xml doc rewrite

.github/workflows/Publish.yml

@@ -1,7 +1,3 @@
-# This workflow integrates SonarCloud analysis, coverage reporting,
-# CodeQL analysis, SecurityCodeScan, and Codacy Security Scan
-# for code scanning and vulnerability detection - and if they all pass, publish
-
 name: Publish Workflow
 
 on:
@@ -82,7 +78,10 @@ jobs:
             -Dsonar.sources=.
             -Dsonar.cs.opencover.reportsPaths=**/*cover*.xml
             -Dsonar.cs.dotcover.reportsPaths=**/dotcover.xml
-            -Dsonar.coverage.exclusions=**Tests.cs
+            -Dsonar.coverage.exclusions=**Tests.cs,**/*.md,**/*.html,**/*.css,**/docs/**/*,**/archive/**/*,**/notebooks/**/*
+            -Dsonar.exclusions=**/TestResults/**/*,**/bin/**/*,**/obj/**/*,**/*.html,**/coverage/**/*,**/CoverageReport/**/*,**/*.md,**/*.css,**/docs/**/*,**/archive/**/*,**/notebooks/**/*
+            -Dsonar.cpd.exclusions=**Tests.cs
+            -Dsonar.test.exclusions=**Tests.cs
 
   CodeQL:
     runs-on: ubuntu-latest

.sonarlint/QuanTAlib.json

@@ -1,4 +1,4 @@
 {
-    "sonarCloudOrganization": "mihakralj-quantalib",
+    "sonarCloudOrganization": "mihakralj",
     "projectKey": "mihakralj_QuanTAlib"
 }

.vscode/launch.json

@@ -0,0 +1,33 @@
+{
+    "version": "0.2.0",
+    "configurations": [
+        {
+            "name": "Debug Tests",
+            "type": "coreclr",
+            "request": "launch",
+            "preLaunchTask": "build",
+            "program": "dotnet",
+            "args": [
+                "test",
+                "${workspaceFolder}/QuanTAlib.sln",
+                "--no-build"
+            ],
+            "cwd": "${workspaceFolder}",
+            "stopAtEntry": false,
+            "console": "internalConsole",
+            "logging": {
+                "moduleLoad": false
+            }
+        },
+        {
+            "name": "Debug Library",
+            "type": "coreclr",
+            "request": "attach",
+            "processId": "${command:pickProcess}",
+            "justMyCode": true,
+            "logging": {
+                "moduleLoad": false
+            }
+        }
+    ]
+}

.vscode/settings.json

@@ -7,9 +7,9 @@
         }
     ],
     "sarif-viewer.connectToGithubCodeScanning": "on",
-    "dotnet.dotnetPath": "C:/Program Files/dotnet",
+    "dotnet.dotnetPath": "/opt/homebrew/bin/",
     "omnisharp.useModernNet": true,
-    "omnisharp.sdkPath": "C:/Program Files/dotnet/sdk",
+    "omnisharp.sdkPath": "/opt/homebrew/bin/dotnet",
     "sonarlint.connectedMode.project": {
         "connectionId": "mihakralj",
         "projectKey": "mihakralj_QuanTAlib"

.vscode/tasks.json

@@ -0,0 +1,62 @@
+{
+    "version": "2.0.0",
+    "tasks": [
+        {
+            "label": "build",
+            "command": "dotnet",
+            "type": "process",
+            "args": [
+                "build",
+                "${workspaceFolder}/QuanTAlib.sln",
+                "/property:GenerateFullPaths=true",
+                "/consoleloggerparameters:NoSummary"
+            ],
+            "problemMatcher": "$msCompile",
+            "group": {
+                "kind": "build",
+                "isDefault": true
+            }
+        },
+        {
+            "label": "test",
+            "command": "dotnet",
+            "type": "process",
+            "args": [
+                "test",
+                "${workspaceFolder}/QuanTAlib.sln",
+                "--no-build",
+                "--verbosity:normal"
+            ],
+            "problemMatcher": "$msCompile",
+            "group": {
+                "kind": "test",
+                "isDefault": true
+            },
+            "dependsOn": ["build"]
+        },
+        {
+            "label": "test with coverage",
+            "command": "dotnet",
+            "type": "process",
+            "args": [
+                "test",
+                "${workspaceFolder}/QuanTAlib.sln",
+                "/p:CollectCoverage=true",
+                "/p:CoverletOutputFormat=lcov",
+                "/p:CoverletOutput=./lcov.info",
+                "--no-build"
+            ],
+            "problemMatcher": "$msCompile"
+        },
+        {
+            "label": "clean",
+            "command": "dotnet",
+            "type": "process",
+            "args": [
+                "clean",
+                "${workspaceFolder}/QuanTAlib.sln"
+            ],
+            "problemMatcher": "$msCompile"
+        }
+    ]
+}

Tests/Tests.csproj

@@ -4,6 +4,10 @@
     <AssemblyName>QuanTAlib.Tests</AssemblyName>
   </PropertyGroup>
   <ItemGroup>
+    <PackageReference Include="coverlet.msbuild" Version="6.0.2">
+      <IncludeAssets>runtime; build; native; contentfiles; analyzers; buildtransitive</IncludeAssets>
+      <PrivateAssets>all</PrivateAssets>
+    </PackageReference>
     <PackageReference Include="xunit" Version="2.9.2" />
     <PackageReference Include="coverlet.collector" Version="6.0.2" />
     <PackageReference Include="xunit.runner.visualstudio" Version="3.0.0-pre.35">

lib/averages/Afirma.cs

@@ -1,8 +1,18 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// AFIRMA: Adaptive FIR Moving Average
+/// A finite impulse response (FIR) filter that combines windowing functions with sinc-based filtering.
+/// Provides superior noise reduction while maintaining signal fidelity through adaptive filtering.
+/// </summary>
+/// <remarks>
+/// Implementation:
+///     Original implementation based on FIR filter design principles
+/// </remarks>
+
 public class Afirma : AbstractBase
 {
-
     public enum WindowType
     {
         Rectangular,
@@ -22,6 +32,10 @@ public class Afirma : AbstractBase
     private readonly int _n;
     private readonly double _sx2, _sx3, _sx4, _sx5, _sx6, _den;
 
+    /// <param name="periods">The number of periods for the sinc filter calculation.</param>
+    /// <param name="taps">The number of filter taps (filter length). Must be odd number.</param>
+    /// <param name="window">The type of window function to apply (Rectangular, Hanning1, Hanning2, Blackman, or BlackmanHarris).</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when periods or taps is less than 1.</exception>
     public Afirma(int periods, int taps, WindowType window)
     {
         if (periods < 1)
@@ -54,6 +68,10 @@ public class Afirma : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="periods">The number of periods for the sinc filter calculation.</param>
+    /// <param name="taps">The number of filter taps (filter length). Must be odd number.</param>
+    /// <param name="window">The type of window function to apply (Rectangular, Hanning1, Hanning2, Blackman, or BlackmanHarris).</param>
     public Afirma(object source, int periods, int taps, WindowType window) : this(periods, taps, window)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -147,5 +165,4 @@ public class Afirma : AbstractBase
         }
         return wsum;
     }
-
 }

lib/averages/Convolution.cs

@@ -1,5 +1,16 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// Convolution: A fundamental signal processing operation that combines two signals to form a third signal
+/// Applies a custom kernel (weight array) to the input data through convolution, allowing for flexible
+/// filtering operations. The kernel is automatically normalized to ensure consistent output scaling.
+/// </summary>
+/// <remarks>
+/// Implementation:
+///     Based on standard discrete convolution principles from signal processing
+/// </remarks>
+
 public class Convolution : AbstractBase
 {
     private readonly double[] _kernel;
@@ -7,6 +18,8 @@ public class Convolution : AbstractBase
     private readonly CircularBuffer _buffer;
     private readonly double[] _normalizedKernel;
 
+    /// <param name="kernel">Array of weights defining the convolution operation. The length of this array determines the filter's window size.</param>
+    /// <exception cref="ArgumentException">Thrown when kernel is null or empty.</exception>
     public Convolution(double[] kernel)
     {
         if (kernel == null || kernel.Length == 0)
@@ -20,6 +33,8 @@ public class Convolution : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="kernel">Array of weights defining the convolution operation.</param>
     public Convolution(object source, double[] kernel) : this(kernel)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -100,4 +115,4 @@ public class Convolution : AbstractBase
 
         return sum;
     }
-}
+}

lib/averages/Epma.cs

@@ -1,10 +1,35 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// EPMA: Endpoint Moving Average
+/// A moving average that uses a specialized convolution kernel to emphasize recent price movements
+/// while maintaining a connection to historical data. The weights decrease linearly with a focus
+/// on endpoints.
+/// </summary>
+/// <remarks>
+/// The EPMA uses a unique weighting scheme where:
+/// - The most recent price gets the highest weight: (2 * period - 1)
+/// - Each previous price gets a weight reduced by 3: (2 * period - 1) - 3i
+/// - Weights are normalized to sum to 1
+///
+/// Key characteristics:
+/// - Emphasizes recent price movements more than traditional moving averages
+/// - Maintains some influence from historical data
+/// - Uses convolution for efficient calculation
+/// - Provides better endpoint preservation than simple moving averages
+///
+/// Implementation:
+///     Original implementation based on convolution principles
+/// </remarks>
+
 public class Epma : AbstractBase
 {
     private readonly int _period;
     private readonly Convolution _convolution;
 
+    /// <param name="period">The number of data points used in the EPMA calculation.</param>
+    /// <exception cref="ArgumentException">Thrown when period is less than 1.</exception>
     public Epma(int period)
     {
         if (period < 1)
@@ -18,6 +43,8 @@ public class Epma : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of data points used in the EPMA calculation.</param>
     public Epma(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -60,6 +87,11 @@ public class Epma : AbstractBase
         return result;
     }
 
+    /// <summary>
+    /// Generates the convolution kernel for the EPMA calculation.
+    /// </summary>
+    /// <param name="period">The period for which to generate the kernel.</param>
+    /// <returns>An array of normalized weights for the convolution operation.</returns>
     public static double[] GenerateKernel(int period)
     {
         double[] kernel = new double[period];
@@ -79,4 +111,4 @@ public class Epma : AbstractBase
 
         return kernel;
     }
-}
+}

lib/averages/Frama.cs

@@ -2,6 +2,29 @@ using System;
 
 namespace QuanTAlib;
 
+/// <summary>
+/// FRAMA: Fractal Adaptive Moving Average
+/// An adaptive moving average that adjusts its smoothing factor based on the fractal dimension
+/// of the price series. FRAMA automatically adapts to market conditions, becoming more responsive
+/// during trends and more stable during sideways markets.
+/// </summary>
+/// <remarks>
+/// The FRAMA algorithm works by:
+/// 1. Calculating the fractal dimension of the price series
+/// 2. Using this dimension to determine the optimal alpha (smoothing factor)
+/// 3. Applying an EMA with the adaptive alpha
+///
+/// Key characteristics:
+/// - Self-adaptive to market conditions
+/// - Reduces lag during trending periods
+/// - Increases smoothing during sideways markets
+/// - Uses fractal geometry principles for market analysis
+///
+/// Sources:
+///     John Ehlers - "FRAMA: A Trend-Following Indicator"
+///     https://www.mesasoftware.com/papers/FRAMA.pdf
+/// </remarks>
+
 public class Frama : AbstractBase
 {
     private readonly int _period;
@@ -9,6 +32,8 @@ public class Frama : AbstractBase
     private double _lastFrama;
     private double _prevLastFrama;
 
+    /// <param name="period">The number of periods used for fractal dimension calculation. Must be at least 2.</param>
+    /// <exception cref="ArgumentException">Thrown when period is less than 2.</exception>
     public Frama(int period)
     {
         if (period < 2)
@@ -19,6 +44,8 @@ public class Frama : AbstractBase
         WarmupPeriod = period;
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of periods used for fractal dimension calculation.</param>
     public Frama(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -99,4 +126,4 @@ public class Frama : AbstractBase
     {
         return _lastFrama;
     }
-}
+}

lib/averages/Fwma.cs

@@ -1,9 +1,35 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// FWMA: Fibonacci Weighted Moving Average
+/// A moving average that uses Fibonacci numbers as weights in its calculation. The weights
+/// are arranged in reverse order so that recent prices receive higher weights corresponding
+/// to larger Fibonacci numbers.
+/// </summary>
+/// <remarks>
+/// The FWMA calculation process:
+/// 1. Generates a Fibonacci sequence up to the specified period
+/// 2. Reverses the sequence to give higher weights to recent prices
+/// 3. Normalizes the weights to sum to 1
+/// 4. Applies the weights through convolution
+///
+/// Key characteristics:
+/// - Uses Fibonacci sequence for weight distribution
+/// - Recent prices receive higher weights
+/// - Natural progression of weights based on the golden ratio
+/// - Implemented using efficient convolution operations
+///
+/// Implementation:
+///     Original implementation based on Fibonacci sequence principles
+/// </remarks>
+
 public class Fwma : AbstractBase
 {
     private readonly Convolution _convolution;
 
+    /// <param name="period">The number of data points used in the FWMA calculation.</param>
+    /// <exception cref="ArgumentException">Thrown when period is less than 1.</exception>
     public Fwma(int period)
     {
         if (period < 1)
@@ -16,12 +42,19 @@ public class Fwma : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of data points used in the FWMA calculation.</param>
     public Fwma(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
+    /// <summary>
+    /// Generates the Fibonacci-based convolution kernel for the FWMA calculation.
+    /// </summary>
+    /// <param name="period">The period for which to generate the kernel.</param>
+    /// <returns>An array of normalized Fibonacci-based weights for the convolution operation.</returns>
     public static double[] GenerateKernel(int period)
     {
         double[] kernel = new double[period];
@@ -78,4 +111,4 @@ public class Fwma : AbstractBase
 
         return result;
     }
-}
+}

lib/averages/Gma.cs

@@ -1,9 +1,35 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// GMA: Gaussian Moving Average
+/// A moving average that uses weights based on the Gaussian (normal) distribution curve.
+/// This creates a smooth, bell-shaped weighting scheme that gives maximum weight to the
+/// center of the period and gradually decreasing weights towards the edges.
+/// </summary>
+/// <remarks>
+/// The GMA calculation process:
+/// 1. Creates a Gaussian distribution of weights centered on the period
+/// 2. Normalizes the weights to sum to 1
+/// 3. Applies the weights through convolution
+///
+/// Key characteristics:
+/// - Smooth, symmetric weight distribution
+/// - Natural bell curve weighting
+/// - Reduces noise while preserving signal characteristics
+/// - Less sensitive to outliers than simple moving averages
+/// - Implemented using efficient convolution operations
+///
+/// Implementation:
+///     Based on Gaussian distribution principles from statistics
+/// </remarks>
+
 public class Gma : AbstractBase
 {
     private readonly Convolution _convolution;
 
+    /// <param name="period">The number of data points used in the GMA calculation.</param>
+    /// <exception cref="ArgumentException">Thrown when period is less than 1.</exception>
     public Gma(int period)
     {
         if (period < 1)
@@ -16,12 +42,20 @@ public class Gma : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of data points used in the GMA calculation.</param>
     public Gma(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
+    /// <summary>
+    /// Generates the Gaussian-based convolution kernel for the GMA calculation.
+    /// </summary>
+    /// <param name="period">The period for which to generate the kernel.</param>
+    /// <param name="sigma">The standard deviation parameter controlling the spread of the Gaussian curve. Default is 1.0.</param>
+    /// <returns>An array of normalized Gaussian-based weights for the convolution operation.</returns>
     public static double[] GenerateKernel(int period, double sigma = 1.0)
     {
         double[] kernel = new double[period];
@@ -71,4 +105,4 @@ public class Gma : AbstractBase
 
         return result;
     }
-}
+}

lib/averages/Hma.cs

@@ -1,9 +1,37 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// HMA: Hull Moving Average
+/// A moving average designed by Alan Hull to reduce lag while maintaining smoothness.
+/// It combines weighted moving averages of different periods to achieve better
+/// responsiveness to price changes while minimizing noise.
+/// </summary>
+/// <remarks>
+/// The HMA calculation process:
+/// 1. Calculate WMA with period n/2
+/// 2. Calculate WMA with period n
+/// 3. Calculate difference: 2*WMA(n/2) - WMA(n)
+/// 4. Apply final WMA with period sqrt(n) to the difference
+///
+/// Key characteristics:
+/// - Significantly reduced lag compared to traditional moving averages
+/// - Maintains smoothness despite the reduced lag
+/// - Responds more quickly to price changes
+/// - Better at identifying trend changes
+/// - Uses weighted moving averages for all calculations
+///
+/// Sources:
+///     Alan Hull - "Better Trading with Hull Moving Average"
+///     https://alanhull.com/hull-moving-average
+/// </remarks>
+
 public class Hma : AbstractBase
 {
     private readonly Convolution _wmaHalf, _wmaFull, _wmaFinal;
 
+    /// <param name="period">The number of data points used in the HMA calculation. Must be at least 2.</param>
+    /// <exception cref="ArgumentException">Thrown when period is less than 2.</exception>
     public Hma(int period)
     {
         if (period < 2)
@@ -19,12 +47,19 @@ public class Hma : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of data points used in the HMA calculation.</param>
     public Hma(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
+    /// <summary>
+    /// Generates the weighted moving average kernel for the HMA calculation.
+    /// </summary>
+    /// <param name="period">The period for which to generate the kernel.</param>
+    /// <returns>An array of linearly weighted values for the convolution operation.</returns>
     private static double[] GenerateWmaKernel(int period)
     {
         double[] kernel = new double[period];
@@ -72,4 +107,4 @@ public class Hma : AbstractBase
         IsHot = _index >= WarmupPeriod;
         return result;
     }
-}
+}

lib/averages/Htit.cs

@@ -1,8 +1,32 @@
-//not working yet
+using System;
-//TODO fails consistency test
-
 namespace QuanTAlib;
 
+/// <summary>
+/// HTIT: Hilbert Transform Instantaneous Trendline
+/// A sophisticated moving average that uses the Hilbert Transform to identify the dominant cycle
+/// period in price data and create a smooth trend line. It adapts to the market's natural cycles
+/// and provides a dynamic moving average.
+/// </summary>
+/// <remarks>
+/// The HTIT calculation process:
+/// 1. Uses a Hilbert Transform to decompose price into in-phase and quadrature components
+/// 2. Employs a homodyne discriminator to determine the dominant cycle period
+/// 3. Applies smoothing based on the detected cycle period
+/// 4. Creates a trend line that automatically adapts to market cycles
+///
+/// Key characteristics:
+/// - Automatically adapts to market cycles
+/// - Reduces lag by using cycle analysis
+/// - Complex signal processing for better trend identification
+/// - Combines multiple digital signal processing techniques
+///
+/// Sources:
+///     John Ehlers - "Cycle Analytics for Traders"
+///
+/// Note: This implementation is currently under development and may not pass
+/// all consistency tests.
+/// </remarks>
+
 public class Htit : AbstractBase
 {
     private readonly CircularBuffer _priceBuffer = new(7);
@@ -21,12 +45,19 @@ public class Htit : AbstractBase
     private double _lastPd = 0;
     private double _p_lastPd = 0;
 
+    /// <summary>
+    /// Initializes a new instance of the Htit class.
+    /// </summary>
     public Htit()
     {
         Name = "Htit";
         WarmupPeriod = 12;
     }
 
+    /// <summary>
+    /// Initializes a new instance of the Htit class with a specified source.
+    /// </summary>
+    /// <param name="source">The data source object that publishes updates.</param>
     public Htit(object source) : this()
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -45,6 +76,7 @@ public class Htit : AbstractBase
             _lastPd = _p_lastPd;
         }
     }
+
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
@@ -141,4 +173,4 @@ public class Htit : AbstractBase
 
         return pr;
     }
-}
+}

lib/averages/Hwma.cs

@@ -1,5 +1,33 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// HWMA: Holt-Winters Moving Average
+/// A triple exponential smoothing method that incorporates level (F), velocity (V), and
+/// acceleration (A) components to create a responsive yet smooth moving average. This
+/// implementation uses optimized smoothing factors for each component.
+/// </summary>
+/// <remarks>
+/// The HWMA calculation process:
+/// 1. Updates the level (F) component using alpha smoothing
+/// 2. Updates the velocity (V) component using beta smoothing
+/// 3. Updates the acceleration (A) component using gamma smoothing
+/// 4. Combines all components for final value: F + V + 0.5A
+///
+/// Key characteristics:
+/// - Adapts to both trends and acceleration in price movement
+/// - Three separate smoothing factors for fine-tuned control
+/// - More responsive to changes than simple moving averages
+/// - Handles both linear and non-linear trends
+///
+/// Implementation:
+///     Based on Holt-Winters triple exponential smoothing principles
+///     with optimized default parameters:
+///     - Alpha (nA) = 2/(period + 1)
+///     - Beta (nB) = 1/period
+///     - Gamma (nC) = 1/period
+/// </remarks>
+
 public class Hwma : AbstractBase
 {
     private readonly int _period;
@@ -7,14 +35,23 @@ public class Hwma : AbstractBase
     private double _pF, _pV, _pA;
     private double _ppF, _ppV, _ppA;
 
+    /// <param name="period">The number of data points used in the HWMA calculation.</param>
     public Hwma(int period) : this(period, 2.0 / (1 + period), 1.0 / period, 1.0 / period)
     {
     }
 
+    /// <param name="nA">Alpha smoothing factor for the level component.</param>
+    /// <param name="nB">Beta smoothing factor for the velocity component.</param>
+    /// <param name="nC">Gamma smoothing factor for the acceleration component.</param>
     public Hwma(double nA, double nB, double nC) : this((int)((2 - nA) / nA), nA, nB, nC)
     {
     }
 
+    /// <param name="period">The number of data points used in the HWMA calculation.</param>
+    /// <param name="nA">Alpha smoothing factor for the level component.</param>
+    /// <param name="nB">Beta smoothing factor for the velocity component.</param>
+    /// <param name="nC">Gamma smoothing factor for the acceleration component.</param>
+    /// <exception cref="ArgumentException">Thrown when period is less than 1.</exception>
     public Hwma(int period, double nA, double nB, double nC)
     {
         if (period < 1)
@@ -30,6 +67,8 @@ public class Hwma : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of data points used in the HWMA calculation.</param>
     public Hwma(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -58,7 +97,6 @@ public class Hwma : AbstractBase
             _pF = _ppF;
             _pV = _ppV;
             _pA = _ppA;
-
         }
     }
 
@@ -93,4 +131,4 @@ public class Hwma : AbstractBase
         IsHot = _index >= WarmupPeriod;
         return hwma;
     }
-}
+}

lib/averages/Jma.cs

@@ -1,9 +1,31 @@
-/// <summary>
+using System;
-/// Represents a Jurik Moving Average, based on known and reverse-engineered insights
-/// </summary>
-
 namespace QuanTAlib;
 
+/// <summary>
+/// JMA: Jurik Moving Average
+/// A sophisticated moving average that combines adaptive volatility measurement with
+/// phase-shifted smoothing. JMA provides excellent noise reduction while maintaining
+/// responsiveness to significant price movements.
+/// </summary>
+/// <remarks>
+/// The JMA calculation process:
+/// 1. Calculates adaptive volatility bands
+/// 2. Uses volatility to adjust smoothing parameters
+/// 3. Applies phase-shifted smoothing for lag reduction
+/// 4. Combines multiple smoothing stages for final output
+///
+/// Key characteristics:
+/// - Adaptive smoothing based on price volatility
+/// - Phase-shifting to reduce lag
+/// - Excellent noise reduction
+/// - Maintains responsiveness to significant moves
+/// - Provides volatility bands as additional outputs
+///
+/// Implementation:
+///     Based on known and reverse-engineered insights from Jurik Research
+///     Original work by Mark Jurik
+/// </remarks>
+
 public class Jma : AbstractBase
 {
     private readonly double _period;
@@ -18,7 +40,6 @@ public class Jma : AbstractBase
     private double _prevMa1, _prevDet0, _prevDet1, _prevJma, _p_prevMa1, _p_prevDet0, _p_prevDet1, _p_prevJma;
     private double _vSum, _p_vSum;
 
-
     public double UpperBand { get; set; }
     public double LowerBand { get; set; }
     public double Volty { get; set; }
@@ -27,11 +48,11 @@ public class Jma : AbstractBase
     /// <summary>
     /// Initializes a new instance of the Jma class with the specified parameters.
     /// </summary>
-    /// <param name="period">The period over which to calculate the Jvolty.</param>
+    /// <param name="period">The period over which to calculate the JMA.</param>
-    /// <param name="phase">The phase parameter for the JMA-style calculation.</param>
+    /// <param name="phase">The phase parameter (-100 to +100) controlling lag compensation.</param>
-    /// <exception cref="ArgumentOutOfRangeException">
+    /// <param name="factor">The factor controlling volatility adaptation (default 0.45).</param>
-    /// Thrown when period is less than 1.
+    /// <param name="buffer">The size of the volatility buffer (default 10).</param>
-    /// </exception>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Jma(int period, int phase = 0, double factor = 0.45, int buffer = 10)
     {
         if (period < 1)
@@ -51,20 +72,19 @@ public class Jma : AbstractBase
     }
 
     /// <summary>
-    /// Initializes a new instance of the Jvolty class with the specified source and parameters.
+    /// Initializes a new instance of the Jma class with a specified source.
     /// </summary>
-    /// <param name="source">The source object to subscribe to for value updates.</param>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// <param name="period">The period over which to calculate the Jvolty.</param>
+    /// <param name="period">The period over which to calculate the JMA.</param>
-    /// <param name="phase">The phase parameter for the JMA-style calculation.</param>
+    /// <param name="phase">The phase parameter (-100 to +100) controlling lag compensation.</param>
+    /// <param name="factor">The factor controlling volatility adaptation (default 0.45).</param>
+    /// <param name="buffer">The size of the volatility buffer (default 10).</param>
     public Jma(object source, int period, int phase = 0, double factor = 0.45, int buffer = 10) : this(period, phase, factor, buffer)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Initializes the Jma instance by setting up the initial state.
-    /// </summary>
     public override void Init()
     {
         base.Init();
@@ -76,10 +96,6 @@ public class Jma : AbstractBase
         _vsumBuff.Clear();
     }
 
-    /// <summary>
-    /// Manages the state of the Jma instance based on whether a new value is being processed.
-    /// </summary>
-    /// <param name="isNew">Indicates whether the current input is a new value.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -105,12 +121,6 @@ public class Jma : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the Jma calculation for the current value.
-    /// </summary>
-    /// <returns>
-    /// The calculated Jma value for the current input.
-    /// </returns>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
@@ -141,10 +151,10 @@ public class Jma : AbstractBase
         _lowerBand = (del2 <= 0) ? price : price - (Kv * del2);
 
         double _alpha = Math.Pow(_beta, pow2);
-        double ma1 = Input.Value + _alpha * (_prevMa1 - Input.Value);  //original: (1 - _alpha) * Input.Value + _alpha * _prevMa1;
+        double ma1 = Input.Value + _alpha * (_prevMa1 - Input.Value);
         _prevMa1 = ma1;
 
-        double det0 = price + _beta * (_prevDet0 - price + ma1) - ma1; //original: (price - ma1) * (1 - _beta) + _beta * _prevDet0;
+        double det0 = price + _beta * (_prevDet0 - price + ma1) - ma1;
         _prevDet0 = det0;
         double ma2 = ma1 + _phase * det0;
 

lib/averages/Kama.cs

@@ -1,5 +1,30 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// KAMA: Kaufman's Adaptive Moving Average
+/// An adaptive moving average that adjusts its smoothing based on market efficiency.
+/// KAMA responds quickly during trending periods and becomes more stable during
+/// sideways or choppy markets.
+/// </summary>
+/// <remarks>
+/// The KAMA calculation process:
+/// 1. Calculates the Efficiency Ratio (ER) to measure market noise
+/// 2. Uses ER to determine the optimal smoothing between fast and slow constants
+/// 3. Applies the adaptive smoothing to create the moving average
+///
+/// Key characteristics:
+/// - Self-adaptive to market conditions
+/// - Fast response during trends
+/// - Stable during sideways markets
+/// - Uses market efficiency for smoothing adjustment
+/// - Reduces whipsaws in choppy markets
+///
+/// Sources:
+///     Perry Kaufman - "Smarter Trading"
+///     https://www.investopedia.com/terms/k/kaufmansadaptivemovingaverage.asp
+/// </remarks>
+
 public class Kama : AbstractBase
 {
     private readonly int _period;
@@ -7,6 +32,10 @@ public class Kama : AbstractBase
     private CircularBuffer? _buffer;
     private double _lastKama, _p_lastKama;
 
+    /// <param name="period">The number of periods used to calculate the Efficiency Ratio.</param>
+    /// <param name="fast">The number of periods for the fastest EMA response (default 2).</param>
+    /// <param name="slow">The number of periods for the slowest EMA response (default 30).</param>
+    /// <exception cref="ArgumentException">Thrown when period is less than 1.</exception>
     public Kama(int period, int fast = 2, int slow = 30)
     {
         if (period < 1)
@@ -21,6 +50,10 @@ public class Kama : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of periods used to calculate the Efficiency Ratio.</param>
+    /// <param name="fast">The number of periods for the fastest EMA response (default 2).</param>
+    /// <param name="slow">The number of periods for the slowest EMA response (default 30).</param>
     public Kama(object source, int period, int fast = 2, int slow = 30) : this(period, fast, slow)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -80,4 +113,4 @@ public class Kama : AbstractBase
 
         return kama;
     }
-}
+}

lib/averages/Ltma.cs

@@ -1,6 +1,30 @@
+using System;
 namespace QuanTAlib;
 
-// https://www.mesasoftware.com/papers/TimeWarp.pdf
+/// <summary>
+/// LTMA: Laguerre Time Moving Average
+/// A sophisticated moving average that uses Laguerre polynomials to create a time-based
+/// filter. This approach provides excellent noise reduction while maintaining
+/// responsiveness to price changes.
+/// </summary>
+/// <remarks>
+/// The LTMA calculation process:
+/// 1. Applies a cascade of four Laguerre filters
+/// 2. Each filter stage provides additional smoothing
+/// 3. Combines the filtered outputs with optimal weights
+/// 4. Produces a smooth output with minimal lag
+///
+/// Key characteristics:
+/// - Time-based filtering using Laguerre polynomials
+/// - Excellent noise reduction
+/// - Maintains good responsiveness
+/// - Single parameter (gamma) controls smoothing
+/// - Computationally efficient
+///
+/// Sources:
+///     John Ehlers - "Time Warp - Without Space Travel"
+///     https://www.mesasoftware.com/papers/TimeWarp.pdf
+/// </remarks>
 
 public class Ltma : AbstractBase
 {
@@ -8,8 +32,13 @@ public class Ltma : AbstractBase
     private double _prevL0, _prevL1, _prevL2, _prevL3;
     private double _p_prevL0, _p_prevL1, _p_prevL2, _p_prevL3;
 
+    /// <summary>
+    /// Gets the gamma parameter value used in the Laguerre filter.
+    /// </summary>
     public double Gamma => _gamma;
 
+    /// <param name="gamma">The damping factor (0 to 1) controlling the smoothing. Lower values provide more smoothing.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when gamma is not between 0 and 1.</exception>
     public Ltma(double gamma = 0.1)
     {
         if (gamma < 0 || gamma > 1)
@@ -20,6 +49,8 @@ public class Ltma : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="gamma">The damping factor (0 to 1) controlling the smoothing.</param>
     public Ltma(object source, double gamma = 0.1) : this(gamma)
     {
         var pubEvent = source.GetType().GetEvent("Pub");

lib/averages/Maaf.cs

@@ -1,8 +1,33 @@
+using System;
+using System.Linq;
 namespace QuanTAlib;
 
-// https://efs.kb.esignal.com/hc/en-us/articles/6362791434395-2005-Mar-The-Secret-Behind-The-Filter-MedianAdaptiveFilter-efs
+/// <summary>
-
+/// MAAF: Median Adaptive Average Filter
-//TODO Fix initial values
+/// A sophisticated moving average that combines median filtering with adaptive smoothing
+/// to provide robust noise reduction while maintaining signal fidelity. The filter
+/// automatically adjusts its length based on market conditions.
+/// </summary>
+/// <remarks>
+/// The MAAF calculation process:
+/// 1. Applies initial smoothing using weighted moving average
+/// 2. Uses median filtering to remove outliers
+/// 3. Adaptively adjusts filter length based on price deviation
+/// 4. Applies final EMA smoothing with adaptive period
+///
+/// Key characteristics:
+/// - Combines median and exponential filtering
+/// - Adaptive period adjustment
+/// - Robust noise reduction
+/// - Preserves significant price movements
+/// - Reduces impact of outliers
+///
+/// Sources:
+///     John F. Ehlers - "The Secret Behind The Filter"
+///     https://efs.kb.esignal.com/hc/en-us/articles/6362791434395-2005-Mar-The-Secret-Behind-The-Filter-MedianAdaptiveFilter-efs
+///
+/// Note: Initial values handling is currently under development.
+/// </remarks>
 
 public class Maaf : AbstractBase
 {
@@ -14,6 +39,8 @@ public class Maaf : AbstractBase
 
     private readonly int _period;
 
+    /// <param name="period">The initial period for the filter (default 39).</param>
+    /// <param name="threshold">The threshold for adaptive adjustment (default 0.002).</param>
     public Maaf(int period = 39, double threshold = 0.002)
     {
         _period = period;
@@ -25,6 +52,9 @@ public class Maaf : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The initial period for the filter (default 39).</param>
+    /// <param name="threshold">The threshold for adaptive adjustment (default 0.002).</param>
     public Maaf(object source, int period = 39, double threshold = 0.002) : this(period, threshold)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -70,7 +100,6 @@ public class Maaf : AbstractBase
         double smooth = (_priceBuffer[^1] + (2 * _priceBuffer[^2]) + (2 * _priceBuffer[^3]) + _priceBuffer[^4]) / 6;
         _smoothBuffer.Add(smooth, Input.IsNew);
 
-
         if (_smoothBuffer.Count < _period)
         {
             return smooth;

lib/averages/Mama.cs

@@ -1,5 +1,32 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// MAMA: MESA Adaptive Moving Average
+/// A highly sophisticated adaptive moving average that uses the MESA (Maximum Entropy
+/// Spectral Analysis) algorithm to detect market cycles and adjust its smoothing
+/// accordingly. MAMA provides both a faster (MAMA) and slower (FAMA) moving average.
+/// </summary>
+/// <remarks>
+/// The MAMA calculation process:
+/// 1. Uses Hilbert Transform to decompose price into phase and amplitude
+/// 2. Calculates the dominant cycle period using phase analysis
+/// 3. Determines phase position and rate of change
+/// 4. Adapts smoothing based on phase changes
+/// 5. Generates both MAMA and FAMA (Following Adaptive Moving Average)
+///
+/// Key characteristics:
+/// - Highly adaptive to market conditions
+/// - Provides two synchronized moving averages
+/// - Uses cycle analysis for adaptation
+/// - Excellent at identifying trend changes
+/// - Combines multiple signal processing techniques
+///
+/// Sources:
+///     John Ehlers - "MESA Adaptive Moving Averages"
+///     https://www.mesasoftware.com/papers/MAMA.pdf
+/// </remarks>
+
 public class Mama : AbstractBase
 {
     private readonly double _fastLimit, _slowLimit;
@@ -8,8 +35,13 @@ public class Mama : AbstractBase
     private double _prevMama, _prevFama, _sumPr;
     private double _p_prevMama, _p_prevFama, _p_sumPr;
 
+    /// <summary>
+    /// Gets the Following Adaptive Moving Average (FAMA) value.
+    /// </summary>
     public TValue Fama { get; private set; }
 
+    /// <param name="fastLimit">The maximum adaptation speed (default 0.5).</param>
+    /// <param name="slowLimit">The minimum adaptation speed (default 0.05).</param>
     public Mama(double fastLimit = 0.5, double slowLimit = 0.05)
     {
         Fama = new TValue();
@@ -30,6 +62,9 @@ public class Mama : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="fastLimit">The maximum adaptation speed (default 0.5).</param>
+    /// <param name="slowLimit">The minimum adaptation speed (default 0.05).</param>
     public Mama(object source, double fastLimit = 0.5, double slowLimit = 0.05) : this(fastLimit, slowLimit)
     {
         var pubEvent = source.GetType().GetEvent("Pub");

lib/averages/Mgdi.cs

@@ -1,10 +1,39 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// MGDI: Modified Geometric Decay Index
+/// A moving average that uses geometric decay with a ratio-based adjustment factor.
+/// The decay rate is modified based on the ratio between current and previous values,
+/// allowing for adaptive smoothing based on price movement magnitude.
+/// </summary>
+/// <remarks>
+/// The MGDI calculation process:
+/// 1. Calculates ratio between current and previous values
+/// 2. Uses ratio to modify the geometric decay rate
+/// 3. Applies modified decay to smooth the data
+/// 4. Adjusts smoothing based on K-factor parameter
+///
+/// Key characteristics:
+/// - Geometric decay-based smoothing
+/// - Adaptive to price movement magnitude
+/// - Adjustable smoothing via K-factor
+/// - More responsive to large price changes
+/// - Maintains smoothness during small fluctuations
+///
+/// Implementation:
+///     Based on geometric decay principles with ratio-based modification
+/// </remarks>
+
 public class Mgdi : AbstractBase
 {
     private readonly int _period;
     private readonly double _kFactor;
     private double _prevMd, _p_prevMd;
+
+    /// <param name="period">The number of periods used in the MGDI calculation.</param>
+    /// <param name="kFactor">The K-factor controlling the decay rate adjustment (default 0.6).</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period or kFactor is less than or equal to 0.</exception>
     public Mgdi(int period, double kFactor = 0.6)
     {
         if (period <= 0)
@@ -22,6 +51,9 @@ public class Mgdi : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of periods used in the MGDI calculation.</param>
+    /// <param name="kFactor">The K-factor controlling the decay rate adjustment (default 0.6).</param>
     public Mgdi(object source, int period, double kFactor = 0.6) : this(period, kFactor)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -67,4 +99,4 @@ public class Mgdi : AbstractBase
         IsHot = _index >= _period;
         return _prevMd;
     }
-}
+}

lib/averages/Mma.cs

@@ -1,11 +1,38 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// MMA: Modified Moving Average
+/// A moving average that combines a simple moving average with a weighted component
+/// to provide a balanced smoothing effect. The weighting scheme emphasizes central
+/// values while maintaining overall data representation.
+/// </summary>
+/// <remarks>
+/// The MMA calculation process:
+/// 1. Calculates the simple moving average component (T/period)
+/// 2. Calculates a weighted sum with symmetric weights around the center
+/// 3. Combines both components using the formula: SMA + 6*WeightedSum/((period+1)*period)
+///
+/// Key characteristics:
+/// - Combines simple and weighted moving averages
+/// - Symmetric weighting around the center
+/// - Better balance between smoothing and responsiveness
+/// - Reduces lag compared to simple moving average
+/// - Maintains stability through dual-component approach
+///
+/// Implementation:
+///     Based on modified moving average principles combining
+///     simple and weighted components for optimal smoothing
+/// </remarks>
+
 public class Mma : AbstractBase
 {
     private readonly int _period;
     private readonly CircularBuffer _buffer;
     private double _lastMma;
 
+    /// <param name="period">The number of periods used in the MMA calculation. Must be at least 2.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 2.</exception>
     public Mma(int period)
     {
         if (period < 2)
@@ -19,6 +46,8 @@ public class Mma : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of periods used in the MMA calculation.</param>
     public Mma(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -61,6 +90,11 @@ public class Mma : AbstractBase
         return _lastMma;
     }
 
+    /// <summary>
+    /// Calculates the weighted sum component of the MMA.
+    /// The weights are symmetric around the center, decreasing linearly from the center outward.
+    /// </summary>
+    /// <returns>The weighted sum of the data points.</returns>
     private double CalculateWeightedSum()
     {
         double sum = 0;

lib/averages/Pwma.cs

@@ -1,10 +1,39 @@
+using System;
+using System.Linq;
 namespace QuanTAlib;
 
+/// <summary>
+/// PWMA: Pascal Weighted Moving Average
+/// A moving average that uses Pascal's triangle coefficients as weights, providing
+/// a natural distribution of weights that increases towards the center of the period.
+/// This creates a smooth average with balanced emphasis on central values.
+/// </summary>
+/// <remarks>
+/// The PWMA calculation process:
+/// 1. Generates weights using Pascal's triangle coefficients
+/// 2. Normalizes the weights to sum to 1
+/// 3. Applies the weights through convolution
+/// 4. Adjusts for partial periods during warmup
+///
+/// Key characteristics:
+/// - Natural weight distribution from Pascal's triangle
+/// - Symmetric weighting around the center
+/// - Smooth response to price changes
+/// - Balanced between recent and historical data
+/// - Implemented using efficient convolution operations
+///
+/// Implementation:
+///     Based on Pascal's triangle principles for weight generation
+///     Uses convolution for efficient calculation
+/// </remarks>
+
 public class Pwma : AbstractBase
 {
     private readonly int _period;
     private readonly Convolution _convolution;
 
+    /// <param name="period">The number of data points used in the PWMA calculation.</param>
+    /// <exception cref="ArgumentException">Thrown when period is less than 1.</exception>
     public Pwma(int period)
     {
         if (period < 1)
@@ -18,6 +47,8 @@ public class Pwma : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of data points used in the PWMA calculation.</param>
     public Pwma(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -60,6 +91,11 @@ public class Pwma : AbstractBase
         return result;
     }
 
+    /// <summary>
+    /// Generates the Pascal's triangle-based convolution kernel for the PWMA calculation.
+    /// </summary>
+    /// <param name="period">The period for which to generate the kernel.</param>
+    /// <returns>An array of normalized Pascal's triangle-based weights for the convolution operation.</returns>
     public static double[] GenerateKernel(int period)
     {
         double[] kernel = new double[period];

lib/averages/Qema.cs

@@ -1,11 +1,42 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// QEMA: Quadruple Exponential Moving Average
+/// A sophisticated moving average that applies four exponential moving averages in sequence
+/// and combines them using a specific formula to reduce lag while maintaining smoothness.
+/// The final combination is: 4*EMA1 - 6*EMA2 + 4*EMA3 - EMA4
+/// </summary>
+/// <remarks>
+/// The QEMA calculation process:
+/// 1. Applies first EMA to price data
+/// 2. Applies second EMA to result of first EMA
+/// 3. Applies third EMA to result of second EMA
+/// 4. Applies fourth EMA to result of third EMA
+/// 5. Combines results using the formula: 4*EMA1 - 6*EMA2 + 4*EMA3 - EMA4
+///
+/// Key characteristics:
+/// - Multiple EMA smoothing stages
+/// - Reduced lag through combination formula
+/// - Customizable smoothing factors for each EMA
+/// - Better noise reduction than single EMA
+/// - Maintains responsiveness to significant moves
+///
+/// Implementation:
+///     Based on quadruple exponential smoothing principles
+///     with optimized combination formula
+/// </remarks>
+
 public class Qema : AbstractBase
 {
-
     private readonly Ema _ema1, _ema2, _ema3, _ema4;
     private double _lastQema, _p_lastQema;
 
+    /// <param name="k1">Smoothing factor for first EMA (default 0.2).</param>
+    /// <param name="k2">Smoothing factor for second EMA (default 0.2).</param>
+    /// <param name="k3">Smoothing factor for third EMA (default 0.2).</param>
+    /// <param name="k4">Smoothing factor for fourth EMA (default 0.2).</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when any k value is less than or equal to 0.</exception>
     public Qema(double k1 = 0.2, double k2 = 0.2, double k3 = 0.2, double k4 = 0.2)
     {
         if (k1 <= 0 || k2 <= 0 || k3 <= 0 || k4 <= 0)
@@ -25,6 +56,11 @@ public class Qema : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="k1">Smoothing factor for first EMA.</param>
+    /// <param name="k2">Smoothing factor for second EMA.</param>
+    /// <param name="k3">Smoothing factor for third EMA.</param>
+    /// <param name="k4">Smoothing factor for fourth EMA.</param>
     public Qema(object source, double k1, double k2, double k3, double k4)
         : this(k1, k2, k3, k4)
     {
@@ -66,4 +102,4 @@ public class Qema : AbstractBase
         IsHot = _index >= WarmupPeriod;
         return _lastQema;
     }
-}
+}

lib/averages/Rema.cs

@@ -1,6 +1,29 @@
+using System;
 namespace QuanTAlib;
 
-//https://user42.tuxfamily.org/chart/manual/Regularized-Exponential-Moving-Average.html
+/// <summary>
+/// REMA: Regularized Exponential Moving Average
+/// A modified exponential moving average that includes a regularization term to reduce
+/// noise and improve trend following. The regularization helps to smooth the output
+/// while maintaining responsiveness to significant price movements.
+/// </summary>
+/// <remarks>
+/// The REMA calculation process:
+/// 1. Uses standard EMA smoothing with adaptive alpha
+/// 2. Adds regularization term based on previous values
+/// 3. Balances new and regularized terms using lambda parameter
+/// 4. Provides smoother output than standard EMA
+///
+/// Key characteristics:
+/// - Improved noise reduction through regularization
+/// - Better trend following than standard EMA
+/// - Adjustable regularization via lambda parameter
+/// - Adaptive alpha based on period
+/// - Reduced whipsaws in choppy markets
+///
+/// Sources:
+///     https://user42.tuxfamily.org/chart/manual/Regularized-Exponential-Moving-Average.html
+/// </remarks>
 
 public class Rema : AbstractBase
 {
@@ -9,9 +32,19 @@ public class Rema : AbstractBase
     private double _lastRema, _prevRema;
     private double _savedLastRema, _savedPrevRema;
 
+    /// <summary>
+    /// Gets the period used in the REMA calculation.
+    /// </summary>
     public int Period => _period;
+
+    /// <summary>
+    /// Gets the lambda (regularization) parameter value.
+    /// </summary>
     public double Lambda => _lambda;
 
+    /// <param name="period">The number of periods used in the REMA calculation.</param>
+    /// <param name="lambda">The regularization parameter (default 0.5). Higher values increase smoothing.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1 or lambda is negative.</exception>
     public Rema(int period, double lambda = 0.5)
     {
         if (period < 1)
@@ -25,11 +58,16 @@ public class Rema : AbstractBase
         WarmupPeriod = period;
         Init();
     }
+
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of periods used in the REMA calculation.</param>
+    /// <param name="lambda">The regularization parameter (default 0.5).</param>
     public Rema(object source, int period, double lambda = 0.5) : this(period, lambda)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
+
     public override void Init()
     {
         base.Init();
@@ -79,4 +117,4 @@ public class Rema : AbstractBase
         IsHot = _index >= WarmupPeriod;
         return _lastRema;
     }
-}
+}

lib/averages/Sinema.cs

@@ -1,9 +1,37 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// SINEMA: Sine-weighted Exponential Moving Average
+/// A moving average that uses sine function-based weights to create a natural
+/// distribution of importance across the period. The weights follow a sine curve,
+/// providing smooth transitions and natural emphasis on different parts of the data.
+/// </summary>
+/// <remarks>
+/// The SINEMA calculation process:
+/// 1. Generates weights using sine function over the period
+/// 2. Normalizes weights to sum to 1
+/// 3. Applies weights through convolution
+/// 4. Produces smooth output with natural weight distribution
+///
+/// Key characteristics:
+/// - Sine-based weight distribution
+/// - Natural smoothing through trigonometric weights
+/// - No sharp transitions in weight values
+/// - Balanced emphasis across the period
+/// - Implemented using efficient convolution operations
+///
+/// Implementation:
+///     Based on sine function principles for weight generation
+///     Uses convolution for efficient calculation
+/// </remarks>
+
 public class Sinema : AbstractBase
 {
     private readonly Convolution _convolution;
 
+    /// <param name="period">The number of data points used in the SINEMA calculation.</param>
+    /// <exception cref="ArgumentException">Thrown when period is less than 1.</exception>
     public Sinema(int period)
     {
         if (period < 1)
@@ -16,6 +44,8 @@ public class Sinema : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of data points used in the SINEMA calculation.</param>
     public Sinema(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -50,6 +80,11 @@ public class Sinema : AbstractBase
         return result;
     }
 
+    /// <summary>
+    /// Generates the sine-based convolution kernel for the SINEMA calculation.
+    /// </summary>
+    /// <param name="period">The period for which to generate the kernel.</param>
+    /// <returns>An array of normalized sine-based weights for the convolution operation.</returns>
     public static double[] GenerateKernel(int period)
     {
         double[] kernel = new double[period];
@@ -70,4 +105,4 @@ public class Sinema : AbstractBase
 
         return kernel;
     }
-}
+}

lib/averages/Sma.cs

@@ -1,11 +1,38 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// SMA: Simple Moving Average
+/// The most basic form of moving average, calculating the arithmetic mean over a
+/// specified period. Each data point in the period has equal weight in the
+/// calculation.
+/// </summary>
+/// <remarks>
+/// The SMA calculation process:
+/// 1. Maintains a buffer of the last 'period' values
+/// 2. Calculates arithmetic mean of all values in the buffer
+/// 3. Updates buffer with new values in FIFO manner
+///
+/// Key characteristics:
+/// - Equal weight for all values in the period
+/// - Simple and straightforward calculation
+/// - Significant lag due to equal weighting
+/// - Smooth output with good noise reduction
+/// - Most basic form of trend following
+///
+/// Sources:
+///     https://www.investopedia.com/terms/s/sma.asp
+///     https://stockcharts.com/school/doku.php?id=chart_school:technical_indicators:moving_averages
+/// </remarks>
+
 public class Sma : AbstractBase
 {
     // inherited _index
     // inherited _value
     private readonly CircularBuffer _buffer;
 
+    /// <param name="period">The number of data points used in the SMA calculation.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Sma(int period)
     {
         if (period < 1)
@@ -19,12 +46,13 @@ public class Sma : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of data points used in the SMA calculation.</param>
     public Sma(object source, int period) : this(period: period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
-    //inhereted public void Sub(object source, in ValueEventArgs args)
 
     protected override void ManageState(bool isNew)
     {
@@ -36,9 +64,9 @@ public class Sma : AbstractBase
     }
 
     /// <summary>
-    /// Core SMA calculation - using _buffer.Average
+    /// Performs the core SMA calculation using the circular buffer's average.
     /// </summary>
-
+    /// <returns>The calculated SMA value.</returns>
     protected override double Calculation()
     {
         double result;
@@ -49,4 +77,4 @@ public class Sma : AbstractBase
         IsHot = _index >= WarmupPeriod;
         return result;
     }
-}
+}

lib/averages/Smma.cs

@@ -1,13 +1,38 @@
 using System;
-
 namespace QuanTAlib;
 
+/// <summary>
+/// SMMA: Smoothed Moving Average
+/// A modified moving average that gives more weight to recent prices while maintaining
+/// a smooth output. It uses the previous SMMA value in its calculation, creating
+/// a smoother line than traditional moving averages.
+/// </summary>
+/// <remarks>
+/// The SMMA calculation process:
+/// 1. Uses SMA for initial value (first period points)
+/// 2. For subsequent points, calculates: (prevSMMA * (period-1) + price) / period
+/// 3. This creates a smoothed effect with reduced volatility
+///
+/// Key characteristics:
+/// - Smoother than traditional moving averages
+/// - Reduced volatility in output
+/// - Takes into account all previous prices
+/// - Good for identifying overall trends
+/// - Less lag than SMA but more than EMA
+///
+/// Implementation:
+///     Based on smoothed moving average principles with
+///     initial SMA seeding for stability
+/// </remarks>
+
 public class Smma : AbstractBase
 {
     private readonly int _period;
     private CircularBuffer? _buffer;
     private double _lastSmma, _p_lastSmma;
 
+    /// <param name="period">The number of data points used in the SMMA calculation.</param>
+    /// <exception cref="ArgumentException">Thrown when period is less than 1.</exception>
     public Smma(int period)
     {
         if (period < 1)
@@ -20,6 +45,8 @@ public class Smma : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of data points used in the SMMA calculation.</param>
     public Smma(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -47,7 +74,6 @@ public class Smma : AbstractBase
         }
     }
 
-
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
@@ -75,4 +101,4 @@ public class Smma : AbstractBase
 
         return smma;
     }
-}
+}

lib/averages/T3.cs

@@ -1,5 +1,31 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// T3: Tillson T3 Moving Average
+/// A sophisticated moving average developed by Tim Tillson that applies six EMAs
+/// in sequence with optimized coefficients. The T3 provides excellent smoothing
+/// while maintaining responsiveness and minimal lag.
+/// </summary>
+/// <remarks>
+/// The T3 calculation process:
+/// 1. Applies six EMAs in sequence
+/// 2. Uses volume factor to determine optimal coefficients
+/// 3. Combines EMAs using specific formula: c1*EMA6 + c2*EMA5 + c3*EMA4 + c4*EMA3
+/// 4. Coefficients are based on the volume factor parameter
+///
+/// Key characteristics:
+/// - Excellent smoothing with minimal lag
+/// - Adjustable via volume factor parameter
+/// - No overshooting like triple EMA
+/// - Better noise reduction than traditional EMAs
+/// - Maintains responsiveness to significant moves
+///
+/// Sources:
+///     Tim Tillson - "Better Moving Averages"
+///     TASC Magazine, 1998
+/// </remarks>
+
 public class T3 : AbstractBase
 {
     private readonly int _period;
@@ -10,6 +36,10 @@ public class T3 : AbstractBase
     private double _lastEma1, _lastEma2, _lastEma3, _lastEma4, _lastEma5, _lastEma6;
     private double _p_lastEma1, _p_lastEma2, _p_lastEma3, _p_lastEma4, _p_lastEma5, _p_lastEma6;
 
+    /// <param name="period">The number of periods used in each EMA calculation.</param>
+    /// <param name="vfactor">Volume factor controlling smoothing (default 0.7).</param>
+    /// <param name="useSma">Whether to use SMA for initial values (default true).</param>
+    /// <exception cref="ArgumentException">Thrown when period is less than 1.</exception>
     public T3(int period, double vfactor = 0.7, bool useSma = true)
     {
         if (period < 1)
@@ -35,11 +65,14 @@ public class T3 : AbstractBase
         _buffer5 = new(period);
         _buffer6 = new(period);
 
-
         Name = $"T3({_period}, {_vfactor})";
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of periods used in each EMA calculation.</param>
+    /// <param name="vfactor">Volume factor controlling smoothing (default 0.7).</param>
+    /// <param name="useSma">Whether to use SMA for initial values (default true).</param>
     public T3(object source, int period, double vfactor = 0.7, bool useSma = true) : this(period, vfactor, useSma)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -81,7 +114,6 @@ public class T3 : AbstractBase
         }
     }
 
-
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
@@ -129,4 +161,4 @@ public class T3 : AbstractBase
         IsHot = _index >= WarmupPeriod;
         return t3;
     }
-}
+}

lib/averages/Tema.cs

@@ -1,5 +1,31 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// TEMA: Triple Exponential Moving Average
+/// A sophisticated moving average that applies three EMAs in sequence with a specific
+/// combination formula to reduce lag while maintaining smoothness. The formula
+/// 3*EMA1 - 3*EMA2 + EMA3 helps eliminate lag in trending markets.
+/// </summary>
+/// <remarks>
+/// The TEMA calculation process:
+/// 1. Calculates first EMA of the price
+/// 2. Calculates second EMA of the first EMA
+/// 3. Calculates third EMA of the second EMA
+/// 4. Combines using formula: 3*EMA1 - 3*EMA2 + EMA3
+///
+/// Key characteristics:
+/// - Significantly reduced lag compared to single EMA
+/// - Better response to trends than standard EMAs
+/// - Maintains smoothness despite reduced lag
+/// - More responsive than double EMA (DEMA)
+/// - Uses compensator for early values
+///
+/// Sources:
+///     Patrick Mulloy - "Smoothing Data with Faster Moving Averages"
+///     Technical Analysis of Stocks and Commodities, 1994
+/// </remarks>
+
 public class Tema : AbstractBase
 {
     private readonly int _period;
@@ -8,6 +34,8 @@ public class Tema : AbstractBase
     private double _lastEma3, _p_lastEma3;
     private double _k, _e, _p_e;
 
+    /// <param name="period">The number of periods used in each EMA calculation.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Tema(int period)
     {
         if (period < 1)
@@ -21,6 +49,8 @@ public class Tema : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of periods used in each EMA calculation.</param>
     public Tema(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -63,9 +93,7 @@ public class Tema : AbstractBase
         double _invE = (_e > 1e-10) ? 1 / (1 - _e) : 1;
 
         _ema1 = _k * (Input.Value - _lastEma1) + _lastEma1;
-
         _ema2 = _k * (_ema1 * _invE - _lastEma2) + _lastEma2;
-
         _ema3 = _k * (_ema2 * _invE - _lastEma3) + _lastEma3;
 
         double _tema = 3 * _ema1 * _invE - 3 * _ema2 * _invE + _ema3 * _invE;
@@ -78,4 +106,4 @@ public class Tema : AbstractBase
         IsHot = _index >= WarmupPeriod;
         return result;
     }
-}
+}

lib/averages/Trima.cs

@@ -1,9 +1,37 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// TRIMA: Triangular Moving Average
+/// A moving average that uses triangular-shaped weights that increase linearly to
+/// the middle of the period and then decrease linearly. This creates a smoother
+/// output than simple moving averages.
+/// </summary>
+/// <remarks>
+/// The TRIMA calculation process:
+/// 1. Generates triangular weights that peak at the center
+/// 2. Weights increase linearly to middle point
+/// 3. Weights decrease linearly from middle point
+/// 4. Applies normalized weights through convolution
+///
+/// Key characteristics:
+/// - Smoother than simple moving average
+/// - Natural emphasis on central values
+/// - Reduced noise sensitivity
+/// - Double smoothing effect
+/// - Implemented using efficient convolution operations
+///
+/// Sources:
+///     https://www.investopedia.com/terms/t/triangularaverage.asp
+///     Technical Analysis of Stocks & Commodities magazine
+/// </remarks>
+
 public class Trima : AbstractBase
 {
     private readonly Convolution _convolution;
 
+    /// <param name="period">The number of data points used in the TRIMA calculation.</param>
+    /// <exception cref="ArgumentException">Thrown when period is less than 1.</exception>
     public Trima(int period)
     {
         if (period < 1)
@@ -16,12 +44,19 @@ public class Trima : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of data points used in the TRIMA calculation.</param>
     public Trima(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
+    /// <summary>
+    /// Generates the triangular-shaped convolution kernel for the TRIMA calculation.
+    /// </summary>
+    /// <param name="period">The period for which to generate the kernel.</param>
+    /// <returns>An array of normalized triangular weights for the convolution operation.</returns>
     private static double[] GenerateKernel(int period)
     {
         double[] kernel = new double[period];
@@ -70,4 +105,4 @@ public class Trima : AbstractBase
 
         return result;
     }
-}
+}

lib/averages/Vidya.cs

@@ -4,15 +4,43 @@ using System.Runtime.CompilerServices;
 
 namespace QuanTAlib;
 
+/// <summary>
+/// VIDYA: Variable Index Dynamic Average
+/// An adaptive moving average that adjusts its smoothing based on the ratio of
+/// short-term to long-term volatility. This allows the average to become more
+/// responsive during volatile periods and more stable during quiet periods.
+/// </summary>
+/// <remarks>
+/// The VIDYA calculation process:
+/// 1. Calculates standard deviation for short and long periods
+/// 2. Uses ratio of short/long volatility to determine smoothing
+/// 3. Applies variable smoothing factor to price data
+/// 4. Adapts automatically to changing market conditions
+///
+/// Key characteristics:
+/// - Adaptive smoothing based on volatility
+/// - More responsive during volatile periods
+/// - More stable during quiet periods
+/// - Uses standard deviation for volatility measurement
+/// - Combines short and long-term market analysis
+///
+/// Sources:
+///     Tushar Chande - "Beyond Technical Analysis"
+///     https://www.investopedia.com/terms/v/vidya.asp
+/// </remarks>
+
 public class Vidya : AbstractBase
 {
-
     private readonly int _longPeriod;
     private readonly double _alpha;
     private double _lastVIDYA, _p_lastVIDYA;
     private readonly CircularBuffer? _shortBuffer;
     private readonly CircularBuffer? _longBuffer;
 
+    /// <param name="shortPeriod">The number of periods for short-term volatility calculation.</param>
+    /// <param name="longPeriod">The number of periods for long-term volatility calculation (default is 4x shortPeriod).</param>
+    /// <param name="alpha">The alpha parameter controlling the base smoothing factor (default 0.2).</param>
+    /// <exception cref="ArgumentException">Thrown when shortPeriod is less than 1.</exception>
     public Vidya(int shortPeriod, int longPeriod = 0, double alpha = 0.2)
     {
         if (shortPeriod < 1)
@@ -28,6 +56,10 @@ public class Vidya : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="shortPeriod">The number of periods for short-term volatility calculation.</param>
+    /// <param name="longPeriod">The number of periods for long-term volatility calculation (default is 4x shortPeriod).</param>
+    /// <param name="alpha">The alpha parameter controlling the base smoothing factor (default 0.2).</param>
     public Vidya(object source, int shortPeriod, int longPeriod = 0, double alpha = 0.2)
         : this(shortPeriod, longPeriod, alpha)
     {
@@ -81,6 +113,11 @@ public class Vidya : AbstractBase
         return vidya;
     }
 
+    /// <summary>
+    /// Calculates the standard deviation of values in a circular buffer.
+    /// </summary>
+    /// <param name="buffer">The circular buffer containing the values.</param>
+    /// <returns>The standard deviation of the values in the buffer.</returns>
     [MethodImpl(MethodImplOptions.AggressiveInlining)]
     private static double CalculateStdDev(CircularBuffer buffer)
     {
@@ -88,4 +125,4 @@ public class Vidya : AbstractBase
         double sumSquaredDiff = buffer.Sum(x => Math.Pow(x - mean, 2));
         return Math.Sqrt(sumSquaredDiff / buffer.Count);
     }
-}
+}

lib/averages/Wma.cs

@@ -1,10 +1,39 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// WMA: Weighted Moving Average
+/// A moving average that assigns linearly decreasing weights to older data points.
+/// The most recent price has the highest weight, and each older price receives
+/// linearly less weight, creating a more responsive average than SMA.
+/// </summary>
+/// <remarks>
+/// The WMA calculation process:
+/// 1. Assigns weights linearly decreasing with age
+/// 2. Most recent price gets weight of period
+/// 3. Each older price gets decremented weight
+/// 4. Normalizes weights by sum of weights
+/// 5. Applies weights through convolution
+///
+/// Key characteristics:
+/// - Linear weight distribution
+/// - More responsive than SMA
+/// - Less lag than SMA
+/// - Emphasizes recent prices
+/// - Implemented using efficient convolution operations
+///
+/// Sources:
+///     https://www.investopedia.com/articles/technical/060401.asp
+///     https://stockcharts.com/school/doku.php?id=chart_school:technical_indicators:weighted_moving_average
+/// </remarks>
+
 public class Wma : AbstractBase
 {
     private readonly int _period;
     private readonly Convolution _convolution;
 
+    /// <param name="period">The number of data points used in the WMA calculation.</param>
+    /// <exception cref="ArgumentException">Thrown when period is less than 1.</exception>
     public Wma(int period)
     {
         if (period < 1)
@@ -18,12 +47,19 @@ public class Wma : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of data points used in the WMA calculation.</param>
     public Wma(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
+    /// <summary>
+    /// Generates the linearly weighted convolution kernel for the WMA calculation.
+    /// </summary>
+    /// <param name="period">The period for which to generate the kernel.</param>
+    /// <returns>An array of normalized linearly decreasing weights for the convolution operation.</returns>
     private static double[] GenerateWmaKernel(int period)
     {
         double[] kernel = new double[period];
@@ -64,4 +100,4 @@ public class Wma : AbstractBase
 
         return result;
     }
-}
+}

lib/averages/Zlema.cs

@@ -3,6 +3,31 @@ using System.Runtime.CompilerServices;
 
 namespace QuanTAlib
 {
+    /// <summary>
+    /// ZLEMA: Zero Lag Exponential Moving Average
+    /// A modified exponential moving average designed to reduce lag by incorporating
+    /// error correction based on predicted values. It estimates and removes lag by
+    /// extrapolating the trend using the difference between current and lagged prices.
+    /// </summary>
+    /// <remarks>
+    /// The ZLEMA calculation process:
+    /// 1. Calculates lag period as (period - 1) / 2
+    /// 2. Gets error correction term: 2 * price - lag_price
+    /// 3. Applies EMA to error-corrected price
+    /// 4. Results in reduced lag compared to standard EMA
+    ///
+    /// Key characteristics:
+    /// - Significantly reduced lag compared to EMA
+    /// - More responsive to price changes
+    /// - Uses error correction mechanism
+    /// - Maintains smoothness despite reduced lag
+    /// - Better trend following capabilities
+    ///
+    /// Sources:
+    ///     John Ehlers and Ric Way - "Zero Lag (Well, Almost)"
+    ///     Technical Analysis of Stocks and Commodities, 2010
+    /// </remarks>
+
     public class Zlema : AbstractBase
     {
         private readonly CircularBuffer _buffer;
@@ -10,6 +35,8 @@ namespace QuanTAlib
         private readonly Ema _ema;
         private double _lastZLEMA, _p_lastZLEMA;
 
+        /// <param name="period">The number of periods used in the ZLEMA calculation.</param>
+        /// <exception cref="ArgumentException">Thrown when period is less than 1.</exception>
         public Zlema(int period)
         {
             if (period < 1)
@@ -24,6 +51,8 @@ namespace QuanTAlib
             Init();
         }
 
+        /// <param name="source">The data source object that publishes updates.</param>
+        /// <param name="period">The number of periods used in the ZLEMA calculation.</param>
         public Zlema(object source, int period) : this(period)
         {
             var pubEvent = source.GetType().GetEvent("Pub");
@@ -59,8 +88,11 @@ namespace QuanTAlib
 
             _buffer.Add(Input.Value, Input.IsNew);
 
+            // Get lagged value and calculate error correction
             double lagValue = _buffer[Math.Max(0, _buffer.Count - 1 - _lag)];
             double errorCorrection = 2 * Input.Value - lagValue;
+
+            // Apply EMA to error-corrected value
             double zlema = _ema.Calc(new TValue(errorCorrection, Input.IsNew)).Value;
 
             _lastZLEMA = zlema;

lib/errors/Huber.cs

@@ -1,11 +1,44 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// Huber Loss: A robust error metric that combines squared error for small deviations
+/// and absolute error for large deviations. This provides a balance between the high
+/// sensitivity of MSE to outliers and the constant gradient of MAE.
+/// </summary>
+/// <remarks>
+/// The Huber Loss calculation process:
+/// 1. For each point, calculates error between actual and predicted values
+/// 2. If absolute error ≤ delta: uses squared error (like MSE)
+/// 3. If absolute error > delta: uses linear error (like MAE)
+/// 4. Averages the losses over the period
+///
+/// Key characteristics:
+/// - Combines benefits of MSE and MAE
+/// - Less sensitive to outliers than MSE
+/// - More sensitive to small errors than MAE
+/// - Differentiable at all points
+/// - Adjustable via delta parameter
+///
+/// Formula:
+/// For error e = actual - predicted:
+/// L(e) = 0.5 * e² if |e| ≤ δ
+/// L(e) = δ * (|e| - 0.5δ) if |e| > δ
+///
+/// Sources:
+///     Peter J. Huber - "Robust Estimation of a Location Parameter"
+///     https://projecteuclid.org/euclid.aoms/1177703732
+/// </remarks>
+
 public class Huber : AbstractBase
 {
     private readonly CircularBuffer _actualBuffer;
     private readonly CircularBuffer _predictedBuffer;
     private readonly double _delta;
 
+    /// <param name="period">The number of points over which to calculate the loss.</param>
+    /// <param name="delta">The threshold between squared and linear loss (default 1.0).</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1 or delta is not positive.</exception>
     public Huber(int period, double delta = 1.0)
     {
         if (period < 1)
@@ -24,6 +57,9 @@ public class Huber : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of points over which to calculate the loss.</param>
+    /// <param name="delta">The threshold between squared and linear loss (default 1.0).</param>
     public Huber(object source, int period, double delta = 1.0) : this(period, delta)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -53,6 +89,7 @@ public class Huber : AbstractBase
         double actual = Input.Value;
         _actualBuffer.Add(actual, Input.IsNew);
 
+        // If no predicted value provided, use mean of actual values
         double predicted = double.IsNaN(Input2.Value) ? _actualBuffer.Average() : Input2.Value;
         _predictedBuffer.Add(predicted, Input.IsNew);
 
@@ -70,10 +107,12 @@ public class Huber : AbstractBase
 
                 if (absError <= _delta)
                 {
+                    // Squared error for small deviations
                     sumLoss += 0.5 * error * error;
                 }
                 else
                 {
+                    // Linear error for large deviations
                     sumLoss += _delta * (absError - 0.5 * _delta);
                 }
             }
@@ -84,5 +123,4 @@ public class Huber : AbstractBase
         IsHot = _index >= WarmupPeriod;
         return huberloss;
     }
-
 }

lib/errors/Mae.cs

@@ -1,10 +1,40 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// MAE: Mean Absolute Error
+/// A straightforward error metric that measures the average magnitude of errors
+/// between predicted and actual values, without considering their direction.
+/// MAE treats all individual differences equally in the average.
+/// </summary>
+/// <remarks>
+/// The MAE calculation process:
+/// 1. Calculates absolute difference between each actual and predicted value
+/// 2. Sums all absolute differences
+/// 3. Divides by the number of observations
+///
+/// Key characteristics:
+/// - Linear scale (all differences weighted equally)
+/// - Robust to outliers compared to MSE
+/// - Easy to interpret (same units as data)
+/// - Constant gradient for optimization
+/// - Less sensitive to large errors than MSE
+///
+/// Formula:
+/// MAE = (1/n) * Σ|actual - predicted|
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Mean_absolute_error
+///     https://www.statisticshowto.com/absolute-error/
+/// </remarks>
+
 public class Mae : AbstractBase
 {
     private readonly CircularBuffer _actualBuffer;
     private readonly CircularBuffer _predictedBuffer;
 
+    /// <param name="period">The number of points over which to calculate the MAE.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Mae(int period)
     {
         if (period < 1)
@@ -18,6 +48,8 @@ public class Mae : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of points over which to calculate the MAE.</param>
     public Mae(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -47,6 +79,7 @@ public class Mae : AbstractBase
         double actual = Input.Value;
         _actualBuffer.Add(actual, Input.IsNew);
 
+        // If no predicted value provided, use mean of actual values
         double predicted = double.IsNaN(Input2.Value) ? _actualBuffer.Average() : Input2.Value;
         _predictedBuffer.Add(predicted, Input.IsNew);
 
@@ -68,5 +101,4 @@ public class Mae : AbstractBase
         IsHot = _index >= WarmupPeriod;
         return mae;
     }
-
 }

lib/errors/Mapd.cs

@@ -1,10 +1,42 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// MAPD: Mean Absolute Percentage Deviation
+/// A percentage-based error metric that measures the average absolute percentage
+/// difference between predicted and actual values. MAPD expresses accuracy as a
+/// percentage, making it scale-independent and easy to interpret.
+/// </summary>
+/// <remarks>
+/// The MAPD calculation process:
+/// 1. Calculates absolute percentage difference for each point
+/// 2. Sums all absolute percentage differences
+/// 3. Divides by the number of observations
+///
+/// Key characteristics:
+/// - Scale-independent (percentage-based)
+/// - Easy to interpret (0-100% range)
+/// - Useful for comparing different scales
+/// - Cannot handle zero actual values
+/// - Asymmetric (treats over/under predictions differently)
+///
+/// Formula:
+/// MAPD = (1/n) * Σ|((actual - predicted) / actual)|
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Mean_absolute_percentage_error
+///     https://www.statisticshowto.com/mean-absolute-percentage-error-mape/
+///
+/// Note: Also known as MAPE (Mean Absolute Percentage Error) in some contexts
+/// </remarks>
+
 public class Mapd : AbstractBase
 {
     private readonly CircularBuffer _actualBuffer;
     private readonly CircularBuffer _predictedBuffer;
 
+    /// <param name="period">The number of points over which to calculate the MAPD.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Mapd(int period)
     {
         if (period < 1)
@@ -18,6 +50,8 @@ public class Mapd : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of points over which to calculate the MAPD.</param>
     public Mapd(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -47,6 +81,7 @@ public class Mapd : AbstractBase
         double actual = Input.Value;
         _actualBuffer.Add(actual, Input.IsNew);
 
+        // If no predicted value provided, use mean of actual values
         double predicted = double.IsNaN(Input2.Value) ? _actualBuffer.Average() : Input2.Value;
         _predictedBuffer.Add(predicted, Input.IsNew);
 
@@ -71,5 +106,4 @@ public class Mapd : AbstractBase
         IsHot = _index >= WarmupPeriod;
         return mapd;
     }
-
 }

lib/errors/Mape.cs

@@ -1,10 +1,42 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// MAPE: Mean Absolute Percentage Error
+/// A percentage-based error metric that measures the average absolute percentage
+/// difference between predicted and actual values. MAPE expresses accuracy as a
+/// percentage, making it scale-independent and easy to interpret.
+/// </summary>
+/// <remarks>
+/// The MAPE calculation process:
+/// 1. Calculates absolute percentage error for each point
+/// 2. Sums all absolute percentage errors
+/// 3. Divides by the number of observations
+///
+/// Key characteristics:
+/// - Scale-independent (percentage-based)
+/// - Easy to interpret (0-100% range)
+/// - Useful for comparing different scales
+/// - Cannot handle zero actual values
+/// - Asymmetric (treats over/under predictions differently)
+///
+/// Formula:
+/// MAPE = (1/n) * Σ|((actual - predicted) / actual)| * 100%
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Mean_absolute_percentage_error
+///     https://www.statisticshowto.com/mean-absolute-percentage-error-mape/
+///
+/// Note: Also known as MAPD (Mean Absolute Percentage Deviation) in some contexts
+/// </remarks>
+
 public class Mape : AbstractBase
 {
     private readonly CircularBuffer _actualBuffer;
     private readonly CircularBuffer _predictedBuffer;
 
+    /// <param name="period">The number of points over which to calculate the MAPE.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Mape(int period)
     {
         if (period < 1)
@@ -18,6 +50,8 @@ public class Mape : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of points over which to calculate the MAPE.</param>
     public Mape(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -47,6 +81,7 @@ public class Mape : AbstractBase
         double actual = Input.Value;
         _actualBuffer.Add(actual, Input.IsNew);
 
+        // If no predicted value provided, use mean of actual values
         double predicted = double.IsNaN(Input2.Value) ? _actualBuffer.Average() : Input2.Value;
         _predictedBuffer.Add(predicted, Input.IsNew);
 

lib/errors/Mase.cs

@@ -1,20 +1,41 @@
 using System;
-
 namespace QuanTAlib;
 
 /// <summary>
-/// Represents the Mean Absolute Scaled Error (MASE) calculation.
+/// MASE: Mean Absolute Scaled Error
+/// A scale-free error metric that compares the mean absolute error of the forecast
+/// with the mean absolute error of the naive forecast. MASE is particularly useful
+/// for comparing forecast accuracy across different datasets.
 /// </summary>
+/// <remarks>
+/// The MASE calculation process:
+/// 1. Calculates mean absolute error of the forecast
+/// 2. Calculates mean absolute error of naive forecast (using previous value)
+/// 3. Divides forecast error by naive forecast error
+///
+/// Key characteristics:
+/// - Scale-free (independent of data scale)
+/// - Handles zero values unlike percentage errors
+/// - Symmetric (treats over/under predictions equally)
+/// - Easy interpretation (MASE < 1 means better than naive forecast)
+/// - Robust to outliers
+///
+/// Formula:
+/// MASE = MAE(forecast) / MAE(naive_forecast)
+/// where naive_forecast[t] = actual[t-1]
+///
+/// Sources:
+///     Rob J. Hyndman - "Another Look at Forecast-Accuracy Metrics for Intermittent Demand"
+///     https://robjhyndman.com/papers/another-look-at-measures-of-forecast-accuracy/
+/// </remarks>
+
 public class Mase : AbstractBase
 {
     private readonly CircularBuffer _actualBuffer;
     private readonly CircularBuffer _predictedBuffer;
     private readonly CircularBuffer _naiveBuffer;
 
-    /// <summary>
+    /// <param name="period">The number of points over which to calculate the MASE.</param>
-    /// Initializes a new instance of the Mase class.
-    /// </summary>
-    /// <param name="period">The period for MASE calculation.</param>
     /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Mase(int period)
     {
@@ -30,20 +51,14 @@ public class Mase : AbstractBase
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Mase class with a source object.
+    /// <param name="period">The number of points over which to calculate the MASE.</param>
-    /// </summary>
-    /// <param name="source">The source object for event subscription.</param>
-    /// <param name="period">The period for MASE calculation.</param>
     public Mase(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Initializes the Mase instance.
-    /// </summary>
     public override void Init()
     {
         base.Init();
@@ -52,10 +67,6 @@ public class Mase : AbstractBase
         _naiveBuffer.Clear();
     }
 
-    /// <summary>
-    /// Manages the state of the Mase instance.
-    /// </summary>
-    /// <param name="isNew">Indicates if the input is new.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -65,10 +76,6 @@ public class Mase : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the MASE calculation.
-    /// </summary>
-    /// <returns>The calculated MASE value.</returns>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
@@ -76,9 +83,11 @@ public class Mase : AbstractBase
         double actual = Input.Value;
         _actualBuffer.Add(actual, Input.IsNew);
 
+        // If no predicted value provided, use mean of actual values
         double predicted = double.IsNaN(Input2.Value) ? _actualBuffer.Average() : Input2.Value;
         _predictedBuffer.Add(predicted, Input.IsNew);
 
+        // Naive forecast uses previous actual value
         if (_actualBuffer.Count > 1)
         {
             _naiveBuffer.Add(_actualBuffer.GetSpan()[^2], Input.IsNew);
@@ -90,6 +99,10 @@ public class Mase : AbstractBase
         return mase;
     }
 
+    /// <summary>
+    /// Calculates the MASE value by comparing forecast error to naive forecast error.
+    /// </summary>
+    /// <returns>The calculated MASE value, or positive infinity if naive error is zero.</returns>
     private double CalculateMase()
     {
         if (_actualBuffer.Count <= 1) return 0;
@@ -104,6 +117,9 @@ public class Mase : AbstractBase
         return _naiveForecastError != 0 ? (sumAbsoluteError / _actualBuffer.Count) / _naiveForecastError : double.PositiveInfinity;
     }
 
+    /// <summary>
+    /// Calculates the sum of absolute errors between actual and predicted values.
+    /// </summary>
     private static double CalculateSumAbsoluteError(ReadOnlySpan<double> actualValues, ReadOnlySpan<double> predictedValues)
     {
         double sum = 0;
@@ -114,6 +130,9 @@ public class Mase : AbstractBase
         return sum;
     }
 
+    /// <summary>
+    /// Calculates the naive forecast error using the previous value as prediction.
+    /// </summary>
     private static double CalculateNaiveForecastError(ReadOnlySpan<double> actualValues, ReadOnlySpan<double> naiveValues)
     {
         double sum = 0;

lib/errors/Mda.cs

@@ -1,10 +1,42 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// MDA: Mean Directional Accuracy
+/// A metric that measures how well a forecast predicts the direction of change
+/// rather than the magnitude. MDA focuses on whether the predicted movement
+/// (up or down) matches the actual movement.
+/// </summary>
+/// <remarks>
+/// The MDA calculation process:
+/// 1. For each consecutive pair of points:
+///    - Calculate direction of actual change
+///    - Calculate direction of predicted change
+///    - Compare directions (match = 1, mismatch = 0)
+/// 2. Average the directional matches
+///
+/// Key characteristics:
+/// - Scale-independent (only considers direction)
+/// - Range is 0 to 1 (easy interpretation)
+/// - Useful for trend prediction evaluation
+/// - Ignores magnitude of changes
+/// - Equal weight to all directional changes
+///
+/// Formula:
+/// MDA = (1/(n-1)) * Σ(sign(actual[t] - actual[t-1]) == sign(pred[t] - pred[t-1]))
+///
+/// Sources:
+///     https://www.sciencedirect.com/science/article/abs/pii/S0169207016000121
+///     "Evaluating Forecasting Performance" - International Journal of Forecasting
+/// </remarks>
+
 public class Mda : AbstractBase
 {
     private readonly CircularBuffer _actualBuffer;
     private readonly CircularBuffer _predictedBuffer;
 
+    /// <param name="period">The number of points over which to calculate the MDA.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Mda(int period)
     {
         if (period < 1)
@@ -18,6 +50,8 @@ public class Mda : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of points over which to calculate the MDA.</param>
     public Mda(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -47,6 +81,7 @@ public class Mda : AbstractBase
         double actual = Input.Value;
         _actualBuffer.Add(actual, Input.IsNew);
 
+        // If no predicted value provided, use mean of actual values
         double predicted = double.IsNaN(Input2.Value) ? _actualBuffer.Average() : Input2.Value;
         _predictedBuffer.Add(predicted, Input.IsNew);
 

lib/errors/Me.cs

@@ -1,10 +1,42 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// ME: Mean Error
+/// A basic error metric that measures the average difference between actual and
+/// predicted values. Unlike MAE, it allows positive and negative errors to cancel
+/// out, making it useful for detecting systematic bias in predictions.
+/// </summary>
+/// <remarks>
+/// The ME calculation process:
+/// 1. Calculates error (actual - predicted) for each point
+/// 2. Sums all errors (allowing cancellation)
+/// 3. Divides by the number of observations
+///
+/// Key characteristics:
+/// - Same units as input data
+/// - Can detect systematic bias
+/// - Positive ME indicates underprediction
+/// - Negative ME indicates overprediction
+/// - Errors can cancel out
+///
+/// Formula:
+/// ME = (1/n) * Σ(actual - predicted)
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Mean_signed_difference
+///     https://www.statisticshowto.com/mean-error/
+///
+/// Note: Also known as Mean Bias Error (MBE) or Mean Signed Difference (MSD)
+/// </remarks>
+
 public class Me : AbstractBase
 {
     private readonly CircularBuffer _actualBuffer;
     private readonly CircularBuffer _predictedBuffer;
 
+    /// <param name="period">The number of points over which to calculate the ME.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Me(int period)
     {
         if (period < 1)
@@ -18,6 +50,8 @@ public class Me : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of points over which to calculate the ME.</param>
     public Me(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -47,6 +81,7 @@ public class Me : AbstractBase
         double actual = Input.Value;
         _actualBuffer.Add(actual, Input.IsNew);
 
+        // If no predicted value provided, use mean of actual values
         double predicted = double.IsNaN(Input2.Value) ? _actualBuffer.Average() : Input2.Value;
         _predictedBuffer.Add(predicted, Input.IsNew);
 

lib/errors/Mpe.cs

@@ -1,10 +1,43 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// MPE: Mean Percentage Error
+/// A percentage-based error metric that measures the average percentage difference
+/// between actual and predicted values. Like ME, it allows positive and negative
+/// errors to cancel out, but expresses the bias in percentage terms.
+/// </summary>
+/// <remarks>
+/// The MPE calculation process:
+/// 1. Calculates percentage error for each point
+/// 2. Sums all percentage errors (allowing cancellation)
+/// 3. Divides by the number of observations
+///
+/// Key characteristics:
+/// - Scale-independent (percentage-based)
+/// - Can detect systematic bias
+/// - Positive MPE indicates underprediction
+/// - Negative MPE indicates overprediction
+/// - Cannot handle zero actual values
+/// - Errors can cancel out
+///
+/// Formula:
+/// MPE = (1/n) * Σ((actual - predicted) / actual) * 100%
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Mean_percentage_error
+///     https://www.statisticshowto.com/mean-percentage-error/
+///
+/// Note: Similar to MAPE but allows error cancellation
+/// </remarks>
+
 public class Mpe : AbstractBase
 {
     private readonly CircularBuffer _actualBuffer;
     private readonly CircularBuffer _predictedBuffer;
 
+    /// <param name="period">The number of points over which to calculate the MPE.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Mpe(int period)
     {
         if (period < 1)
@@ -18,6 +51,8 @@ public class Mpe : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of points over which to calculate the MPE.</param>
     public Mpe(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -47,6 +82,7 @@ public class Mpe : AbstractBase
         double actual = Input.Value;
         _actualBuffer.Add(actual, Input.IsNew);
 
+        // If no predicted value provided, use mean of actual values
         double predicted = double.IsNaN(Input2.Value) ? _actualBuffer.Average() : Input2.Value;
         _predictedBuffer.Add(predicted, Input.IsNew);
 

lib/errors/Mse.cs

@@ -1,25 +1,42 @@
+using System;
 namespace QuanTAlib;
 
 /// <summary>
-/// Represents a Mean Squared Error calculator that measures the average of the squares
+/// MSE: Mean Squared Error
-/// of the differences between actual values and predicted values.
+/// A fundamental error metric that measures the average of squared differences
+/// between predicted and actual values. MSE heavily penalizes large errors due
+/// to the squaring operation.
 /// </summary>
 /// <remarks>
-/// The Mse class calculates the Mean Squared Error using a circular buffer
+/// The MSE calculation process:
-/// to efficiently manage the data points within the specified period.
+/// 1. Calculates error (actual - predicted) for each point
+/// 2. Squares each error value
+/// 3. Averages the squared errors
+///
+/// Key characteristics:
+/// - Heavily penalizes large errors
+/// - Always non-negative
+/// - Units are squared (harder to interpret)
+/// - More sensitive to outliers than MAE
+/// - Differentiable (useful for optimization)
+///
+/// Formula:
+/// MSE = (1/n) * Σ(actual - predicted)²
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Mean_squared_error
+///     https://www.statisticshowto.com/probability-and-statistics/statistics-definitions/mean-squared-error/
+///
+/// Note: Often used in optimization due to its mathematical properties
 /// </remarks>
+
 public class Mse : AbstractBase
 {
     private readonly CircularBuffer _actualBuffer;
     private readonly CircularBuffer _predictedBuffer;
 
-    /// <summary>
+    /// <param name="period">The number of points over which to calculate the MSE.</param>
-    /// Initializes a new instance of the Mse class with the specified period.
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
-    /// </summary>
-    /// <param name="period">The period over which to calculate the Mean Squared Error.</param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when period is less than 1.
-    /// </exception>
     public Mse(int period)
     {
         if (period < 1)
@@ -33,20 +50,14 @@ public class Mse : AbstractBase
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Mse class with the specified source and period.
+    /// <param name="period">The number of points over which to calculate the MSE.</param>
-    /// </summary>
-    /// <param name="source">The source object to subscribe to for value updates.</param>
-    /// <param name="period">The period over which to calculate the Mean Squared Error.</param>
     public Mse(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Initializes the Mse instance by clearing the buffers.
-    /// </summary>
     public override void Init()
     {
         base.Init();
@@ -54,10 +65,6 @@ public class Mse : AbstractBase
         _predictedBuffer.Clear();
     }
 
-    /// <summary>
-    /// Manages the state of the Mse instance based on whether new values are being processed.
-    /// </summary>
-    /// <param name="isNew">Indicates whether the current inputs are new values.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -67,17 +74,6 @@ public class Mse : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the Mean Squared Error calculation for the current period.
-    /// </summary>
-    /// <returns>
-    /// The calculated Mean Squared Error value for the current period.
-    /// </returns>
-    /// <remarks>
-    /// This method calculates the Mean Squared Error using the formula:
-    /// MSE = sum((actual - predicted)^2) / n
-    /// where actual is each actual value, predicted is each predicted value, and n is the number of values.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
@@ -85,6 +81,7 @@ public class Mse : AbstractBase
         double actual = Input.Value;
         _actualBuffer.Add(actual, Input.IsNew);
 
+        // If no predicted value provided, use mean of actual values
         double predicted = double.IsNaN(Input2.Value) ? _actualBuffer.Average() : Input2.Value;
         _predictedBuffer.Add(predicted, Input.IsNew);
 

lib/errors/Msle.cs

@@ -1,10 +1,43 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// MSLE: Mean Squared Logarithmic Error
+/// A variation of MSE that operates on log-transformed values. MSLE is particularly
+/// useful for data with exponential growth or when errors in larger values should
+/// not be penalized more heavily than errors in smaller values.
+/// </summary>
+/// <remarks>
+/// The MSLE calculation process:
+/// 1. Adds 1 to both actual and predicted values (to handle zeros)
+/// 2. Takes natural log of both values
+/// 3. Calculates squared difference of logs
+/// 4. Averages the squared differences
+///
+/// Key characteristics:
+/// - Scale-independent due to log transformation
+/// - Penalizes underestimates more than overestimates
+/// - Handles exponential trends well
+/// - More sensitive to relative differences
+/// - Can handle zero values (adds 1 before log)
+///
+/// Formula:
+/// MSLE = (1/n) * Σ(log(actual + 1) - log(predicted + 1))²
+///
+/// Sources:
+///     https://scikit-learn.org/stable/modules/model_evaluation.html#mean-squared-logarithmic-error
+///     https://medium.com/analytics-vidhya/root-mean-square-log-error-rmse-vs-rmlse-935c6cc1802a
+///
+/// Note: Often used in cases where target values follow exponential growth
+/// </remarks>
+
 public class Msle : AbstractBase
 {
     private readonly CircularBuffer _actualBuffer;
     private readonly CircularBuffer _predictedBuffer;
 
+    /// <param name="period">The number of points over which to calculate the MSLE.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Msle(int period)
     {
         if (period < 1)
@@ -18,6 +51,8 @@ public class Msle : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of points over which to calculate the MSLE.</param>
     public Msle(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -47,6 +82,7 @@ public class Msle : AbstractBase
         double actual = Input.Value;
         _actualBuffer.Add(actual, Input.IsNew);
 
+        // If no predicted value provided, use mean of actual values
         double predicted = double.IsNaN(Input2.Value) ? _actualBuffer.Average() : Input2.Value;
         _predictedBuffer.Add(predicted, Input.IsNew);
 

lib/errors/Rae.cs

@@ -1,10 +1,42 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// RAE: Relative Absolute Error
+/// A normalized error metric that compares the total absolute error to the total
+/// magnitude of actual values. RAE provides a scale-independent measure of error
+/// that is robust to the overall magnitude of the data.
+/// </summary>
+/// <remarks>
+/// The RAE calculation process:
+/// 1. Calculates sum of absolute errors
+/// 2. Calculates sum of absolute actual values
+/// 3. Divides total error by total actual magnitude
+///
+/// Key characteristics:
+/// - Scale-independent (normalized by actual values)
+/// - Range typically between 0 and 1
+/// - Easy to interpret (0 is perfect, 1 means error equals data magnitude)
+/// - Robust to data scale changes
+/// - Less sensitive to outliers than squared errors
+///
+/// Formula:
+/// RAE = Σ|actual - predicted| / Σ|actual|
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Relative_absolute_error
+///     https://www.sciencedirect.com/topics/engineering/relative-absolute-error
+///
+/// Note: Values greater than 1 indicate predictions worse than using zero
+/// </remarks>
+
 public class Rae : AbstractBase
 {
     private readonly CircularBuffer _actualBuffer;
     private readonly CircularBuffer _predictedBuffer;
 
+    /// <param name="period">The number of points over which to calculate the RAE.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Rae(int period)
     {
         if (period < 1)
@@ -18,6 +50,8 @@ public class Rae : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of points over which to calculate the RAE.</param>
     public Rae(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -47,6 +81,7 @@ public class Rae : AbstractBase
         double actual = Input.Value;
         _actualBuffer.Add(actual, Input.IsNew);
 
+        // If no predicted value provided, use mean of actual values
         double predicted = double.IsNaN(Input2.Value) ? _actualBuffer.Average() : Input2.Value;
         _predictedBuffer.Add(predicted, Input.IsNew);
 

lib/errors/Rmse.cs

@@ -1,10 +1,43 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// RMSE: Root Mean Square Error
+/// A widely used error metric that measures the square root of the average squared
+/// differences between predicted and actual values. RMSE provides error measurements
+/// in the same units as the original data.
+/// </summary>
+/// <remarks>
+/// The RMSE calculation process:
+/// 1. Calculates error (actual - predicted) for each point
+/// 2. Squares each error value
+/// 3. Averages the squared errors
+/// 4. Takes the square root of the average
+///
+/// Key characteristics:
+/// - Same units as input data (unlike MSE)
+/// - Penalizes large errors more than small ones
+/// - Always non-negative
+/// - More interpretable than MSE
+/// - Commonly used in regression problems
+///
+/// Formula:
+/// RMSE = √((1/n) * Σ(actual - predicted)²)
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Root-mean-square_deviation
+///     https://www.statisticshowto.com/probability-and-statistics/regression-analysis/rmse-root-mean-square-error/
+///
+/// Note: Square root of MSE, making it more interpretable in original units
+/// </remarks>
+
 public class Rmse : AbstractBase
 {
     private readonly CircularBuffer _actualBuffer;
     private readonly CircularBuffer _predictedBuffer;
 
+    /// <param name="period">The number of points over which to calculate the RMSE.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Rmse(int period)
     {
         if (period < 1)
@@ -18,6 +51,8 @@ public class Rmse : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of points over which to calculate the RMSE.</param>
     public Rmse(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -47,6 +82,7 @@ public class Rmse : AbstractBase
         double actual = Input.Value;
         _actualBuffer.Add(actual, Input.IsNew);
 
+        // If no predicted value provided, use mean of actual values
         double predicted = double.IsNaN(Input2.Value) ? _actualBuffer.Average() : Input2.Value;
         _predictedBuffer.Add(predicted, Input.IsNew);
 

lib/errors/Rmsle.cs

@@ -1,10 +1,44 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// RMSLE: Root Mean Square Logarithmic Error
+/// A variation of RMSE that operates on log-transformed values. RMSLE is particularly
+/// useful for data with exponential growth or when relative errors in larger values
+/// should be treated similarly to relative errors in smaller values.
+/// </summary>
+/// <remarks>
+/// The RMSLE calculation process:
+/// 1. Adds 1 to both actual and predicted values (to handle zeros)
+/// 2. Takes natural log of both values
+/// 3. Calculates squared difference of logs
+/// 4. Averages the squared differences
+/// 5. Takes the square root
+///
+/// Key characteristics:
+/// - Scale-independent due to log transformation
+/// - Penalizes underestimates more than overestimates
+/// - Handles exponential trends well
+/// - More sensitive to relative differences
+/// - Can handle zero values (adds 1 before log)
+///
+/// Formula:
+/// RMSLE = √((1/n) * Σ(log(actual + 1) - log(predicted + 1))²)
+///
+/// Sources:
+///     https://www.kaggle.com/wiki/RootMeanSquaredLogarithmicError
+///     https://medium.com/analytics-vidhya/root-mean-square-log-error-rmse-vs-rmlse-935c6cc1802a
+///
+/// Note: Square root of MSLE, useful for data with exponential growth
+/// </remarks>
+
 public class Rmsle : AbstractBase
 {
     private readonly CircularBuffer _actualBuffer;
     private readonly CircularBuffer _predictedBuffer;
 
+    /// <param name="period">The number of points over which to calculate the RMSLE.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Rmsle(int period)
     {
         if (period < 1)
@@ -18,6 +52,8 @@ public class Rmsle : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of points over which to calculate the RMSLE.</param>
     public Rmsle(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -47,6 +83,7 @@ public class Rmsle : AbstractBase
         double actual = Input.Value;
         _actualBuffer.Add(actual, Input.IsNew);
 
+        // If no predicted value provided, use mean of actual values
         double predicted = double.IsNaN(Input2.Value) ? _actualBuffer.Average() : Input2.Value;
         _predictedBuffer.Add(predicted, Input.IsNew);
 

lib/errors/Rse.cs

@@ -1,10 +1,43 @@
+using System;
+using System.Linq;
 namespace QuanTAlib;
 
+/// <summary>
+/// RSE: Relative Squared Error
+/// A normalized error metric that compares the squared error of predictions to
+/// the variance of actual values. RSE provides a scale-independent measure of
+/// prediction accuracy relative to the inherent variability in the data.
+/// </summary>
+/// <remarks>
+/// The RSE calculation process:
+/// 1. Calculates sum of squared prediction errors
+/// 2. Calculates sum of squared deviations from mean (variance)
+/// 3. Divides squared error by variance and takes square root
+///
+/// Key characteristics:
+/// - Scale-independent (normalized by data variance)
+/// - Range typically between 0 and 1
+/// - Easy interpretation relative to data variance
+/// - Penalizes large errors more than small ones
+/// - Accounts for data variability
+///
+/// Formula:
+/// RSE = √(Σ(actual - predicted)² / Σ(actual - mean(actual))²)
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Relative_squared_error
+///     https://www.sciencedirect.com/topics/engineering/relative-squared-error
+///
+/// Note: Values less than 1 indicate predictions better than using mean
+/// </remarks>
+
 public class Rse : AbstractBase
 {
     private readonly CircularBuffer _actualBuffer;
     private readonly CircularBuffer _predictedBuffer;
 
+    /// <param name="period">The number of points over which to calculate the RSE.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Rse(int period)
     {
         if (period < 1)
@@ -18,6 +51,8 @@ public class Rse : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of points over which to calculate the RSE.</param>
     public Rse(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -47,6 +82,7 @@ public class Rse : AbstractBase
         double actual = Input.Value;
         _actualBuffer.Add(actual, Input.IsNew);
 
+        // If no predicted value provided, use mean of actual values
         double predicted = double.IsNaN(Input2.Value) ? _actualBuffer.Average() : Input2.Value;
         _predictedBuffer.Add(predicted, Input.IsNew);
 

lib/errors/Rsquared.cs

@@ -1,10 +1,43 @@
+using System;
+using System.Linq;
 namespace QuanTAlib;
 
+/// <summary>
+/// R-squared: Coefficient of Determination
+/// A statistical measure that represents the proportion of variance in the dependent
+/// variable that is predictable from the independent variable. R-squared provides
+/// a measure of how well the predictions approximate the actual data.
+/// </summary>
+/// <remarks>
+/// The R-squared calculation process:
+/// 1. Calculates total sum of squares (variance from mean)
+/// 2. Calculates residual sum of squares (prediction errors)
+/// 3. Computes 1 - (residual SS / total SS)
+///
+/// Key characteristics:
+/// - Range is typically 0 to 1
+/// - 1 indicates perfect prediction
+/// - 0 indicates prediction no better than mean
+/// - Scale-independent
+/// - Widely used in regression analysis
+///
+/// Formula:
+/// R² = 1 - (Σ(actual - predicted)² / Σ(actual - mean(actual))²)
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Coefficient_of_determination
+///     https://www.statisticshowto.com/probability-and-statistics/coefficient-of-determination-r-squared/
+///
+/// Note: Can be negative if predictions are worse than using the mean
+/// </remarks>
+
 public class Rsquared : AbstractBase
 {
     private readonly CircularBuffer _actualBuffer;
     private readonly CircularBuffer _predictedBuffer;
 
+    /// <param name="period">The number of points over which to calculate the R-squared value.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Rsquared(int period)
     {
         if (period < 1)
@@ -18,6 +51,8 @@ public class Rsquared : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of points over which to calculate the R-squared value.</param>
     public Rsquared(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -47,6 +82,7 @@ public class Rsquared : AbstractBase
         double actual = Input.Value;
         _actualBuffer.Add(actual, Input.IsNew);
 
+        // If no predicted value provided, use mean of actual values
         double predicted = double.IsNaN(Input2.Value) ? _actualBuffer.Average() : Input2.Value;
         _predictedBuffer.Add(predicted, Input.IsNew);
 

lib/errors/Smape.cs

@@ -1,10 +1,42 @@
+using System;
 namespace QuanTAlib;
 
+/// <summary>
+/// SMAPE: Symmetric Mean Absolute Percentage Error
+/// A variation of MAPE that treats positive and negative errors symmetrically.
+/// SMAPE uses the average of actual and predicted values in the denominator,
+/// making it more robust than MAPE for values close to zero.
+/// </summary>
+/// <remarks>
+/// The SMAPE calculation process:
+/// 1. Calculates absolute difference between actual and predicted
+/// 2. Divides by sum of absolute actual and predicted values
+/// 3. Averages these ratios and multiplies by 200%
+///
+/// Key characteristics:
+/// - Symmetric treatment of errors
+/// - Range is 0% to 200%
+/// - More robust than MAPE near zero
+/// - Scale-independent
+/// - Handles both positive and negative values
+///
+/// Formula:
+/// SMAPE = (200/n) * Σ|actual - predicted| / (|actual| + |predicted|)
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Symmetric_mean_absolute_percentage_error
+///     https://www.sciencedirect.com/science/article/abs/pii/0169207085900059
+///
+/// Note: More stable than MAPE when actual values are close to zero
+/// </remarks>
+
 public class Smape : AbstractBase
 {
     private readonly CircularBuffer _actualBuffer;
     private readonly CircularBuffer _predictedBuffer;
 
+    /// <param name="period">The number of points over which to calculate the SMAPE.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Smape(int period)
     {
         if (period < 1)
@@ -18,6 +50,8 @@ public class Smape : AbstractBase
         Init();
     }
 
+    /// <param name="source">The data source object that publishes updates.</param>
+    /// <param name="period">The number of points over which to calculate the SMAPE.</param>
     public Smape(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -47,6 +81,7 @@ public class Smape : AbstractBase
         double actual = Input.Value;
         _actualBuffer.Add(actual, Input.IsNew);
 
+        // If no predicted value provided, use mean of actual values
         double predicted = double.IsNaN(Input2.Value) ? _actualBuffer.Average() : Input2.Value;
         _predictedBuffer.Add(predicted, Input.IsNew);
 

lib/oscillators/Cmo.cs

@@ -1,14 +1,47 @@
+using System;
 namespace QuanTAlib;
 
 /// <summary>
-/// Represents a Chande Momentum Oscillator (CMO) calculator.
+/// CMO: Chande Momentum Oscillator
+/// A technical momentum indicator that measures the difference between upward and
+/// downward momentum. CMO helps identify overbought and oversold conditions, as
+/// well as trend strength and potential reversals.
 /// </summary>
+/// <remarks>
+/// The CMO calculation process:
+/// 1. Calculates price differences from previous period
+/// 2. Separates positive (upward) and negative (downward) movements
+/// 3. Sums upward and downward movements over period
+/// 4. Calculates: 100 * ((sumUp - sumDown) / (sumUp + sumDown))
+///
+/// Key characteristics:
+/// - Oscillates between -100 and +100
+/// - Values above +50 indicate overbought
+/// - Values below -50 indicate oversold
+/// - Zero line crossovers signal trend changes
+/// - High absolute values suggest strong trends
+///
+/// Formula:
+/// CMO = 100 * ((ΣUp - ΣDown) / (ΣUp + ΣDown))
+/// where:
+/// Up = positive price changes
+/// Down = absolute negative price changes
+///
+/// Sources:
+///     Tushar Chande - "The New Technical Trader" (1994)
+///     https://www.investopedia.com/terms/c/chandemomentumoscillator.asp
+///
+/// Note: Similar to RSI but with different scaling and calculation method
+/// </remarks>
+
 public class Cmo : AbstractBase
 {
     private readonly CircularBuffer _sumH;
     private readonly CircularBuffer _sumL;
     private double _prevValue, _p_prevValue;
 
+    /// <param name="period">The number of periods used in the CMO calculation.</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Cmo(int period)
     {
         if (period < 1)
@@ -16,15 +49,12 @@ public class Cmo : AbstractBase
         _sumH = new(period);
         _sumL = new(period);
 
-        WarmupPeriod = period+1;
+        WarmupPeriod = period + 1;
         Name = $"CMO({period})";
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the CMO class with a data source.
+    /// <param name="period">The number of periods used in the CMO calculation.</param>
-    /// </summary>
-    /// <param name="source">The source object that publishes data.</param>
-    /// <param name="period">The number of data points to consider.</param>
     public Cmo(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -53,9 +83,11 @@ public class Cmo : AbstractBase
             _prevValue = Input.Value;
         }
 
+        // Calculate price difference
         double diff = Input.Value - _prevValue;
         _prevValue = Input.Value;
 
+        // Separate upward and downward movements
         if (diff > 0)
         {
             _sumH.Add(diff, Input.IsNew);
@@ -67,11 +99,12 @@ public class Cmo : AbstractBase
             _sumL.Add(-diff, Input.IsNew);
         }
 
-        // Calculate sums for the specified period only
+        // Calculate sums for the specified period
         double sumH = _sumH.Sum();
         double sumL = _sumL.Sum();
         double divisor = sumH + sumL;
 
+        // Calculate CMO value
         return (Math.Abs(divisor) > double.Epsilon) ?
             100.0 * ((sumH - sumL) / divisor) :
             0.0;

lib/oscillators/Rsi.cs

@@ -1,16 +1,48 @@
 using System;
-
 namespace QuanTAlib;
 
 /// <summary>
-/// Represents a Relative Strength Index (RSI) calculator following Wilder's algorithm.
+/// RSI: Relative Strength Index
+/// A momentum oscillator that measures the speed and magnitude of recent price
+/// changes to evaluate overbought or oversold conditions. RSI compares the
+/// magnitude of recent gains to recent losses.
 /// </summary>
+/// <remarks>
+/// The RSI calculation process:
+/// 1. Calculates price changes from previous period
+/// 2. Separates gains and losses
+/// 3. Calculates average gain and loss using Wilder's smoothing
+/// 4. Computes relative strength (avg gain / avg loss)
+/// 5. Normalizes to 0-100 scale: 100 - (100 / (1 + RS))
+///
+/// Key characteristics:
+/// - Oscillates between 0 and 100
+/// - Traditional overbought level at 70
+/// - Traditional oversold level at 30
+/// - Centerline (50) crossovers signal trend changes
+/// - Divergences suggest potential reversals
+///
+/// Formula:
+/// RSI = 100 - (100 / (1 + RS))
+/// where:
+/// RS = Average Gain / Average Loss
+/// Average Gain/Loss = Wilder's smoothed average over period
+///
+/// Sources:
+///     J. Welles Wilder Jr. - "New Concepts in Technical Trading Systems" (1978)
+///     https://www.investopedia.com/terms/r/rsi.asp
+///
+/// Note: Default period of 14 was recommended by Wilder
+/// </remarks>
+
 public class Rsi : AbstractBase
 {
     private readonly Rma _avgGain;
     private readonly Rma _avgLoss;
     private double _prevValue, _p_prevValue;
 
+    /// <param name="period">The number of periods used in the RSI calculation (default 14).</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Rsi(int period = 14)
     {
         if (period < 1)
@@ -22,11 +54,8 @@ public class Rsi : AbstractBase
         Name = $"RSI({period})";
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the RSI class with a data source.
+    /// <param name="period">The number of periods used in the RSI calculation.</param>
-    /// </summary>
-    /// <param name="source">The source object that publishes data.</param>
-    /// <param name="period">The number of data points to consider.</param>
     public Rsi(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -55,14 +84,17 @@ public class Rsi : AbstractBase
             _prevValue = Input.Value;
         }
 
+        // Calculate price change and separate gains/losses
         double change = Input.Value - _prevValue;
         double gain = Math.Max(change, 0);
         double loss = Math.Max(-change, 0);
         _prevValue = Input.Value;
 
+        // Calculate smoothed averages using Wilder's method
         _avgGain.Calc(gain, IsNew: Input.IsNew);
         _avgLoss.Calc(loss, IsNew: Input.IsNew);
 
+        // Calculate RSI
         double rsi = (_avgLoss.Value > 0) ? 100 - (100 / (1 + (_avgGain.Value / _avgLoss.Value))) : 100;
 
         return rsi;

lib/oscillators/Rsx.cs

@@ -1,10 +1,39 @@
 using System;
-
 namespace QuanTAlib;
 
 /// <summary>
-/// Jurik's superior replacement for RSI
+/// RSX: Relative Strength eXtended
+/// An enhanced version of RSI developed by Mark Jurik that applies JMA (Jurik Moving
+/// Average) smoothing to the RSI calculation. RSX provides smoother signals with
+/// less noise while maintaining responsiveness to significant price movements.
 /// </summary>
+/// <remarks>
+/// The RSX calculation process:
+/// 1. Calculates traditional RSI values
+/// 2. Applies JMA smoothing to RSI output
+/// 3. Uses optimized parameters for noise reduction
+/// 4. Maintains RSI's 0-100 scale
+///
+/// Key characteristics:
+/// - Smoother than traditional RSI
+/// - Better noise reduction
+/// - Maintains responsiveness to significant moves
+/// - Same interpretation as RSI (0-100 scale)
+/// - Fewer false signals than RSI
+///
+/// Formula:
+/// RSX = JMA(RSI(price))
+/// where:
+/// RSI = standard Relative Strength Index
+/// JMA = Jurik Moving Average with optimized parameters
+///
+/// Sources:
+///     Mark Jurik - "The Jurik RSX"
+///     https://www.jurikresearch.com/
+///
+/// Note: Proprietary enhancement of RSI using JMA technology
+/// </remarks>
+
 public class Rsx : AbstractBase
 {
     private readonly Rma _avgGain;
@@ -12,6 +41,10 @@ public class Rsx : AbstractBase
     private readonly Jma _rsx;
     private double _prevValue, _p_prevValue;
 
+    /// <param name="period">The number of periods for RSI calculation (default 14).</param>
+    /// <param name="phase">The phase parameter for JMA smoothing (default 0).</param>
+    /// <param name="factor">The factor parameter for smoothing control (default 0.55).</param>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
     public Rsx(int period = 14, int phase = 0, double factor = 0.55)
     {
         if (period < 1)
@@ -24,13 +57,10 @@ public class Rsx : AbstractBase
         Name = $"RSX({period})";
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the RSX class with a data source.
+    /// <param name="period">The number of periods for RSI calculation.</param>
-    /// </summary>
+    /// <param name="phase">The phase parameter for JMA smoothing.</param>
-    /// <param name="source">The source object that publishes data.</param>
+    /// <param name="factor">The factor parameter for smoothing control.</param>
-    /// <param name="period">The number of data points to consider.</param>
-    /// <param name="phase">The phase parameter.</param>
-    /// <param name="factor">The factor parameter.</param>
     public Rsx(object source, int period, int phase = 0, double factor = 0.55) : this(period, phase, factor)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
@@ -59,15 +89,18 @@ public class Rsx : AbstractBase
             _prevValue = Input.Value;
         }
 
+        // Calculate RSI components
         double change = Input.Value - _prevValue;
         double gain = Math.Max(change, 0);
         double loss = Math.Max(-change, 0);
         _prevValue = Input.Value;
 
+        // Calculate RSI
         _avgGain.Calc(gain, IsNew: Input.IsNew);
         _avgLoss.Calc(loss, IsNew: Input.IsNew);
-
         double rsi = (_avgLoss.Value > 0) ? 100 - (100 / (1 + (_avgGain.Value / _avgLoss.Value))) : 100;
+
+        // Apply JMA smoothing
         double rsx = _rsx.Calc(rsi, Input.IsNew);
 
         return rsx;

lib/statistics/Curvature.cs

@@ -1,15 +1,41 @@
+using System;
+using System.Linq;
 namespace QuanTAlib;
 
 /// <summary>
-/// Calculates the rate of change of the slope over a specified period.
+/// Curvature: Second Derivative Rate of Change
-/// Provides insights into trend acceleration or deceleration.
+/// A statistical measure that calculates the rate of change of the slope over time.
+/// Curvature provides insights into trend acceleration or deceleration by measuring
+/// how quickly the slope (first derivative) is changing.
 /// </summary>
 /// <remarks>
-/// Curvature is a second-order derivative that measures how quickly the slope (first-order derivative) is changing.
+/// The Curvature calculation process:
-/// Positive curvature indicates accelerating uptrends or decelerating downtrends.
+/// 1. Calculates slope values over the specified period
-/// Negative curvature indicates decelerating uptrends or accelerating downtrends.
+/// 2. Applies least squares regression to slope values
-/// This indicator can be useful for identifying potential trend reversals or confirming trend strength.
+/// 3. Provides slope of slopes (curvature)
+/// 4. Includes additional statistical measures (R², StdDev)
+///
+/// Key characteristics:
+/// - Measures trend acceleration/deceleration
+/// - Positive values indicate accelerating uptrends or decelerating downtrends
+/// - Negative values indicate decelerating uptrends or accelerating downtrends
+/// - Helps identify potential trend reversals
+/// - Provides trend momentum information
+///
+/// Formula:
+/// Curvature = Σ((x - x̄)(y - ȳ)) / Σ((x - x̄)²)
+/// where:
+/// x = time points
+/// y = slope values
+/// x̄, ȳ = respective means
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Curvature
+///     https://www.sciencedirect.com/topics/mathematics/curve-fitting
+///
+/// Note: Second-order derivative providing acceleration insights
 /// </remarks>
+
 public class Curvature : AbstractBase
 {
     private readonly int _period;
@@ -36,13 +62,8 @@ public class Curvature : AbstractBase
     /// </summary>
     public double? Line { get; private set; }
 
-    /// <summary>
+    /// <param name="period">The number of points to consider for calculation.</param>
-    /// Initializes a new instance of the Curvature class.
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is 2 or less.</exception>
-    /// </summary>
-    /// <param name="period">The number of data points to consider for calculation.</param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when the period is 2 or less.
-    /// </exception>
     public Curvature(int period)
     {
         if (period <= 2)
@@ -59,20 +80,14 @@ public class Curvature : AbstractBase
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Curvature class with a data source.
+    /// <param name="period">The number of points to consider for calculation.</param>
-    /// </summary>
-    /// <param name="source">The source object that publishes data.</param>
-    /// <param name="period">The number of data points to consider.</param>
     public Curvature(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Resets the Curvature indicator to its initial state.
-    /// </summary>
     public override void Init()
     {
         base.Init();
@@ -83,10 +98,6 @@ public class Curvature : AbstractBase
         Line = null;
     }
 
-    /// <summary>
-    /// Manages the state of the indicator.
-    /// </summary>
-    /// <param name="isNew">Indicates if the current data point is new.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -96,16 +107,6 @@ public class Curvature : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the curvature calculation.
-    /// </summary>
-    /// <returns>
-    /// The calculated curvature value. Positive for increasing slope, negative for decreasing.
-    /// </returns>
-    /// <remarks>
-    /// Uses least squares method for optimal calculation. Also computes additional statistics
-    /// such as Intercept, Standard Deviation, R-Squared, and Line value.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);

lib/statistics/Entropy.cs

@@ -1,33 +1,53 @@
+using System;
+using System.Linq;
 namespace QuanTAlib;
 
 /// <summary>
-/// Measures the unpredictability of data using Shannon's Entropy.
+/// Entropy: Information Content Measure
-/// Provides insights into the randomness or information content of the time series.
+/// A statistical measure that quantifies the unpredictability or randomness in
+/// a time series using Shannon's Entropy. Higher entropy indicates more randomness
+/// and uncertainty in the data.
 /// </summary>
 /// <remarks>
-/// Shannon's Entropy quantifies the average amount of information contained in a message.
+/// The Entropy calculation process:
-/// In the context of time series analysis, it can be used to:
+/// 1. Groups values to calculate probabilities
-/// - Detect regime changes or structural breaks in the data.
+/// 2. Applies Shannon's entropy formula
-/// - Assess the complexity or predictability of price movements.
+/// 3. Normalizes result to 0-1 range
-/// - Identify periods of high uncertainty or information flow in the market.
+/// 4. Adjusts for number of unique values
-/// The entropy value is normalized between 0 and 1, where 1 indicates maximum randomness
+///
-/// and 0 indicates perfect predictability.
+/// Key characteristics:
+/// - Range from 0 (predictable) to 1 (random)
+/// - Measures information content
+/// - Detects regime changes
+/// - Identifies market uncertainty
+/// - Scale-independent measure
+///
+/// Formula:
+/// H = -Σ(p(x) * log₂(p(x))) / log₂(n)
+/// where:
+/// p(x) = probability of value x
+/// n = number of unique values
+///
+/// Applications:
+/// - Detect market regime changes
+/// - Assess price movement predictability
+/// - Identify periods of high uncertainty
+/// - Measure information flow in markets
+///
+/// Sources:
+///     Claude Shannon - "A Mathematical Theory of Communication" (1948)
+///     https://en.wikipedia.org/wiki/Entropy_(information_theory)
+///
+/// Note: Normalized to [0,1] for easier interpretation
 /// </remarks>
+
 public class Entropy : AbstractBase
 {
-    /// <summary>
-    /// The number of data points to consider for the entropy calculation.
-    /// </summary>
     private readonly int Period;
     private readonly CircularBuffer _buffer;
 
-    /// <summary>
+    /// <param name="period">The number of points to consider for entropy calculation.</param>
-    /// Initializes a new instance of the Entropy class.
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 2.</exception>
-    /// </summary>
-    /// <param name="period">The number of data points to consider for calculation.</param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when the period is less than 2.
-    /// </exception>
     public Entropy(int period)
     {
         if (period < 2)
@@ -42,30 +62,20 @@ public class Entropy : AbstractBase
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Entropy class with a data source.
+    /// <param name="period">The number of points to consider for entropy calculation.</param>
-    /// </summary>
-    /// <param name="source">The source object that publishes data.</param>
-    /// <param name="period">The number of data points to consider.</param>
     public Entropy(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Resets the Entropy indicator to its initial state.
-    /// </summary>
     public override void Init()
     {
         base.Init();
         _buffer.Clear();
     }
 
-    /// <summary>
-    /// Manages the state of the indicator.
-    /// </summary>
-    /// <param name="isNew">Indicates if the current data point is new.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -75,17 +85,6 @@ public class Entropy : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the entropy calculation.
-    /// </summary>
-    /// <returns>
-    /// The calculated entropy value, normalized between 0 and 1.
-    /// 1 indicates maximum randomness, 0 indicates perfect predictability.
-    /// </returns>
-    /// <remarks>
-    /// Uses Shannon's Entropy formula and normalizes the result based on the
-    /// number of unique values in the current period.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
@@ -93,22 +92,22 @@ public class Entropy : AbstractBase
         _buffer.Add(Input.Value, Input.IsNew);
 
         double entropy = 0;
-        if (_index > 1)  // We need at least two data points for entropy calculation
+        if (_index > 1)  // Need at least two data points for entropy calculation
         {
             var values = _buffer.GetSpan().ToArray();
             int n = values.Length;
 
-            // Calculate probabilities
+            // Calculate probabilities for each unique value
             var groupedValues = values.GroupBy(x => x).Select(g => new { Value = g.Key, Count = g.Count() });
 
-            // Use the actual count of values for probability calculation
+            // Calculate Shannon's entropy
             foreach (var group in groupedValues)
             {
                 double probability = (double)group.Count / n;
                 entropy -= probability * Math.Log2(probability);
             }
 
-            // Normalize the entropy based on the current number of unique values
+            // Normalize by maximum possible entropy for current unique values
             int uniqueValueCount = groupedValues.Count();
             double maxEntropy = Math.Log2(uniqueValueCount);
 
@@ -116,7 +115,7 @@ public class Entropy : AbstractBase
         }
         else
         {
-            entropy = 1; // Default to maximum entropy when insufficient data
+            entropy = 1; // Maximum entropy when insufficient data
         }
 
         IsHot = _buffer.Count >= Period;

lib/statistics/Kurtosis.cs

@@ -1,38 +1,54 @@
+using System;
+using System.Linq;
 namespace QuanTAlib;
 
 /// <summary>
-/// Calculates excess kurtosis using the Sheskin Algorithm.
+/// Kurtosis: Distribution Tail Weight Measure
-/// Measures the "tailedness" of the probability distribution of a real-valued random variable.
+/// A statistical measure that quantifies the "tailedness" of a distribution using
+/// the Sheskin Algorithm. Kurtosis indicates whether data has heavy tails (more
+/// outliers) or light tails (fewer outliers) compared to a normal distribution.
 /// </summary>
 /// <remarks>
-/// Kurtosis is a measure of the combined weight of a distribution's tails relative to the center of the distribution.
+/// The Kurtosis calculation process:
-/// In financial time series analysis, kurtosis can provide insights into:
+/// 1. Calculates mean of the data
-/// - The frequency and magnitude of extreme returns.
+/// 2. Computes squared and fourth power deviations
-/// - The potential for outliers or "black swan" events.
+/// 3. Applies Sheskin Algorithm for excess kurtosis
-/// - The shape of the return distribution compared to a normal distribution.
+/// 4. Adjusts for sample size bias
 ///
-/// Interpretation:
+/// Key characteristics:
-/// - Excess kurtosis > 0: Heavy-tailed distribution (more extreme values than a normal distribution)
+/// - Measures tail weight relative to normal distribution
-/// - Excess kurtosis = 0: Normal distribution
+/// - Positive values indicate heavy tails
-/// - Excess kurtosis < 0: Light-tailed distribution (fewer extreme values than a normal distribution)
+/// - Negative values indicate light tails
+/// - Zero indicates normal distribution
+/// - Sensitive to extreme values
 ///
-/// High kurtosis in financial returns may indicate a higher risk of extreme events.
+/// Formula:
+/// K = [n(n+1)Σ(x-μ)⁴] / [s⁴(n-1)(n-2)(n-3)] - [3(n-1)²]/[(n-2)(n-3)]
+/// where:
+/// n = sample size
+/// μ = mean
+/// s = standard deviation
+///
+/// Market Applications:
+/// - Identify potential for extreme moves
+/// - Assess risk of "black swan" events
+/// - Compare return distributions
+/// - Risk management tool
+///
+/// Sources:
+///     David J. Sheskin - "Handbook of Parametric and Nonparametric Statistical Procedures"
+///     https://en.wikipedia.org/wiki/Kurtosis
+///
+/// Note: Returns excess kurtosis (normal distribution = 0)
 /// </remarks>
+
 public class Kurtosis : AbstractBase
 {
-    /// <summary>
-    /// The number of data points to consider for the kurtosis calculation.
-    /// </summary>
     private readonly int Period;
     private readonly CircularBuffer _buffer;
 
-    /// <summary>
+    /// <param name="period">The number of points to consider for kurtosis calculation.</param>
-    /// Initializes a new instance of the Kurtosis class.
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 4.</exception>
-    /// </summary>
-    /// <param name="period">The number of data points to consider for calculation.</param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when the period is less than 4.
-    /// </exception>
     public Kurtosis(int period)
     {
         if (period < 4)
@@ -47,30 +63,20 @@ public class Kurtosis : AbstractBase
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Kurtosis class with a data source.
+    /// <param name="period">The number of points to consider for kurtosis calculation.</param>
-    /// </summary>
-    /// <param name="source">The source object that publishes data.</param>
-    /// <param name="period">The number of data points to consider.</param>
     public Kurtosis(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Resets the Kurtosis indicator to its initial state.
-    /// </summary>
     public override void Init()
     {
         base.Init();
         _buffer.Clear();
     }
 
-    /// <summary>
-    /// Manages the state of the indicator.
-    /// </summary>
-    /// <param name="isNew">Indicates if the current data point is new.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -80,22 +86,6 @@ public class Kurtosis : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the kurtosis calculation.
-    /// </summary>
-    /// <returns>
-    /// The calculated excess kurtosis. Positive for heavy-tailed distributions,
-    /// negative for light-tailed distributions.
-    /// </returns>
-    /// <remarks>
-    /// Uses the Sheskin Algorithm for kurtosis calculation.
-    /// Requires at least 4 data points for a valid calculation.
-    ///
-    /// Interpretation of results:
-    /// - Positive values indicate a distribution with heavier tails and a higher peak compared to a normal distribution.
-    /// - Negative values indicate a distribution with lighter tails and a lower peak compared to a normal distribution.
-    /// - A value close to 0 suggests a distribution similar to a normal distribution in terms of tailedness.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
@@ -103,14 +93,15 @@ public class Kurtosis : AbstractBase
         _buffer.Add(Input.Value, Input.IsNew);
 
         double kurtosis = 0;
-        if (_buffer.Count > 3)
+        if (_buffer.Count > 3)  // Need at least 4 points for valid calculation
         {
             var values = _buffer.GetSpan().ToArray();
             double mean = values.Average();
             double n = values.Length;
 
-            double s2 = 0;
+            // Calculate squared and fourth power deviations
-            double s4 = 0;
+            double s2 = 0;  // Sum of squared deviations
+            double s4 = 0;  // Sum of fourth power deviations
 
             for (int i = 0; i < values.Length; i++)
             {
@@ -121,7 +112,7 @@ public class Kurtosis : AbstractBase
 
             double variance = s2 / (n - 1);
 
-            // Sheskin Algorithm
+            // Sheskin Algorithm for excess kurtosis
             kurtosis = (n * (n + 1) * s4) / (variance * variance * (n - 3) * (n - 1) * (n - 2))
                        - (3 * (n - 1) * (n - 1) / ((n - 2) * (n - 3)));
         }

lib/statistics/Max.cs

@@ -1,63 +1,58 @@
+using System;
 namespace QuanTAlib;
 
 /// <summary>
-/// Calculates the maximum value over a specified period, with an optional decay factor.
+/// MAX: Maximum Value with Decay
-/// Useful for tracking the highest point in a time series with the ability to gradually forget old peaks.
+/// A statistical measure that tracks the highest value over a specified period,
+/// with an optional decay factor to gradually reduce the influence of older peaks.
+/// This adaptive approach allows the indicator to respond to changing market conditions.
 /// </summary>
 /// <remarks>
-/// The Max indicator is particularly useful in financial analysis for:
+/// The MAX calculation process:
-/// - Identifying resistance levels in price charts.
+/// 1. Tracks highest value in current period
-/// - Tracking the highest price over a given period.
+/// 2. Applies exponential decay to old peaks
-/// - Implementing trailing stop-loss strategies.
+/// 3. Adjusts decay based on time since last peak
+/// 4. Caps result at current period's maximum
 ///
-/// The decay factor allows the indicator to adapt to changing market conditions by
+/// Key characteristics:
-/// gradually reducing the influence of older maximum values.
+/// - Tracks absolute highest values
+/// - Optional decay for adaptivity
+/// - Maintains historical context
+/// - Smooth transitions with decay
+/// - Period-based windowing
+///
+/// Formula:
+/// decay = 1 - e^(-halfLife * timeSinceMax / period)
+/// max = max - decay * (max - periodAverage)
+/// max = min(max, periodMaximum)
+///
+/// Market Applications:
+/// - Identify resistance levels
+/// - Track price peaks
+/// - Implement trailing stops
+/// - Monitor price extremes
+/// - Adaptive trend following
+///
+/// Sources:
+///     Technical Analysis of Financial Markets
+///     https://www.investopedia.com/terms/r/resistance.asp
+///
+/// Note: Decay factor allows for adaptive peak tracking
 /// </remarks>
+
 public class Max : AbstractBase
 {
-    /// <summary>
-    /// The number of data points to consider for the maximum calculation.
-    /// </summary>
     private readonly int Period;
-
-    /// <summary>
-    /// Circular buffer to store the most recent data points.
-    /// </summary>
     private readonly CircularBuffer _buffer;
-
-    /// <summary>
-    /// The half-life decay factor used to gradually forget old peaks.
-    /// </summary>
     private readonly double _halfLife;
-
-    /// <summary>
-    /// The current maximum value.
-    /// </summary>
     private double _currentMax;
-
-    /// <summary>
-    /// The previous maximum value.
-    /// </summary>
     private double _p_currentMax;
-
-    /// <summary>
-    /// The number of periods since a new maximum was set.
-    /// </summary>
     private int _timeSinceNewMax;
-
-    /// <summary>
-    /// The previous value of _timeSinceNewMax.
-    /// </summary>
     private int _p_timeSinceNewMax;
 
-    /// <summary>
+    /// <param name="period">The number of points to consider for maximum calculation.</param>
-    /// Initializes a new instance of the Max class.
+    /// <param name="decay">Half-life decay factor (0 for no decay, higher for faster forgetting).</param>
-    /// </summary>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1 or decay is negative.</exception>
-    /// <param name="period">The number of data points to consider. Must be at least 1.</param>
-    /// <param name="decay">Half-life decay factor. Set to 0 for no decay, higher for faster forgetting of old peaks. Default is 0.</param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when the period is less than 1 or decay is negative.
-    /// </exception>
     public Max(int period, double decay = 0)
     {
         if (period < 1)
@@ -78,21 +73,15 @@ public class Max : AbstractBase
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Max class with a data source.
+    /// <param name="period">The number of points to consider for maximum calculation.</param>
-    /// </summary>
+    /// <param name="decay">Half-life decay factor (default 0).</param>
-    /// <param name="source">The source object that publishes data.</param>
-    /// <param name="period">The number of data points to consider.</param>
-    /// <param name="decay">Half-life decay factor. Default is 0.</param>
     public Max(object source, int period, double decay = 0) : this(period, decay)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Resets the Max indicator to its initial state.
-    /// </summary>
     public override void Init()
     {
         base.Init();
@@ -100,10 +89,6 @@ public class Max : AbstractBase
         _timeSinceNewMax = 0;
     }
 
-    /// <summary>
-    /// Manages the state of the indicator.
-    /// </summary>
-    /// <param name="isNew">Indicates if the current data point is new.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -121,29 +106,23 @@ public class Max : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the max calculation.
-    /// </summary>
-    /// <returns>
-    /// The current maximum value, potentially adjusted by the decay factor.
-    /// </returns>
-    /// <remarks>
-    /// Uses a decay factor to gradually forget old peaks. The max value is always
-    /// capped by the highest value in the current period.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
         _buffer.Add(Input.Value, Input.IsNew);
 
+        // Update maximum if new value is higher
         if (Input.Value >= _currentMax)
         {
             _currentMax = Input.Value;
             _timeSinceNewMax = 0;
         }
 
+        // Apply decay based on time since last maximum
         double decayRate = 1 - Math.Exp(-_halfLife * _timeSinceNewMax / Period);
         _currentMax -= decayRate * (_currentMax - _buffer.Average());
+
+        // Ensure maximum doesn't exceed current period's highest value
         _currentMax = Math.Min(_currentMax, _buffer.Max());
 
         IsHot = true;

lib/statistics/Median.cs

@@ -1,33 +1,52 @@
+using System;
+using System.Linq;
 namespace QuanTAlib;
 
 /// <summary>
-/// Calculates the median value over a specified period.
+/// Median: Central Tendency Measure
-/// Provides a measure of central tendency that is robust to outliers.
+/// A robust statistical measure that finds the middle value in a sorted dataset.
+/// The median is less sensitive to outliers than the mean, making it particularly
+/// useful for analyzing price data with extreme values.
 /// </summary>
 /// <remarks>
-/// The Median indicator is particularly useful in financial analysis for:
+/// The Median calculation process:
-/// - Providing a robust measure of central tendency that is less affected by extreme values than the mean.
+/// 1. Collects values over specified period
-/// - Identifying the middle value in a dataset, which can be helpful in understanding price distributions.
+/// 2. Sorts values in ascending order
-/// - Serving as a basis for other indicators or trading strategies that require a stable reference point.
+/// 3. Finds middle value(s)
+/// 4. Averages two middle values if even count
 ///
-/// Unlike the mean, the median is not influenced by extreme outliers, making it valuable
+/// Key characteristics:
-/// in markets with occasional large price swings or in the presence of data anomalies.
+/// - Robust to outliers
+/// - Always represents actual data point
+/// - Splits dataset in half
+/// - More stable than mean
+/// - Maintains data scale
+///
+/// Formula:
+/// For odd n: median = value at position (n+1)/2
+/// For even n: median = (value at n/2 + value at (n/2)+1) / 2
+///
+/// Market Applications:
+/// - Price distribution analysis
+/// - Trend identification
+/// - Outlier detection
+/// - Support/resistance levels
+/// - Filter extreme movements
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Median
+///     "Statistics for Trading" - Technical Analysis of Financial Markets
+///
+/// Note: More robust than mean for non-normal distributions
 /// </remarks>
+
 public class Median : AbstractBase
 {
-    /// <summary>
-    /// The number of data points to consider for the median calculation.
-    /// </summary>
     private readonly int Period;
     private readonly CircularBuffer _buffer;
 
-    /// <summary>
+    /// <param name="period">The number of points to consider for median calculation.</param>
-    /// Initializes a new instance of the Median class.
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
-    /// </summary>
-    /// <param name="period">The number of data points to consider. Must be at least 1.</param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when the period is less than 1.
-    /// </exception>
     public Median(int period)
     {
         if (period < 1)
@@ -42,30 +61,20 @@ public class Median : AbstractBase
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Median class with a data source.
+    /// <param name="period">The number of points to consider for median calculation.</param>
-    /// </summary>
-    /// <param name="source">The source object that publishes data.</param>
-    /// <param name="period">The number of data points to consider.</param>
     public Median(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Resets the Median indicator to its initial state.
-    /// </summary>
     public override void Init()
     {
         base.Init();
         _buffer.Clear();
     }
 
-    /// <summary>
-    /// Manages the state of the indicator.
-    /// </summary>
-    /// <param name="isNew">Indicates if the current data point is new.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -75,16 +84,6 @@ public class Median : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the median calculation.
-    /// </summary>
-    /// <returns>
-    /// The current median value of the dataset.
-    /// </returns>
-    /// <remarks>
-    /// Uses a sorting approach to find the median. If there's not enough data,
-    /// it uses the average as a temporary measure.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
@@ -93,11 +92,15 @@ public class Median : AbstractBase
         double median;
         if (_index >= Period)
         {
+            // Get sorted copy of values
             var sortedValues = _buffer.GetSpan().ToArray();
             Array.Sort(sortedValues);
             int middleIndex = sortedValues.Length / 2;
 
-            median = (sortedValues.Length % 2 == 0) ? (sortedValues[middleIndex - 1] + sortedValues[middleIndex]) / 2.0 : sortedValues[middleIndex];
+            // Calculate median based on odd/even count
+            median = (sortedValues.Length % 2 == 0)
+                ? (sortedValues[middleIndex - 1] + sortedValues[middleIndex]) / 2.0
+                : sortedValues[middleIndex];
         }
         else
         {

lib/statistics/Min.cs

@@ -1,63 +1,58 @@
+using System;
 namespace QuanTAlib;
 
 /// <summary>
-/// Represents a minimum value calculator with optional decay over a specified period.
+/// MIN: Minimum Value with Decay
-/// This class calculates the minimum value within a given period, with the ability to
+/// A statistical measure that tracks the lowest value over a specified period,
-/// apply a decay factor to give more weight to recent values.
+/// with an optional decay factor to gradually reduce the influence of older lows.
+/// This adaptive approach allows the indicator to respond to changing market conditions.
 /// </summary>
 /// <remarks>
-/// The Min class uses a circular buffer to store values and calculates the minimum
+/// The MIN calculation process:
-/// efficiently. It also implements a decay mechanism to adjust the minimum value over
+/// 1. Tracks lowest value in current period
-/// time, allowing for a more responsive indicator in changing market conditions.
+/// 2. Applies exponential decay to old lows
+/// 3. Adjusts decay based on time since last low
+/// 4. Caps result at current period's minimum
 ///
-/// The decay factor allows the indicator to "forget" old minimum values gradually,
+/// Key characteristics:
-/// which can be useful in adapting to new price trends or market regimes.
+/// - Tracks absolute lowest values
+/// - Optional decay for adaptivity
+/// - Maintains historical context
+/// - Smooth transitions with decay
+/// - Period-based windowing
+///
+/// Formula:
+/// decay = 1 - e^(-halfLife * timeSinceMin / period)
+/// min = min + decay * (periodAverage - min)
+/// min = max(min, periodMinimum)
+///
+/// Market Applications:
+/// - Identify support levels
+/// - Track price troughs
+/// - Implement trailing stops
+/// - Monitor price extremes
+/// - Adaptive trend following
+///
+/// Sources:
+///     Technical Analysis of Financial Markets
+///     https://www.investopedia.com/terms/s/support.asp
+///
+/// Note: Decay factor allows for adaptive low tracking
 /// </remarks>
+
 public class Min : AbstractBase
 {
-    /// <summary>
-    /// The number of data points to consider for the minimum calculation.
-    /// </summary>
     private readonly int Period;
-
-    /// <summary>
-    /// Circular buffer to store the most recent data points.
-    /// </summary>
     private readonly CircularBuffer _buffer;
-
-    /// <summary>
-    /// The half-life decay factor used to gradually forget old minimums.
-    /// </summary>
     private readonly double _halfLife;
-
-    /// <summary>
-    /// The current minimum value.
-    /// </summary>
     private double _currentMin;
-
-    /// <summary>
-    /// The previous minimum value.
-    /// </summary>
     private double _p_currentMin;
-
-    /// <summary>
-    /// The number of periods since a new minimum was set.
-    /// </summary>
     private int _timeSinceNewMin;
-
-    /// <summary>
-    /// The previous value of _timeSinceNewMin.
-    /// </summary>
     private int _p_timeSinceNewMin;
 
-    /// <summary>
+    /// <param name="period">The number of points to consider for minimum calculation.</param>
-    /// Initializes a new instance of the Min class with the specified period and decay.
+    /// <param name="decay">Half-life decay factor (0 for no decay, higher for faster forgetting).</param>
-    /// </summary>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1 or decay is negative.</exception>
-    /// <param name="period">The period over which to calculate the minimum value.</param>
-    /// <param name="decay">The decay factor to apply to older values. Higher values cause faster forgetting of old minimums. Default is 0 (no decay).</param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when period is less than 1 or decay is negative.
-    /// </exception>
     public Min(int period, double decay = 0)
     {
         if (period < 1)
@@ -76,21 +71,15 @@ public class Min : AbstractBase
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Min class with the specified source, period, and decay.
+    /// <param name="period">The number of points to consider for minimum calculation.</param>
-    /// </summary>
+    /// <param name="decay">Half-life decay factor (default 0).</param>
-    /// <param name="source">The source object to subscribe to for value updates.</param>
-    /// <param name="period">The period over which to calculate the minimum value.</param>
-    /// <param name="decay">The decay factor to apply to older values. Higher values cause faster forgetting of old minimums. Default is 0 (no decay).</param>
     public Min(object source, int period, double decay = 0) : this(period, decay)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Initializes the Min instance by setting initial values.
-    /// </summary>
     public override void Init()
     {
         base.Init();
@@ -98,10 +87,6 @@ public class Min : AbstractBase
         _timeSinceNewMin = 0;
     }
 
-    /// <summary>
-    /// Manages the state of the Min instance based on whether a new value is being processed.
-    /// </summary>
-    /// <param name="isNew">Indicates whether the current input is a new value.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -119,29 +104,23 @@ public class Min : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the minimum value calculation with decay.
-    /// </summary>
-    /// <returns>The calculated minimum value for the current period.</returns>
-    /// <remarks>
-    /// This method updates the current minimum value based on the input, applies the decay
-    /// factor, and ensures the result is not lower than the actual minimum in the buffer.
-    /// The decay rate is calculated using an exponential function based on the time since
-    /// the last new minimum and the specified half-life.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
         _buffer.Add(Input.Value, Input.IsNew);
 
+        // Update minimum if new value is lower
         if (Input.Value <= _currentMin)
         {
             _currentMin = Input.Value;
             _timeSinceNewMin = 0;
         }
 
+        // Apply decay based on time since last minimum
         double decayRate = 1 - Math.Exp(-_halfLife * _timeSinceNewMin / Period);
         _currentMin += decayRate * (_buffer.Average() - _currentMin);
+
+        // Ensure minimum doesn't fall below current period's lowest value
         _currentMin = Math.Max(_currentMin, _buffer.Min());
 
         IsHot = true;

lib/statistics/Mode.cs

@@ -1,34 +1,52 @@
+using System;
+using System.Linq;
 namespace QuanTAlib;
 
 /// <summary>
-/// Represents a mode calculator that determines the most frequent value in a specified period.
+/// MODE: Most Frequent Value Measure
-/// If multiple values have the same highest frequency, it returns their average.
+/// A statistical measure that identifies the most frequently occurring value(s)
+/// in a dataset. When multiple values share the highest frequency, it returns
+/// their average to provide a representative central value.
 /// </summary>
 /// <remarks>
-/// The Mode class uses a circular buffer to store values and calculates the mode
+/// The Mode calculation process:
-/// efficiently. Before the specified period is reached, it returns the average of
+/// 1. Groups values by frequency
-/// the available values as an approximation.
+/// 2. Identifies highest frequency group(s)
+/// 3. Averages multiple modes if present
+/// 4. Uses mean until period filled
 ///
-/// In financial analysis, the mode can be useful for:
+/// Key characteristics:
-/// - Identifying the most common price levels, which could indicate support or resistance.
+/// - Identifies most common values
-/// - Analyzing the distribution of returns or other financial metrics.
+/// - Handles multiple modes
-/// - Detecting patterns in trading volume or other discrete financial data.
+/// - Robust to distribution shape
+/// - Useful for discrete data
+/// - Returns actual data points
+///
+/// Formula:
+/// mode = value with highest frequency count
+/// if multiple modes: average of mode values
+///
+/// Market Applications:
+/// - Identify common price levels
+/// - Detect support/resistance zones
+/// - Analyze volume clusters
+/// - Find price congestion areas
+/// - Pattern recognition
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Mode_(statistics)
+///     "Statistical Analysis in Financial Markets"
+///
+/// Note: Particularly useful for price level analysis
 /// </remarks>
+
 public class Mode : AbstractBase
 {
-    /// <summary>
-    /// The number of data points to consider for the mode calculation.
-    /// </summary>
     private readonly int Period;
     private readonly CircularBuffer _buffer;
 
-    /// <summary>
+    /// <param name="period">The number of points to consider for mode calculation.</param>
-    /// Initializes a new instance of the Mode class with the specified period.
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
-    /// </summary>
-    /// <param name="period">The period over which to calculate the mode.</param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when period is less than 1.
-    /// </exception>
     public Mode(int period)
     {
         if (period < 1)
@@ -42,30 +60,20 @@ public class Mode : AbstractBase
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Mode class with the specified source and period.
+    /// <param name="period">The number of points to consider for mode calculation.</param>
-    /// </summary>
-    /// <param name="source">The source object to subscribe to for value updates.</param>
-    /// <param name="period">The period over which to calculate the mode.</param>
     public Mode(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Resets the Mode indicator to its initial state.
-    /// </summary>
     public override void Init()
     {
         base.Init();
         _buffer.Clear();
     }
 
-    /// <summary>
-    /// Manages the state of the Mode instance based on whether a new value is being processed.
-    /// </summary>
-    /// <param name="isNew">Indicates whether the current input is a new value.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -75,18 +83,6 @@ public class Mode : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the mode calculation for the current period.
-    /// </summary>
-    /// <returns>
-    /// The calculated mode (most frequent value) for the current period.
-    /// If multiple values have the same highest frequency, returns their average.
-    /// </returns>
-    /// <remarks>
-    /// Before the specified period is reached, this method returns the average of
-    /// the available values as an approximation of the mode. Once the period is
-    /// reached, it calculates the true mode by grouping and counting the values.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
@@ -95,22 +91,26 @@ public class Mode : AbstractBase
         double mode;
         if (_index >= Period)
         {
+            // Group values by frequency and order by count
             var values = _buffer.GetSpan().ToArray();
             var groupedValues = values.GroupBy(v => v)
-                                      .OrderByDescending(g => g.Count())
+                                    .OrderByDescending(g => g.Count())
-                                      .ThenBy(g => g.Key)
+                                    .ThenBy(g => g.Key)
-                                      .ToList();
+                                    .ToList();
 
+            // Find all values with highest frequency
             int maxCount = groupedValues.First().Count();
             var modes = groupedValues.TakeWhile(g => g.Count() == maxCount)
-                                     .Select(g => g.Key)
+                                   .Select(g => g.Key)
-                                     .ToList();
+                                   .ToList();
 
-            mode = modes.Average(); // If there are multiple modes, we return their average
+            // Average multiple modes if present
+            mode = modes.Average();
         }
         else
         {
-            mode = _buffer.Average(); // Use average until we have enough data points
+            // Use average until we have enough data points
+            mode = _buffer.Average();
         }
 
         IsHot = _index >= WarmupPeriod;

lib/statistics/Percentile.cs

@@ -1,40 +1,54 @@
+using System;
+using System.Linq;
 namespace QuanTAlib;
 
 /// <summary>
-/// Represents a percentile calculator that determines the value at a specified percentile
+/// Percentile: Distribution Position Measure
-/// in a given period of data points.
+/// A statistical measure that indicates the value below which a given percentage
+/// of observations falls. Percentiles provide insights into data distribution
+/// and are particularly useful for risk assessment and outlier detection.
 /// </summary>
 /// <remarks>
-/// The Percentile class uses a circular buffer to store values and calculates the
+/// The Percentile calculation process:
-/// percentile efficiently. It uses linear interpolation when the percentile falls
+/// 1. Sorts values in ascending order
-/// between two data points. Before the specified period is reached, it returns the
+/// 2. Calculates position based on percentile
-/// average of the available values as an approximation.
+/// 3. Interpolates between adjacent values
+/// 4. Uses mean until period filled
 ///
-/// In financial analysis, percentiles are useful for:
+/// Key characteristics:
-/// - Assessing the relative standing of a value within a distribution.
+/// - Range specific value identification
-/// - Identifying outliers or extreme values in financial data.
+/// - Linear interpolation for precision
-/// - Creating risk measures, such as Value at Risk (VaR) calculations.
+/// - Distribution independent
-/// - Analyzing the distribution of returns, trading volumes, or other financial metrics.
+/// - Robust to outliers
+/// - Useful for risk metrics
+///
+/// Formula:
+/// position = (percentile/100) * (n-1)
+/// value = v[floor(pos)] + (v[ceil(pos)] - v[floor(pos)]) * (pos - floor(pos))
+/// where n = number of observations, v = sorted values
+///
+/// Market Applications:
+/// - Value at Risk (VaR) calculation
+/// - Risk management metrics
+/// - Performance analysis
+/// - Volatility assessment
+/// - Outlier detection
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Percentile
+///     "Risk Management in Trading" - Davis Edwards
+///
+/// Note: Particularly useful for risk metrics like VaR
 /// </remarks>
+
 public class Percentile : AbstractBase
 {
-    /// <summary>
-    /// The number of data points to consider for the percentile calculation.
-    /// </summary>
     private readonly int Period;
-
-    /// <summary>
-    /// The percentile to calculate (between 0 and 100).
-    /// </summary>
     private readonly double Percent;
-
     private readonly CircularBuffer _buffer;
 
-    /// <summary>
+    /// <param name="period">The number of points to consider for percentile calculation.</param>
-    /// Initializes a new instance of the Percentile class with the specified period and percentile.
+    /// <param name="percent">The percentile to calculate (0-100).</param>
-    /// </summary>
-    /// <param name="period">The period over which to calculate the percentile.</param>
-    /// <param name="percent">The percentile to calculate (between 0 and 100).</param>
     /// <exception cref="ArgumentOutOfRangeException">
     /// Thrown when period is less than 2 or percent is not between 0 and 100.
     /// </exception>
@@ -42,11 +56,13 @@ public class Percentile : AbstractBase
     {
         if (period < 2)
         {
-            throw new ArgumentOutOfRangeException(nameof(period), "Period must be greater than or equal to 2 for percentile calculation.");
+            throw new ArgumentOutOfRangeException(nameof(period),
+                "Period must be greater than or equal to 2 for percentile calculation.");
         }
         if (percent < 0 || percent > 100)
         {
-            throw new ArgumentOutOfRangeException(nameof(percent), "Percent must be between 0 and 100.");
+            throw new ArgumentOutOfRangeException(nameof(percent),
+                "Percent must be between 0 and 100.");
         }
         Period = period;
         Percent = percent;
@@ -56,31 +72,21 @@ public class Percentile : AbstractBase
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Percentile class with the specified source, period, and percentile.
+    /// <param name="period">The number of points to consider for percentile calculation.</param>
-    /// </summary>
+    /// <param name="percent">The percentile to calculate (0-100).</param>
-    /// <param name="source">The source object to subscribe to for value updates.</param>
-    /// <param name="period">The period over which to calculate the percentile.</param>
-    /// <param name="percent">The percentile to calculate (between 0 and 100).</param>
     public Percentile(object source, int period, double percent) : this(period, percent)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Initializes the Percentile instance by clearing the buffer.
-    /// </summary>
     public override void Init()
     {
         base.Init();
         _buffer.Clear();
     }
 
-    /// <summary>
-    /// Manages the state of the Percentile instance based on whether a new value is being processed.
-    /// </summary>
-    /// <param name="isNew">Indicates whether the current input is a new value.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -90,18 +96,6 @@ public class Percentile : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the percentile calculation for the current period.
-    /// </summary>
-    /// <returns>
-    /// The calculated percentile value for the current period.
-    /// </returns>
-    /// <remarks>
-    /// This method uses linear interpolation when the percentile falls between two data points.
-    /// Before the specified period is reached, it returns the average of the available values
-    /// as an approximation. Once the period is reached, it calculates the true percentile by
-    /// sorting the values and interpolating as necessary.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
@@ -110,6 +104,7 @@ public class Percentile : AbstractBase
         double result;
         if (_buffer.Count >= Period)
         {
+            // Sort values and calculate percentile position
             var values = _buffer.GetSpan().ToArray();
             Array.Sort(values);
 
@@ -123,7 +118,7 @@ public class Percentile : AbstractBase
             }
             else
             {
-                // Interpolate between the two nearest values
+                // Linear interpolation between adjacent values
                 double lowerValue = values[lowerIndex];
                 double upperValue = values[upperIndex];
                 double fraction = position - lowerIndex;
@@ -132,7 +127,7 @@ public class Percentile : AbstractBase
         }
         else
         {
-            // Use average for insufficient data, like the Median class
+            // Use average until we have enough data points
             result = _buffer.Average();
         }
 

lib/statistics/Skew.cs

@@ -1,44 +1,62 @@
+using System;
+using System.Linq;
 namespace QuanTAlib;
 
 /// <summary>
-/// Represents a skewness calculator that measures the asymmetry of the probability
+/// SKEW: Distribution Asymmetry Measure
-/// distribution of a real-valued random variable about its mean.
+/// A statistical measure that quantifies the asymmetry of a probability distribution
+/// around its mean. Skewness indicates whether deviations from the mean are more
+/// likely in one direction than the other.
 /// </summary>
 /// <remarks>
-/// The Skew class uses a circular buffer to store values and calculates the skewness
+/// The Skew calculation process:
-/// efficiently. It uses the adjusted Fisher-Pearson standardized moment coefficient
+/// 1. Calculates mean of the data
-/// for sample skewness calculation. A minimum of 3 data points is required for the
+/// 2. Computes deviations from mean
-/// calculation.
+/// 3. Calculates third moment (cubed deviations)
+/// 4. Normalizes by standard deviation cubed
 ///
-/// In financial analysis, skewness is important for:
+/// Key characteristics:
-/// - Assessing the asymmetry of returns distribution.
+/// - Measures distribution asymmetry
-/// - Evaluating the risk of extreme events in either direction.
+/// - Positive values indicate right skew
-/// - Complementing other risk measures like standard deviation.
+/// - Negative values indicate left skew
-/// - Informing investment decisions and risk management strategies.
+/// - Zero indicates symmetry
+/// - Scale-independent measure
 ///
-/// Positive skewness indicates a longer tail on the right side of the distribution,
+/// Formula:
-/// while negative skewness indicates a longer tail on the left side.
+/// skew = [√(n(n-1))/(n-2)] * [m₃/s³]
+/// where:
+/// m₃ = third moment about the mean
+/// s = standard deviation
+/// n = sample size
+///
+/// Market Applications:
+/// - Risk assessment in returns
+/// - Options pricing models
+/// - Trading strategy development
+/// - Portfolio risk management
+/// - Market sentiment analysis
+///
+/// Sources:
+///     Fisher-Pearson standardized moment coefficient
+///     https://en.wikipedia.org/wiki/Skewness
+///     "The Analysis of Financial Time Series" - Ruey S. Tsay
+///
+/// Note: Requires minimum of 3 data points for calculation
 /// </remarks>
+
 public class Skew : AbstractBase
 {
-    /// <summary>
-    /// The number of data points to consider for the skewness calculation.
-    /// </summary>
     private readonly int Period;
     private readonly CircularBuffer _buffer;
 
-    /// <summary>
+    /// <param name="period">The number of points to consider for skewness calculation.</param>
-    /// Initializes a new instance of the Skew class with the specified period.
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 3.</exception>
-    /// </summary>
-    /// <param name="period">The period over which to calculate the skewness.</param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when period is less than 3.
-    /// </exception>
     public Skew(int period)
     {
         if (period < 3)
         {
-            throw new ArgumentOutOfRangeException(nameof(period), "Period must be greater than or equal to 3 for skewness calculation.");
+            throw new ArgumentOutOfRangeException(nameof(period),
+                "Period must be greater than or equal to 3 for skewness calculation.");
         }
         Period = period;
         WarmupPeriod = 3;
@@ -47,30 +65,20 @@ public class Skew : AbstractBase
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Skew class with the specified source and period.
+    /// <param name="period">The number of points to consider for skewness calculation.</param>
-    /// </summary>
-    /// <param name="source">The source object to subscribe to for value updates.</param>
-    /// <param name="period">The period over which to calculate the skewness.</param>
     public Skew(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Initializes the Skew instance by clearing the buffer.
-    /// </summary>
     public override void Init()
     {
         base.Init();
         _buffer.Clear();
     }
 
-    /// <summary>
-    /// Manages the state of the Skew instance based on whether a new value is being processed.
-    /// </summary>
-    /// <param name="isNew">Indicates whether the current input is a new value.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -80,36 +88,19 @@ public class Skew : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the skewness calculation for the current period.
-    /// </summary>
-    /// <returns>
-    /// The calculated skewness value for the current period.
-    /// </returns>
-    /// <remarks>
-    /// This method uses the adjusted Fisher-Pearson standardized moment coefficient
-    /// to calculate the sample skewness. It requires at least 3 data points for the
-    /// calculation. If there are fewer than 3 data points, or if the standard
-    /// deviation is zero, the method returns 0.
-    ///
-    /// Interpretation of results:
-    /// - Positive values indicate right-skewed distribution (longer tail on the right side).
-    /// - Negative values indicate left-skewed distribution (longer tail on the left side).
-    /// - Values close to 0 suggest a relatively symmetric distribution.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
-
         _buffer.Add(Input.Value, Input.IsNew);
 
         double skew = 0;
-        if (_buffer.Count >= 3)
+        if (_buffer.Count >= 3)  // Need at least 3 points for skewness
-        {  // We need at least 3 data points for skewness
+        {
             var values = _buffer.GetSpan().ToArray();
             double mean = values.Average();
             double n = values.Length;
 
+            // Calculate third and second moments
             double sumCubedDeviations = 0;
             double sumSquaredDeviations = 0;
 
@@ -120,13 +111,13 @@ public class Skew : AbstractBase
                 sumSquaredDeviations += Math.Pow(deviation, 2);
             }
 
-            // Calculate sample skewness using the adjusted Fisher-Pearson standardized moment coefficient
+            // Fisher-Pearson standardized moment coefficient
             double m3 = sumCubedDeviations / n;
             double m2 = sumSquaredDeviations / n;
             double s3 = Math.Pow(m2, 1.5);
 
-            if (s3 != 0)
+            if (s3 != 0)  // Avoid division by zero
-            {  // Avoid division by zero
+            {
                 skew = (Math.Sqrt(n * (n - 1)) / (n - 2)) * (m3 / s3);
             }
         }

lib/statistics/Slope.cs

@@ -1,52 +1,68 @@
+using System;
+using System.Linq;
 namespace QuanTAlib;
 
 /// <summary>
-/// Represents a slope calculator that performs linear regression on a series of data points.
+/// SLOPE: Linear Regression Trend Measure
+/// A statistical measure that calculates the rate of change using linear regression.
+/// Slope indicates the direction and steepness of a trend, providing insights into
+/// momentum and potential trend changes.
 /// </summary>
 /// <remarks>
-/// The Slope class calculates the slope of a linear regression line, along with other
+/// The Slope calculation process:
-/// statistical measures such as intercept, standard deviation, R-squared, and the last
+/// 1. Calculates means of x and y values
-/// point on the regression line. It uses the least squares method for calculation.
+/// 2. Computes deviations from means
+/// 3. Applies least squares method
+/// 4. Provides additional regression statistics
 ///
-/// In financial analysis, slope is important for:
+/// Key characteristics:
-/// - Identifying trends in price movements or other financial metrics.
+/// - Measures trend direction and strength
-/// - Measuring the rate of change in a financial time series.
+/// - Provides rate of change
-/// - Assessing the strength and direction of relationships between variables.
+/// - Scale-dependent measure
-/// - Supporting technical analysis indicators and trading strategies.
+/// - Includes regression statistics
+/// - Time-weighted calculation
+///
+/// Formula:
+/// slope = Σ((x - x̄)(y - ȳ)) / Σ((x - x̄)²)
+/// where:
+/// x = time points
+/// y = price values
+/// x̄, ȳ = respective means
+///
+/// Market Applications:
+/// - Trend identification
+/// - Momentum measurement
+/// - Support/resistance angles
+/// - Price target projection
+/// - Trend strength analysis
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Simple_linear_regression
+///     "Technical Analysis of Financial Markets" - John J. Murphy
+///
+/// Note: Provides additional regression statistics (R², intercept)
 /// </remarks>
+
 public class Slope : AbstractBase
 {
     private readonly int _period;
     private readonly CircularBuffer _buffer;
     private readonly CircularBuffer _timeBuffer;
 
-    /// <summary>
+    /// <summary>Gets the y-intercept of the regression line.</summary>
-    /// Gets the y-intercept of the regression line.
-    /// </summary>
     public double? Intercept { get; private set; }
 
-    /// <summary>
+    /// <summary>Gets the standard deviation of the y-values.</summary>
-    /// Gets the standard deviation of the y-values.
-    /// </summary>
     public double? StdDev { get; private set; }
 
-    /// <summary>
+    /// <summary>Gets the R-squared value, indicating regression fit quality.</summary>
-    /// Gets the R-squared value, indicating the goodness of fit of the regression line.
-    /// </summary>
     public double? RSquared { get; private set; }
 
-    /// <summary>
+    /// <summary>Gets the last point on the regression line.</summary>
-    /// Gets the y-value of the last point on the regression line.
-    /// </summary>
     public double? Line { get; private set; }
 
-    /// <summary>
+    /// <param name="period">The number of points to consider for slope calculation.</param>
-    /// Initializes a new instance of the Slope class with the specified period.
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than or equal to 1.</exception>
-    /// </summary>
-    /// <param name="period">The period over which to calculate the slope.</param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when period is less than or equal to 1.
-    /// </exception>
     public Slope(int period)
     {
         if (period <= 1)
@@ -59,24 +75,17 @@ public class Slope : AbstractBase
         _buffer = new CircularBuffer(period);
         _timeBuffer = new CircularBuffer(period);
         Name = $"Slope(period={period})";
-
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Slope class with the specified source and period.
+    /// <param name="period">The number of points to consider for slope calculation.</param>
-    /// </summary>
-    /// <param name="source">The source object to subscribe to for value updates.</param>
-    /// <param name="period">The period over which to calculate the slope.</param>
     public Slope(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Initializes the Slope instance by clearing buffers and resetting calculated values.
-    /// </summary>
     public override void Init()
     {
         base.Init();
@@ -88,10 +97,6 @@ public class Slope : AbstractBase
         Line = null;
     }
 
-    /// <summary>
-    /// Manages the state of the Slope instance based on whether a new value is being processed.
-    /// </summary>
-    /// <param name="isNew">Indicates whether the current input is a new value.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -101,25 +106,6 @@ public class Slope : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the slope calculation using linear regression for the current period.
-    /// </summary>
-    /// <returns>
-    /// The calculated slope value for the current period.
-    /// </returns>
-    /// <remarks>
-    /// This method uses the least squares method to calculate the slope of the regression line.
-    /// It also calculates and updates the Intercept, StdDev, RSquared, and Line properties.
-    /// If there are fewer than 2 data points, or if the sum of squared x deviations is 0,
-    /// the method returns 0 and sets the additional properties to null.
-    ///
-    /// Interpretation of results:
-    /// - Positive slope: Indicates an upward trend in the data.
-    /// - Negative slope: Indicates a downward trend in the data.
-    /// - Slope close to 0: Indicates a relatively flat or no clear trend in the data.
-    /// The magnitude of the slope represents the rate of change in the dependent variable
-    /// (y) for each unit change in the independent variable (x).
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
@@ -128,10 +114,9 @@ public class Slope : AbstractBase
         _timeBuffer.Add(Input.Time.Ticks, Input.IsNew);
 
         double slope = 0;
-
         if (_buffer.Count < 2)
         {
-            return slope; // Return 0 when there are fewer than 2 points
+            return slope; // Need at least 2 points
         }
 
         int count = Math.Min(_buffer.Count, _period);
@@ -147,7 +132,7 @@ public class Slope : AbstractBase
         double avgX = sumX / count;
         double avgY = sumY / count;
 
-        // Least squares method
+        // Least squares regression
         double sumSqX = 0, sumSqY = 0, sumSqXY = 0;
         for (int i = 0; i < count; i++)
         {
@@ -160,6 +145,7 @@ public class Slope : AbstractBase
 
         if (sumSqX > 0)
         {
+            // Calculate slope and related statistics
             slope = sumSqXY / sumSqX;
             Intercept = avgY - (slope * avgX);
 
@@ -174,7 +160,7 @@ public class Slope : AbstractBase
                 RSquared = r * r;
             }
 
-            // Calculate last Line value (y = mx + b)
+            // Calculate regression line endpoint
             Line = (slope * count) + Intercept;
         }
         else

lib/statistics/Stddev.cs

@@ -1,48 +1,63 @@
+using System;
+using System.Linq;
 namespace QuanTAlib;
 
 /// <summary>
-/// Represents a standard deviation calculator that measures the amount of variation or
+/// STDDEV: Standard Deviation Volatility Measure
-/// dispersion of a set of values.
+/// A statistical measure that quantifies the amount of variation or dispersion
+/// in a dataset. Standard deviation is widely used in finance as a measure of
+/// volatility and risk assessment.
 /// </summary>
 /// <remarks>
-/// The Stddev class calculates either the population standard deviation or the sample
+/// The StdDev calculation process:
-/// standard deviation based on the isPopulation parameter. It uses a circular buffer
+/// 1. Calculates mean of the data
-/// to efficiently manage the data points within the specified period.
+/// 2. Computes squared deviations from mean
+/// 3. Averages squared deviations
+/// 4. Takes square root of average
 ///
-/// In financial analysis, standard deviation is important for:
+/// Key characteristics:
-/// - Measuring volatility of financial instruments or portfolios.
+/// - Measures data dispersion
-/// - Assessing risk in investments.
+/// - Same units as input data
-/// - Calculating Sharpe ratios and other risk-adjusted performance measures.
+/// - Sensitive to outliers
-/// - Identifying potential outliers or unusual market behavior.
+/// - Population or sample versions
+/// - Key volatility indicator
+///
+/// Formula:
+/// Population: σ = √(Σ(x - μ)² / N)
+/// Sample: s = √(Σ(x - x̄)² / (n-1))
+/// where:
+/// x = values
+/// μ, x̄ = mean
+/// N, n = count
+///
+/// Market Applications:
+/// - Volatility measurement
+/// - Risk assessment
+/// - Bollinger Bands
+/// - Option pricing
+/// - Portfolio management
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Standard_deviation
+///     "Options, Futures, and Other Derivatives" - John C. Hull
+///
+/// Note: Foundation for many volatility-based indicators
 /// </remarks>
+
 public class Stddev : AbstractBase
 {
-    /// <summary>
-    /// Indicates whether to calculate population (true) or sample (false) standard deviation.
-    /// </summary>
     private readonly bool IsPopulation;
-
-    /// <summary>
-    /// Circular buffer to store the most recent data points.
-    /// </summary>
     private readonly CircularBuffer _buffer;
 
-    /// <summary>
+    /// <param name="period">The number of points to consider for standard deviation calculation.</param>
-    /// Initializes a new instance of the Stddev class with the specified period and
+    /// <param name="isPopulation">True for population stddev, false for sample stddev (default).</param>
-    /// population flag.
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 2.</exception>
-    /// </summary>
-    /// <param name="period">The period over which to calculate the standard deviation.</param>
-    /// <param name="isPopulation">
-    /// A flag indicating whether to calculate population (true) or sample (false) standard deviation.
-    /// </param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when period is less than 2.
-    /// </exception>
     public Stddev(int period, bool isPopulation = false)
     {
         if (period < 2)
         {
-            throw new ArgumentOutOfRangeException(nameof(period), "Period must be greater than or equal to 2.");
+            throw new ArgumentOutOfRangeException(nameof(period),
+                "Period must be greater than or equal to 2.");
         }
         IsPopulation = isPopulation;
         WarmupPeriod = 0;
@@ -51,34 +66,21 @@ public class Stddev : AbstractBase
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Stddev class with the specified source, period,
+    /// <param name="period">The number of points to consider for standard deviation calculation.</param>
-    /// and population flag.
+    /// <param name="isPopulation">True for population stddev, false for sample stddev (default).</param>
-    /// </summary>
-    /// <param name="source">The source object to subscribe to for value updates.</param>
-    /// <param name="period">The period over which to calculate the standard deviation.</param>
-    /// <param name="isPopulation">
-    /// A flag indicating whether to calculate population (true) or sample (false) standard deviation.
-    /// </param>
     public Stddev(object source, int period, bool isPopulation = false) : this(period, isPopulation)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Initializes the Stddev instance by clearing the buffer.
-    /// </summary>
     public override void Init()
     {
         base.Init();
         _buffer.Clear();
     }
 
-    /// <summary>
-    /// Manages the state of the Stddev instance based on whether a new value is being processed.
-    /// </summary>
-    /// <param name="isNew">Indicates whether the current input is a new value.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -88,28 +90,9 @@ public class Stddev : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the standard deviation calculation for the current period.
-    /// </summary>
-    /// <returns>
-    /// The calculated standard deviation value for the current period.
-    /// </returns>
-    /// <remarks>
-    /// This method calculates the standard deviation using the formula:
-    /// sqrt(sum((x - mean)^2) / n) for population, or
-    /// sqrt(sum((x - mean)^2) / (n - 1)) for sample,
-    /// where x is each value, mean is the average of all values, and n is the number of values.
-    /// If there's only one value in the buffer, the method returns 0.
-    ///
-    /// Interpretation of results:
-    /// - A low standard deviation indicates that the values tend to be close to the mean.
-    /// - A high standard deviation indicates that the values are spread out over a wider range.
-    /// - In financial contexts, higher standard deviation often implies higher volatility or risk.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
-
         _buffer.Add(Input.Value, Input.IsNew);
 
         double stddev = 0;
@@ -117,8 +100,11 @@ public class Stddev : AbstractBase
         {
             var values = _buffer.GetSpan().ToArray();
             double mean = values.Average();
+
+            // Calculate sum of squared deviations
             double sumOfSquaredDifferences = values.Sum(x => Math.Pow(x - mean, 2));
 
+            // Use appropriate divisor based on population/sample calculation
             double divisor = IsPopulation ? _buffer.Count : _buffer.Count - 1;
             double variance = sumOfSquaredDifferences / divisor;
             stddev = Math.Sqrt(variance);

lib/statistics/Variance.cs

@@ -1,48 +1,63 @@
+using System;
+using System.Linq;
 namespace QuanTAlib;
 
 /// <summary>
-/// Represents a variance calculator that measures the spread of a set of numbers
+/// VARIANCE: Squared Deviation Risk Measure
-/// from their average value.
+/// A statistical measure that quantifies the spread of data points around their
+/// mean value. Variance is fundamental to risk assessment and portfolio theory,
+/// providing the basis for many financial models.
 /// </summary>
 /// <remarks>
-/// The Variance class calculates either the population variance or the sample
+/// The Variance calculation process:
-/// variance based on the isPopulation parameter. It uses a circular buffer
+/// 1. Calculates mean of the data
-/// to efficiently manage the data points within the specified period.
+/// 2. Computes squared deviations from mean
+/// 3. Sums squared deviations
+/// 4. Divides by n or (n-1)
 ///
-/// In financial analysis, variance is important for:
+/// Key characteristics:
-/// - Measuring the dispersion of returns around the mean.
+/// - Measures data dispersion
-/// - Assessing risk and volatility in financial instruments or portfolios.
+/// - Squared units of input data
-/// - Serving as a basis for other risk measures like standard deviation and beta.
+/// - Always non-negative
-/// - Contributing to portfolio optimization techniques, such as Modern Portfolio Theory.
+/// - Population or sample versions
+/// - Foundation for risk metrics
+///
+/// Formula:
+/// Population: σ² = Σ(x - μ)² / N
+/// Sample: s² = Σ(x - x̄)² / (n-1)
+/// where:
+/// x = values
+/// μ, x̄ = mean
+/// N, n = count
+///
+/// Market Applications:
+/// - Portfolio optimization
+/// - Risk measurement
+/// - Modern Portfolio Theory
+/// - Asset allocation
+/// - Volatility analysis
+///
+/// Sources:
+///     Harry Markowitz - "Portfolio Selection" (1952)
+///     https://en.wikipedia.org/wiki/Variance
+///
+/// Note: Basis for Modern Portfolio Theory and risk models
 /// </remarks>
+
 public class Variance : AbstractBase
 {
-    /// <summary>
-    /// Indicates whether to calculate population (true) or sample (false) variance.
-    /// </summary>
     private readonly bool IsPopulation;
-
-    /// <summary>
-    /// Circular buffer to store the most recent data points.
-    /// </summary>
     private readonly CircularBuffer _buffer;
 
-    /// <summary>
+    /// <param name="period">The number of points to consider for variance calculation.</param>
-    /// Initializes a new instance of the Variance class with the specified period and
+    /// <param name="isPopulation">True for population variance, false for sample variance (default).</param>
-    /// population flag.
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 2.</exception>
-    /// </summary>
-    /// <param name="period">The period over which to calculate the variance.</param>
-    /// <param name="isPopulation">
-    /// A flag indicating whether to calculate population (true) or sample (false) variance.
-    /// </param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when period is less than 2.
-    /// </exception>
     public Variance(int period, bool isPopulation = false)
     {
         if (period < 2)
         {
-            throw new ArgumentOutOfRangeException(nameof(period), "Period must be greater than or equal to 2.");
+            throw new ArgumentOutOfRangeException(nameof(period),
+                "Period must be greater than or equal to 2.");
         }
         IsPopulation = isPopulation;
         WarmupPeriod = 0;
@@ -51,34 +66,21 @@ public class Variance : AbstractBase
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Variance class with the specified source, period,
+    /// <param name="period">The number of points to consider for variance calculation.</param>
-    /// and population flag.
+    /// <param name="isPopulation">True for population variance, false for sample variance (default).</param>
-    /// </summary>
-    /// <param name="source">The source object to subscribe to for value updates.</param>
-    /// <param name="period">The period over which to calculate the variance.</param>
-    /// <param name="isPopulation">
-    /// A flag indicating whether to calculate population (true) or sample (false) variance.
-    /// </param>
     public Variance(object source, int period, bool isPopulation = false) : this(period, isPopulation)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Initializes the Variance instance by clearing the buffer.
-    /// </summary>
     public override void Init()
     {
         base.Init();
         _buffer.Clear();
     }
 
-    /// <summary>
-    /// Manages the state of the Variance instance based on whether a new value is being processed.
-    /// </summary>
-    /// <param name="isNew">Indicates whether the current input is a new value.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -88,29 +90,9 @@ public class Variance : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the variance calculation for the current period.
-    /// </summary>
-    /// <returns>
-    /// The calculated variance value for the current period.
-    /// </returns>
-    /// <remarks>
-    /// This method calculates the variance using the formula:
-    /// sum((x - mean)^2) / n for population, or
-    /// sum((x - mean)^2) / (n - 1) for sample,
-    /// where x is each value, mean is the average of all values, and n is the number of values.
-    /// If there's only one value in the buffer, the method returns 0.
-    ///
-    /// Interpretation of results:
-    /// - A low variance indicates that the values tend to be close to the mean and to each other.
-    /// - A high variance indicates that the values are spread out over a wider range.
-    /// - In financial contexts, higher variance often implies higher volatility or risk.
-    /// - Variance is always non-negative, and its units are squared units of the original data.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
-
         _buffer.Add(Input.Value, Input.IsNew);
 
         double variance = 0;
@@ -118,8 +100,11 @@ public class Variance : AbstractBase
         {
             var values = _buffer.GetSpan().ToArray();
             double mean = values.Average();
+
+            // Calculate sum of squared deviations
             double sumOfSquaredDifferences = values.Sum(x => Math.Pow(x - mean, 2));
 
+            // Use appropriate divisor based on population/sample calculation
             double divisor = IsPopulation ? _buffer.Count : _buffer.Count - 1;
             variance = sumOfSquaredDifferences / divisor;
         }

lib/statistics/Zscore.cs

@@ -1,44 +1,61 @@
+using System;
+using System.Linq;
 namespace QuanTAlib;
 
 /// <summary>
-/// Represents a Z-score calculator that measures how many standard deviations
+/// ZSCORE: Standardized Distance Measure
-/// an element is from the mean of a set of values.
+/// A statistical measure that indicates how many standard deviations an observation
+/// is from the mean. Z-scores normalize data to a standard scale, making it useful
+/// for comparing values across different distributions.
 /// </summary>
 /// <remarks>
-/// The Zscore class calculates the Z-score (also known as standard score) for
+/// The Zscore calculation process:
-/// the most recent value in a given period. It uses a circular buffer to
+/// 1. Calculates mean of the period
-/// efficiently manage the data points within the specified period.
+/// 2. Computes standard deviation
+/// 3. Measures distance from mean
+/// 4. Normalizes by standard deviation
 ///
-/// In financial analysis, Z-score is important for:
+/// Key characteristics:
-/// - Identifying outliers or unusual price movements.
+/// - Scale-independent measure
-/// - Normalizing data across different scales or time periods.
+/// - Symmetric around zero
-/// - Assessing the relative position of a value within its historical distribution.
+/// - Normal distribution context
-/// - Supporting trading strategies based on mean reversion or momentum.
+/// - Outlier identification
+/// - Comparative analysis tool
+///
+/// Formula:
+/// Z = (x - μ) / σ
+/// where:
+/// x = current value
+/// μ = mean
+/// σ = standard deviation
+///
+/// Market Applications:
+/// - Mean reversion strategies
+/// - Overbought/oversold signals
+/// - Volatility breakouts
+/// - Cross-asset comparison
+/// - Statistical arbitrage
+///
+/// Sources:
+///     https://en.wikipedia.org/wiki/Standard_score
+///     "Statistical Analysis in Trading" - Technical Analysis
+///
+/// Note: Assumes approximately normal distribution
 /// </remarks>
+
 public class Zscore : AbstractBase
 {
-    /// <summary>
-    /// The number of data points to consider for the Z-score calculation.
-    /// </summary>
     private readonly int Period;
-
-    /// <summary>
-    /// Circular buffer to store the most recent data points.
-    /// </summary>
     private readonly CircularBuffer _buffer;
 
-    /// <summary>
+    /// <param name="period">The number of points to consider for Z-score calculation.</param>
-    /// Initializes a new instance of the Zscore class with the specified period.
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 2.</exception>
-    /// </summary>
-    /// <param name="period">The period over which to calculate the Z-score.</param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when period is less than 2.
-    /// </exception>
     public Zscore(int period)
     {
         if (period < 2)
         {
-            throw new ArgumentOutOfRangeException(nameof(period), "Period must be greater than or equal to 2 for Z-score calculation.");
+            throw new ArgumentOutOfRangeException(nameof(period),
+                "Period must be greater than or equal to 2 for Z-score calculation.");
         }
         Period = period;
         WarmupPeriod = 2;
@@ -47,30 +64,20 @@ public class Zscore : AbstractBase
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Zscore class with the specified source and period.
+    /// <param name="period">The number of points to consider for Z-score calculation.</param>
-    /// </summary>
-    /// <param name="source">The source object to subscribe to for value updates.</param>
-    /// <param name="period">The period over which to calculate the Z-score.</param>
     public Zscore(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Initializes the Zscore instance by clearing the buffer.
-    /// </summary>
     public override void Init()
     {
         base.Init();
         _buffer.Clear();
     }
 
-    /// <summary>
-    /// Manages the state of the Zscore instance based on whether a new value is being processed.
-    /// </summary>
-    /// <param name="isNew">Indicates whether the current input is a new value.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -80,44 +87,24 @@ public class Zscore : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the Z-score calculation for the current period.
-    /// </summary>
-    /// <returns>
-    /// The calculated Z-score value for the most recent input in the current period.
-    /// </returns>
-    /// <remarks>
-    /// This method calculates the Z-score using the formula:
-    /// Z = (x - μ) / σ
-    /// where x is the input value, μ is the mean of the period, and σ is the sample standard deviation.
-    /// If there are fewer than 2 data points or if the standard deviation is 0, the method returns 0.
-    ///
-    /// Interpretation of results:
-    /// - A Z-score of 0 indicates that the data point is exactly on the mean.
-    /// - A positive Z-score indicates the data point is above the mean.
-    /// - A negative Z-score indicates the data point is below the mean.
-    /// - The magnitude of the Z-score represents how many standard deviations away from the mean the data point is.
-    /// - In a normal distribution, about 68% of the values have a Z-score between -1 and 1,
-    ///   95% between -2 and 2, and 99.7% between -3 and 3.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
-
         _buffer.Add(Input.Value, Input.IsNew);
 
         double zScore = 0;
-        if (_buffer.Count >= 2)
+        if (_buffer.Count >= 2)  // Need at least 2 points for standard deviation
-        {  // We need at least 2 data points for Z-score
+        {
             var values = _buffer.GetSpan().ToArray();
             double mean = values.Average();
             double n = values.Length;
 
+            // Calculate sample standard deviation
             double sumSquaredDeviations = values.Sum(x => Math.Pow(x - mean, 2));
-            double standardDeviation = Math.Sqrt(sumSquaredDeviations / (n - 1));  // Sample standard deviation
+            double standardDeviation = Math.Sqrt(sumSquaredDeviations / (n - 1));
 
-            if (standardDeviation != 0)
+            if (standardDeviation != 0)  // Avoid division by zero
-            {  // Avoid division by zero
+            {
                 zScore = (Input.Value - mean) / standardDeviation;
             }
         }

lib/volatility/Atr.cs

@@ -1,51 +1,75 @@
+using System;
 namespace QuanTAlib;
 
 /// <summary>
-/// Represents an Average True Range (ATR) calculator, a measure of market volatility.
+/// ATR: Average True Range
+/// A technical indicator that measures market volatility by decomposing the entire
+/// range of an asset's price for a period. ATR accounts for gaps between periods
+/// and provides a comprehensive view of price volatility.
 /// </summary>
 /// <remarks>
-/// The ATR class calculates the average true range using a Relative Moving Average (RMA)
+/// The ATR calculation process:
-/// of the true range. The true range is the greatest of: current high - current low,
+/// 1. Calculates True Range (TR) as maximum of:
-/// absolute value of current high - previous close, or absolute value of current low - previous close.
+///    - Current High - Current Low
+///    - |Current High - Previous Close|
+///    - |Current Low - Previous Close|
+/// 2. Applies RMA smoothing to TR values
+/// 3. Updates with each new price bar
+/// 4. Adapts to changing volatility
+///
+/// Key characteristics:
+/// - Absolute price measure
+/// - Gap-inclusive calculation
+/// - Trend independent
+/// - Volatility focused
+/// - Smoothed output
+///
+/// Formula:
+/// TR = max(high-low, |high-prevClose|, |low-prevClose|)
+/// ATR = RMA(TR, period)
+///
+/// Market Applications:
+/// - Position sizing
+/// - Stop loss placement
+/// - Volatility breakouts
+/// - Risk assessment
+/// - Entry/exit timing
+///
+/// Sources:
+///     J. Welles Wilder - "New Concepts in Technical Trading Systems"
+///     https://www.investopedia.com/terms/a/atr.asp
+///
+/// Note: Higher ATR indicates higher volatility
 /// </remarks>
+
 public class Atr : AbstractBase
 {
     public double Tr { get; private set; }
     private readonly Rma _ma;
     private double _prevClose, _p_prevClose;
 
-    /// <summary>
+    /// <param name="period">The number of periods for ATR calculation.</param>
-    /// Initializes a new instance of the Atr class with the specified period.
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
-    /// </summary>
-    /// <param name="period">The period over which to calculate the ATR.</param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when period is less than 1.
-    /// </exception>
     public Atr(int period)
     {
         if (period < 1)
         {
-            throw new ArgumentOutOfRangeException(nameof(period), "Period must be greater than or equal to 1.");
+            throw new ArgumentOutOfRangeException(nameof(period),
+                "Period must be greater than or equal to 1.");
         }
         _ma = new(period, useSma: true);
         WarmupPeriod = _ma.WarmupPeriod;
         Name = $"ATR({period})";
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Atr class with the specified source and period.
+    /// <param name="period">The number of periods for ATR calculation.</param>
-    /// </summary>
-    /// <param name="source">The source object to subscribe to for bar updates.</param>
-    /// <param name="period">The period over which to calculate the ATR.</param>
     public Atr(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new BarSignal(Sub));
     }
 
-    /// <summary>
-    /// Initializes the Atr instance by setting up the initial state.
-    /// </summary>
     public override void Init()
     {
         base.Init();
@@ -54,10 +78,6 @@ public class Atr : AbstractBase
         Tr = 0;
     }
 
-    /// <summary>
-    /// Manages the state of the Atr instance based on whether a new bar is being processed.
-    /// </summary>
-    /// <param name="isNew">Indicates whether the current input is a new bar.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -71,28 +91,19 @@ public class Atr : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the ATR calculation for the current bar.
-    /// </summary>
-    /// <returns>
-    /// The calculated ATR value for the current bar.
-    /// </returns>
-    /// <remarks>
-    /// This method calculates the true range for the current bar and then uses an RMA
-    /// to smooth the true range values. For the first bar, it uses the high-low range
-    /// as the true range.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(BarInput.IsNew);
 
         if (_index == 1)
         {
+            // First bar uses simple high-low range
             Tr = BarInput.High - BarInput.Low;
             _prevClose = BarInput.Close;
         }
         else
         {
+            // Calculate True Range as maximum of three measures
             Tr = Math.Max(
                 BarInput.High - BarInput.Low,
                 Math.Max(
@@ -101,6 +112,8 @@ public class Atr : AbstractBase
                 )
             );
         }
+
+        // Apply RMA smoothing to True Range
         _ma.Calc(new TValue(Input.Time, Tr, BarInput.IsNew));
 
         IsHot = _ma.IsHot;

lib/volatility/Hv.cs

@@ -1,14 +1,49 @@
+using System;
+using System.Linq;
 namespace QuanTAlib;
 
 /// <summary>
-/// Represents a historical volatility calculator that measures the dispersion of returns
+/// HV: Historical Volatility
-/// for a given security or market index over a specific period.
+/// A statistical measure that calculates the dispersion of returns over time,
+/// providing insights into past price variability. Historical volatility is
+/// fundamental to options pricing and risk assessment.
 /// </summary>
 /// <remarks>
-/// The Historical class calculates volatility based on logarithmic returns. It can provide
+/// The HV calculation process:
-/// both annualized and non-annualized volatility measures. The calculation uses a sample
+/// 1. Computes daily log returns
-/// standard deviation formula and assumes 252 trading days in a year for annualization.
+/// 2. Calculates standard deviation
+/// 3. Annualizes if specified
+/// 4. Uses sample variance formula
+///
+/// Key characteristics:
+/// - Backward-looking measure
+/// - Log-return based
+/// - Optional annualization
+/// - Sample-based calculation
+/// - Trading-day adjusted
+///
+/// Formula:
+/// HV = √[(Σ(ln(P[t]/P[t-1]) - μ)²)/(n-1)] * √252
+/// where:
+/// P = price
+/// μ = mean of log returns
+/// n = number of observations
+/// 252 = trading days per year
+///
+/// Market Applications:
+/// - Options pricing
+/// - Risk assessment
+/// - Trading ranges
+/// - Portfolio management
+/// - Volatility trading
+///
+/// Sources:
+///     Black-Scholes Option Pricing Model
+///     https://en.wikipedia.org/wiki/Volatility_(finance)
+///
+/// Note: Assumes 252 trading days for annualization
 /// </remarks>
+
 public class Hv : AbstractBase
 {
     private readonly int Period;
@@ -17,44 +52,34 @@ public class Hv : AbstractBase
     private readonly CircularBuffer _logReturns;
     private double _previousClose;
 
-    /// <summary>
+    /// <param name="period">The number of periods for volatility calculation.</param>
-    /// Initializes a new instance of the Historical class with the specified period and annualization flag.
+    /// <param name="isAnnualized">Whether to annualize the result (default true).</param>
-    /// </summary>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 2.</exception>
-    /// <param name="period">The period over which to calculate historical volatility.</param>
-    /// <param name="isAnnualized">Whether to annualize the volatility (default is true).</param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when period is less than 2.
-    /// </exception>
     public Hv(int period, bool isAnnualized = true)
     {
         if (period < 2)
         {
-            throw new ArgumentOutOfRangeException(nameof(period), "Period must be greater than or equal to 2.");
+            throw new ArgumentOutOfRangeException(nameof(period),
+                "Period must be greater than or equal to 2.");
         }
         Period = period;
         IsAnnualized = isAnnualized;
-        WarmupPeriod = period + 1;  // We need one extra data point to calculate the first return
+        WarmupPeriod = period + 1;  // Need extra point for first return
         _buffer = new CircularBuffer(period + 1);
         _logReturns = new CircularBuffer(period);
         Name = $"Historical(period={period}, annualized={isAnnualized})";
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Historical class with the specified source, period, and annualization flag.
+    /// <param name="period">The number of periods for volatility calculation.</param>
-    /// </summary>
+    /// <param name="isAnnualized">Whether to annualize the result (default true).</param>
-    /// <param name="source">The source object to subscribe to for value updates.</param>
-    /// <param name="period">The period over which to calculate historical volatility.</param>
-    /// <param name="isAnnualized">Whether to annualize the volatility (default is true).</param>
     public Hv(object source, int period, bool isAnnualized = true) : this(period, isAnnualized)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Initializes the Historical instance by clearing buffers and resetting the previous close value.
-    /// </summary>
     public override void Init()
     {
         base.Init();
@@ -63,10 +88,6 @@ public class Hv : AbstractBase
         _previousClose = 0;
     }
 
-    /// <summary>
-    /// Manages the state of the Historical instance based on whether a new value is being processed.
-    /// </summary>
-    /// <param name="isNew">Indicates whether the current input is a new value.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -76,47 +97,35 @@ public class Hv : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the historical volatility calculation for the current period.
-    /// </summary>
-    /// <returns>
-    /// The calculated historical volatility value for the current period.
-    /// </returns>
-    /// <remarks>
-    /// This method calculates the volatility using the following steps:
-    /// 1. Compute logarithmic returns.
-    /// 2. Calculate the sample standard deviation of the log returns.
-    /// 3. If annualized, multiply by the square root of 252 (assumed trading days in a year).
-    /// The method returns 0 until enough data points are available for the calculation.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
-
         _buffer.Add(Input.Value, Input.IsNew);
 
         double volatility = 0;
         if (_buffer.Count > 1)
         {
+            // Calculate log return if we have previous close
             if (_previousClose != 0)
             {
                 double logReturn = Math.Log(Input.Value / _previousClose);
                 _logReturns.Add(logReturn, Input.IsNew);
             }
 
+            // Calculate volatility when we have enough returns
             if (_logReturns.Count == Period)
             {
                 var returns = _logReturns.GetSpan().ToArray();
                 double mean = returns.Average();
                 double sumOfSquaredDifferences = returns.Sum(x => Math.Pow(x - mean, 2));
 
-                double variance = sumOfSquaredDifferences / (Period - 1);  // Using sample standard deviation
+                // Sample standard deviation
+                double variance = sumOfSquaredDifferences / (Period - 1);
                 volatility = Math.Sqrt(variance);
 
                 if (IsAnnualized)
                 {
-                    // Assuming 252 trading days in a year. Adjust as needed.
+                    volatility *= Math.Sqrt(252); // Annualize using trading days
-                    volatility *= Math.Sqrt(252);
                 }
             }
         }

lib/volatility/Jvolty.cs

@@ -1,9 +1,46 @@
-/// <summary>
+using System;
-/// Represents a Jurik Volatility (Jvolty) calculator, a measure of market volatility based on Jurik Moving Average (JMA) concepts.
-/// </summary>
-
 namespace QuanTAlib;
 
+/// <summary>
+/// JVOLTY: Jurik Volatility
+/// An advanced volatility measure developed by Mark Jurik that combines adaptive
+/// bands with JMA smoothing. JVOLTY provides a sophisticated approach to measuring
+/// market volatility with reduced noise and better responsiveness.
+/// </summary>
+/// <remarks>
+/// The JVOLTY calculation process:
+/// 1. Calculates adaptive price bands
+/// 2. Measures volatility from band distances
+/// 3. Applies volatility normalization
+/// 4. Uses JMA-style smoothing
+/// 5. Provides multiple outputs
+///
+/// Key characteristics:
+/// - Adaptive measurement
+/// - Noise reduction
+/// - Multiple timeframe analysis
+/// - Price band integration
+/// - Volatility normalization
+///
+/// Formula:
+/// volty = max(|price - upperBand|, |price - lowerBand|)
+/// bands = adaptive calculation using Jurik's methods
+/// final = JMA smoothing of normalized volatility
+///
+/// Market Applications:
+/// - Dynamic position sizing
+/// - Adaptive stop placement
+/// - Volatility breakout systems
+/// - Risk management
+/// - Market regime detection
+///
+/// Sources:
+///     Mark Jurik Research
+///     https://www.jurikresearch.com/
+///
+/// Note: Proprietary enhancement of volatility measurement
+/// </remarks>
+
 public class Jvolty : AbstractBase
 {
     private readonly int _period;
@@ -18,7 +55,6 @@ public class Jvolty : AbstractBase
     private double _prevMa1, _prevDet0, _prevDet1, _prevJma, _p_prevMa1, _p_prevDet0, _p_prevDet1, _p_prevJma;
     private double _vSum, _p_vSum;
 
-
     public double UpperBand { get; set; }
     public double LowerBand { get; set; }
     public double Volty { get; set; }
@@ -26,21 +62,15 @@ public class Jvolty : AbstractBase
     public double Jma { get; set; }
     public double AvgVolty { get; set; }
 
-
+    /// <param name="period">The number of periods for volatility calculation.</param>
-    /// <summary>
+    /// <param name="phase">Phase parameter for JMA smoothing (default 0).</param>
-    /// Initializes a new instance of the Jvolty class with the specified parameters.
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
-    /// </summary>
-    /// <param name="period">The period over which to calculate the Jvolty.</param>
-    /// <param name="phase">The phase parameter for the JMA-style calculation.</param>
-    /// <param name="vshort">The short-term volatility period.</param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when period is less than 1.
-    /// </exception>
     public Jvolty(int period, int phase = 0)
     {
         if (period < 1)
         {
-            throw new ArgumentOutOfRangeException(nameof(period), "Period must be greater than or equal to 1.");
+            throw new ArgumentOutOfRangeException(nameof(period),
+                "Period must be greater than or equal to 1.");
         }
         _period = period;
         _phase = Math.Clamp((phase * 0.01) + 1.5, 0.5, 2.5);
@@ -53,22 +83,15 @@ public class Jvolty : AbstractBase
         Name = $"JVOLTY({period})";
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Jvolty class with the specified source and parameters.
+    /// <param name="period">The number of periods for volatility calculation.</param>
-    /// </summary>
+    /// <param name="phase">Phase parameter for JMA smoothing (default 0).</param>
-    /// <param name="source">The source object to subscribe to for bar updates.</param>
-    /// <param name="period">The period over which to calculate the Jvolty.</param>
-    /// <param name="phase">The phase parameter for the JMA-style calculation.</param>
-    /// <param name="vshort">The short-term volatility period.</param>
     public Jvolty(object source, int period, int phase = 0) : this(period, phase)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new BarSignal(Sub));
     }
 
-    /// <summary>
-    /// Initializes the Jvolty instance by setting up the initial state.
-    /// </summary>
     public override void Init()
     {
         base.Init();
@@ -80,10 +103,6 @@ public class Jvolty : AbstractBase
         _vsumBuff.Clear();
     }
 
-    /// <summary>
-    /// Manages the state of the Jvolty instance based on whether a new bar is being processed.
-    /// </summary>
-    /// <param name="isNew">Indicates whether the current input is a new bar.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -109,12 +128,6 @@ public class Jvolty : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the Jvolty calculation for the current bar.
-    /// </summary>
-    /// <returns>
-    /// The calculated Jvolty value for the current bar.
-    /// </returns>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
@@ -125,26 +138,29 @@ public class Jvolty : AbstractBase
             _upperBand = _lowerBand = price;
         }
 
+        // Calculate volatility from band distances
         double del1 = price - _upperBand;
         double del2 = price - _lowerBand;
         double volty = Math.Max(Math.Abs(del1), Math.Abs(del2));
 
+        // Calculate moving averages of volatility
         _vsumBuff.Add(volty, Input.IsNew);
         _vSum += (_vsumBuff[^1] - _vsumBuff[0]) / 10;
         _avoltyBuff.Add(_vSum, Input.IsNew);
         double avgvolty = _avoltyBuff.Average();
 
+        // Normalize and adjust volatility
         double rvolty = (avgvolty > 0) ? volty / avgvolty : 1;
         rvolty = Math.Min(Math.Max(rvolty, 1.0), Math.Pow(_len1, 1.0 / _pow1));
 
         double pow2 = Math.Pow(rvolty, _pow1);
         double Kv = Math.Pow(_beta, Math.Sqrt(pow2));
 
+        // Update adaptive bands
         _upperBand = (del1 >= 0) ? price : price - (Kv * del1);
         _lowerBand = (del2 <= 0) ? price : price - (Kv * del2);
 
-
+        // Apply JMA smoothing
-
         double alpha = Math.Pow(_beta, pow2);
         double ma1 = (1 - alpha) * Input.Value + alpha * _prevMa1;
         _prevMa1 = ma1;
@@ -153,11 +169,12 @@ public class Jvolty : AbstractBase
         _prevDet0 = det0;
         double ma2 = ma1 + _phase * det0;
 
-        double det1 = ((ma2 - _prevJma) * (1 - alpha) * (1 - alpha) ) + (alpha * alpha * _prevDet1);
+        double det1 = ((ma2 - _prevJma) * (1 - alpha) * (1 - alpha)) + (alpha * alpha * _prevDet1);
         _prevDet1 = det1;
         double jma = _prevJma + det1;
         _prevJma = jma;
 
+        // Update public properties
         UpperBand = _upperBand;
         LowerBand = _lowerBand;
         Volty = volty;
@@ -169,5 +186,3 @@ public class Jvolty : AbstractBase
         return volty;
     }
 }
-
-

lib/volatility/Rv.cs

@@ -1,14 +1,48 @@
+using System;
 namespace QuanTAlib;
 
 /// <summary>
-/// Represents a realized volatility calculator that measures the actual price fluctuations
+/// RV: Realized Volatility
-/// observed in the market over a specific period.
+/// A precise volatility measure that captures actual observed price fluctuations
+/// using high-frequency returns. RV provides a more accurate assessment of true
+/// market volatility compared to traditional estimators.
 /// </summary>
 /// <remarks>
-/// The Realized class calculates volatility based on logarithmic returns. It can provide
+/// The RV calculation process:
-/// both annualized and non-annualized volatility measures. The calculation uses a rolling
+/// 1. Computes log returns
-/// sum of squared returns for efficiency and assumes 252 trading days in a year for annualization.
+/// 2. Squares each return
+/// 3. Maintains rolling sum
+/// 4. Takes square root of average
+/// 5. Optionally annualizes
+///
+/// Key characteristics:
+/// - Model-free measurement
+/// - High-frequency capable
+/// - Rolling calculation
+/// - Memory efficient
+/// - Optional annualization
+///
+/// Formula:
+/// RV = √(Σ(ln(P[t]/P[t-1]))²/n) * √252
+/// where:
+/// P = price
+/// n = number of observations
+/// 252 = trading days per year
+///
+/// Market Applications:
+/// - High-frequency trading
+/// - Options pricing
+/// - Risk forecasting
+/// - Market microstructure
+/// - Volatility trading
+///
+/// Sources:
+///     Andersen, Bollerslev - "Answering the Skeptics"
+///     https://en.wikipedia.org/wiki/Realized_volatility
+///
+/// Note: Efficient implementation using rolling sums
 /// </remarks>
+
 public class Rv : AbstractBase
 {
     private readonly int Period;
@@ -17,43 +51,33 @@ public class Rv : AbstractBase
     private double _previousClose;
     private double _sumSquaredReturns;
 
-    /// <summary>
+    /// <param name="period">The number of periods for volatility calculation.</param>
-    /// Initializes a new instance of the Realized class with the specified period and annualization flag.
+    /// <param name="isAnnualized">Whether to annualize the result (default true).</param>
-    /// </summary>
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 2.</exception>
-    /// <param name="period">The period over which to calculate realized volatility.</param>
-    /// <param name="isAnnualized">Whether to annualize the volatility (default is true).</param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when period is less than 2.
-    /// </exception>
     public Rv(int period, bool isAnnualized = true)
     {
         if (period < 2)
         {
-            throw new ArgumentOutOfRangeException(nameof(period), "Period must be greater than or equal to 2.");
+            throw new ArgumentOutOfRangeException(nameof(period),
+                "Period must be greater than or equal to 2.");
         }
         Period = period;
         IsAnnualized = isAnnualized;
-        WarmupPeriod = period + 1;  // We need one extra data point to calculate the first return
+        WarmupPeriod = period + 1;  // Need extra point for first return
         _returns = new CircularBuffer(period);
         Name = $"Realized(period={period}, annualized={isAnnualized})";
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Realized class with a data source.
+    /// <param name="period">The number of periods for volatility calculation.</param>
-    /// </summary>
+    /// <param name="isAnnualized">Whether to annualize the result (default true).</param>
-    /// <param name="source">The source object that publishes data.</param>
-    /// <param name="period">The period over which to calculate realized volatility.</param>
-    /// <param name="isAnnualized">Whether to annualize the volatility (default is true).</param>
     public Rv(object source, int period, bool isAnnualized = true) : this(period, isAnnualized)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Initializes the Realized instance by clearing buffers and resetting calculation variables.
-    /// </summary>
     public override void Init()
     {
         base.Init();
@@ -62,10 +86,6 @@ public class Rv : AbstractBase
         _sumSquaredReturns = 0;
     }
 
-    /// <summary>
-    /// Manages the state of the Realized instance based on whether a new value is being processed.
-    /// </summary>
-    /// <param name="isNew">Indicates whether the current input is a new value.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -75,21 +95,6 @@ public class Rv : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the realized volatility calculation for the current period.
-    /// </summary>
-    /// <returns>
-    /// The calculated realized volatility value for the current period.
-    /// </returns>
-    /// <remarks>
-    /// This method calculates the volatility using the following steps:
-    /// 1. Compute logarithmic returns.
-    /// 2. Maintain a rolling sum of squared returns.
-    /// 3. Calculate the variance using the sum of squared returns.
-    /// 4. Take the square root of the variance to get volatility.
-    /// 5. If annualized, multiply by the square root of 252 (assumed trading days in a year).
-    /// The method returns 0 until enough data points are available for the calculation.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
@@ -97,26 +102,28 @@ public class Rv : AbstractBase
         double volatility = 0;
         if (_previousClose != 0)
         {
+            // Calculate log return
             double logReturn = Math.Log(Input.Value / _previousClose);
 
             if (_returns.Count == Period)
             {
-                // Remove the oldest squared return from the sum
+                // Maintain rolling sum by removing oldest squared return
                 _sumSquaredReturns -= Math.Pow(_returns[0], 2);
             }
 
+            // Add new return and update sum
             _returns.Add(logReturn, Input.IsNew);
             _sumSquaredReturns += Math.Pow(logReturn, 2);
 
             if (_returns.Count == Period)
             {
+                // Calculate realized volatility
                 double variance = _sumSquaredReturns / Period;
                 volatility = Math.Sqrt(variance);
 
                 if (IsAnnualized)
                 {
-                    // Assuming 252 trading days in a year. Adjust as needed.
+                    volatility *= Math.Sqrt(252); // Annualize using trading days
-                    volatility *= Math.Sqrt(252);
                 }
             }
         }

lib/volatility/Rvi.cs

@@ -1,36 +1,61 @@
+using System;
 namespace QuanTAlib;
 
 /// <summary>
-/// Represents a Relative Volatility Index (RVI) calculator, which measures the direction
+/// RVI: Relative Volatility Index
-/// of volatility in relation to price movements.
+/// A technical indicator developed by Donald Dorsey that measures the direction
+/// of volatility by comparing upward and downward price movements. RVI helps
+/// identify whether volatility is increasing more in up or down moves.
 /// </summary>
 /// <remarks>
-/// The RVI was introduced by Donald Dorsey in the 1993 issue of Technical Analysis
+/// The RVI calculation process:
-/// of Stocks &amp; Commodities Magazine. It focuses on the direction of price movements
+/// 1. Separates price changes into up/down moves
-/// in relation to volatility. The indicator uses standard deviation calculations
+/// 2. Calculates standard deviation for each
-/// to determine whether volatility is increasing more in up moves or down moves.
+/// 3. Applies moving average smoothing
+/// 4. Computes relative strength ratio
+/// 5. Scales to percentage (0-100)
 ///
-/// This implementation uses a combination of Standard Deviation and Simple Moving Average
+/// Key characteristics:
-/// calculations to compute the RVI.
+/// - Oscillator (0-100 range)
+/// - Directional volatility measure
+/// - Combines volatility and momentum
+/// - Uses standard deviation
+/// - Smoothed output
+///
+/// Formula:
+/// RVI = 100 * SMA(StdDev(upMoves)) / (SMA(StdDev(upMoves)) + SMA(StdDev(downMoves)))
+/// where:
+/// upMove = max(close - prevClose, 0)
+/// downMove = max(prevClose - close, 0)
+///
+/// Market Applications:
+/// - Trend confirmation
+/// - Divergence analysis
+/// - Volatility breakouts
+/// - Market reversals
+/// - Overbought/oversold levels
+///
+/// Sources:
+///     Donald Dorsey - "Technical Analysis of Stocks & Commodities" (1993)
+///     https://www.investopedia.com/terms/r/relative_volatility_index.asp
+///
+/// Note: Similar concept to RSI but using volatility
 /// </remarks>
+
 public class Rvi : AbstractBase
 {
     private readonly Stddev _upStdDev, _downStdDev;
     private readonly Sma _upSma, _downSma;
     private double _previousClose;
 
-    /// <summary>
+    /// <param name="period">The number of periods for RVI calculation.</param>
-    /// Initializes a new instance of the Rvi class with the specified period.
+    /// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 2.</exception>
-    /// </summary>
-    /// <param name="period">The period over which to calculate the RVI.</param>
-    /// <exception cref="ArgumentOutOfRangeException">
-    /// Thrown when period is less than 2.
-    /// </exception>
     public Rvi(int period)
     {
         if (period < 2)
         {
-            throw new ArgumentOutOfRangeException(nameof(period), "Period must be greater than or equal to 2.");
+            throw new ArgumentOutOfRangeException(nameof(period),
+                "Period must be greater than or equal to 2.");
         }
         int Period = period;
         WarmupPeriod = period;
@@ -42,30 +67,20 @@ public class Rvi : AbstractBase
         Init();
     }
 
-    /// <summary>
+    /// <param name="source">The data source object that publishes updates.</param>
-    /// Initializes a new instance of the Rvi class with the specified source and period.
+    /// <param name="period">The number of periods for RVI calculation.</param>
-    /// </summary>
-    /// <param name="source">The source object to subscribe to for value updates.</param>
-    /// <param name="period">The period over which to calculate the RVI.</param>
     public Rvi(object source, int period) : this(period)
     {
         var pubEvent = source.GetType().GetEvent("Pub");
         pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
     }
 
-    /// <summary>
-    /// Initializes the Rvi instance by setting up the initial state.
-    /// </summary>
     public override void Init()
     {
         base.Init();
         _previousClose = 0;
     }
 
-    /// <summary>
-    /// Manages the state of the Rvi instance based on whether a new value is being processed.
-    /// </summary>
-    /// <param name="isNew">Indicates whether the current input is a new value.</param>
     protected override void ManageState(bool isNew)
     {
         if (isNew)
@@ -75,21 +90,6 @@ public class Rvi : AbstractBase
         }
     }
 
-    /// <summary>
-    /// Performs the RVI calculation for the current input.
-    /// </summary>
-    /// <returns>
-    /// The calculated RVI value for the current input.
-    /// </returns>
-    /// <remarks>
-    /// This method calculates the RVI using the following steps:
-    /// 1. Calculate the change in price from the previous close.
-    /// 2. Determine the up move and down move based on the change.
-    /// 3. Calculate standard deviations of up and down moves.
-    /// 4. Apply a simple moving average to the standard deviations.
-    /// 5. Compute the RVI as a percentage of up volatility to total volatility.
-    /// The method returns 0 if the sum of up and down volatility is zero.
-    /// </remarks>
     protected override double Calculation()
     {
         ManageState(Input.IsNew);
@@ -97,14 +97,19 @@ public class Rvi : AbstractBase
         double close = Input.Value;
         double change = close - _previousClose;
 
+        // Separate into up and down moves
         double upMove = Math.Max(change, 0);
         double downMove = Math.Max(-change, 0);
 
+        // Calculate standard deviations and apply smoothing
         _upSma.Calc(_upStdDev.Calc(new TValue(Input.Time, upMove, Input.IsNew)));
         _downSma.Calc(_downStdDev.Calc(new TValue(Input.Time, downMove, Input.IsNew)));
 
+        // Calculate RVI ratio
         double rvi;
-        rvi = (_upSma.Value + _downSma.Value != 0) ? 100 * _upSma.Value / (_upSma.Value + _downSma.Value) : 0;
+        rvi = (_upSma.Value + _downSma.Value != 0)
+            ? 100 * _upSma.Value / (_upSma.Value + _downSma.Value)
+            : 0;
 
         _previousClose = close;
         IsHot = _index >= WarmupPeriod;