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XML Documentation
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@@ -1,17 +1,28 @@
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namespace QuanTAlib;
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using System;
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using System.Linq;
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public class Skew : AbstractBase
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{
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/// <summary>
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/// Represents a skewness calculator that measures the asymmetry of the probability
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/// distribution of a real-valued random variable about its mean.
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/// </summary>
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/// <remarks>
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/// The Skew class uses a circular buffer to store values and calculates the skewness
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/// efficiently. It uses the adjusted Fisher-Pearson standardized moment coefficient
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/// for sample skewness calculation. A minimum of 3 data points is required for the
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/// calculation.
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/// </remarks>
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public class Skew : AbstractBase {
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private readonly int Period;
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private readonly CircularBuffer _buffer;
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public Skew(int period) : base()
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{
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if (period < 3)
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{
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/// <summary>
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/// Initializes a new instance of the Skew class with the specified period.
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/// </summary>
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/// <param name="period">The period over which to calculate the skewness.</param>
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/// <exception cref="ArgumentOutOfRangeException">
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/// Thrown when period is less than 3.
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/// </exception>
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public Skew(int period) : base() {
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if (period < 3) {
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throw new ArgumentOutOfRangeException(nameof(period), "Period must be greater than or equal to 3 for skewness calculation.");
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}
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Period = period;
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@@ -21,36 +32,54 @@ public class Skew : AbstractBase
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Init();
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}
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public Skew(object source, int period) : this(period)
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{
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/// <summary>
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/// Initializes a new instance of the Skew class with the specified source and period.
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/// </summary>
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/// <param name="source">The source object to subscribe to for value updates.</param>
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/// <param name="period">The period over which to calculate the skewness.</param>
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public Skew(object source, int period) : this(period) {
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var pubEvent = source.GetType().GetEvent("Pub");
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pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
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}
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public override void Init()
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{
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/// <summary>
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/// Initializes the Skew instance by clearing the buffer.
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/// </summary>
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public override void Init() {
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base.Init();
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_buffer.Clear();
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}
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protected override void ManageState(bool isNew)
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{
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if (isNew)
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{
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/// <summary>
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/// Manages the state of the Skew instance based on whether a new value is being processed.
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/// </summary>
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/// <param name="isNew">Indicates whether the current input is a new value.</param>
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protected override void ManageState(bool isNew) {
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if (isNew) {
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_lastValidValue = Input.Value;
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_index++;
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}
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}
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protected override double Calculation()
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{
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/// <summary>
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/// Performs the skewness calculation for the current period.
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/// </summary>
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/// <returns>
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/// The calculated skewness value for the current period.
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/// </returns>
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/// <remarks>
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/// This method uses the adjusted Fisher-Pearson standardized moment coefficient
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/// to calculate the sample skewness. It requires at least 3 data points for the
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/// calculation. If there are fewer than 3 data points, or if the standard
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/// deviation is zero, the method returns 0.
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/// </remarks>
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protected override double Calculation() {
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ManageState(Input.IsNew);
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_buffer.Add(Input.Value, Input.IsNew);
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double skew = 0;
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if (_buffer.Count >= 3) // We need at least 3 data points for skewness
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{
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if (_buffer.Count >= 3) { // We need at least 3 data points for skewness
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var values = _buffer.GetSpan().ToArray();
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double mean = values.Average();
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double n = values.Length;
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@@ -58,8 +87,7 @@ public class Skew : AbstractBase
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double sumCubedDeviations = 0;
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double sumSquaredDeviations = 0;
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foreach (var value in values)
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{
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foreach (var value in values) {
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double deviation = value - mean;
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sumCubedDeviations += Math.Pow(deviation, 3);
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sumSquaredDeviations += Math.Pow(deviation, 2);
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@@ -70,8 +98,7 @@ public class Skew : AbstractBase
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double m2 = sumSquaredDeviations / n;
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double s3 = Math.Pow(m2, 1.5);
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if (s3 != 0) // Avoid division by zero
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{
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if (s3 != 0) { // Avoid division by zero
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skew = (Math.Sqrt(n * (n - 1)) / (n - 2)) * (m3 / s3);
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}
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}
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