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docs/indicators.md
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@@ -6,6 +6,7 @@ QuanTAlib provides technical indicators organized into mathematical families. Un
| Category | What It Measures | Representative Indicators | When to Reach for It |
| :------- | :--------------- | :------------------------ | :------------------- |
| [**Core**](../lib/core/_index.md) | Price transforms and fundamental building blocks | AVGPRICE, MEDPRICE, MIDPRICE, TYPPRICE, WCLPRICE, MIDPOINT | Derived prices from OHLCV bars. Inputs to higher-order indicators. |
| [**Trends (FIR)**](../lib/trends_FIR/_index.md) | Trend direction via finite impulse response filters | SMA, WMA, ALMA, HMA, LSMA | Trend identification with predictable lag and finite memory. Output depends only on a fixed window of past prices. |
| [**Trends (IIR)**](../lib/trends_IIR/_index.md) | Trend direction via infinite impulse response filters | EMA, DEMA, TEMA, JMA, KAMA, MAMA | Trend identification with recursive calculation and theoretically infinite memory. More responsive per unit of smoothness. |
| [**Filters**](../lib/filters/_index.md) | Signal processing filters for noise reduction | Bessel, Butterworth, Super Smoother | Removing noise while preserving trend structure. Designed by engineers, borrowed by traders. |
@@ -19,7 +20,7 @@ QuanTAlib provides technical indicators organized into mathematical families. Un
| [**Numerics**](../lib/numerics/_index.md) | Mathematical transformations and signal processing | Slope, Accel, Normalize, Sigmoid | Custom indicator development and advanced signal processing. Building blocks for novel indicators. |
| [**Errors**](../lib/errors/_index.md) | Measurement accuracy and model fit quality | MAE, RMSE, R², Huber | Model validation and forecast assessment. Quantifying wrongness before production quantifies losses. |
| [**Forecasts**](../lib/forecasts/_index.md) | Future price prediction and projection | AFIRMA | Projecting price based on historical patterns. Predictions that invite humility. |
| [**Cycles**](../lib/cycles/_index.md) | Periodic patterns and dominant frequencies | Hilbert Transform, EBSW, STC | Identifying cyclical market behavior. Markets exhibit cycles; detecting them reliably remains hard. |
| [**Cycles**](../lib/cycles/_index.md) | Periodic patterns and dominant frequencies | Hilbert Transform, EBSW | Identifying cyclical market behavior. Markets exhibit cycles; detecting them reliably remains hard. |
| [**Reversals**](../lib/reversals/_index.md) | Turning points and stop levels | Pivot Points, PSAR, Chandelier, Swings | Identifying potential trend reversals, computing adaptive stops, and defining support/resistance. |
## Selection by Experience Level
@@ -74,7 +75,7 @@ Infinite Impulse Response filters. Output depends on current input and past outp
| [**FRAMA**](../lib/trends_IIR/frama/Frama.md) | Ehlers Fractal Adaptive MA | Dimension-based adaptation |
| [**HEMA**](../lib/trends_IIR/hema/Hema.md) | Hull Exponential MA | Hull concept with EMA |
| [**HOLT**](../lib/trends_IIR/holt/Holt.md) | Holt Exponential Smoothing | Double exponential smoothing (level + trend) |
| [**HTIT**](../lib/trends_IIR/htit/Htit.md) | Ehlers Hilbert Instantaneous Trend | Dominant cycle extraction |
| [**HTIT**](../lib/trends_IIR/htit/Htit.md) | Ehlers Hilbert Instantaneous Trend (also known as HT_TRENDLINE) | Dominant cycle extraction |
| [**JMA**](../lib/trends_IIR/jma/Jma.md) | Jurik MA | Adaptive, low-lag, proprietary algorithm |
| [**KAMA**](../lib/trends_IIR/kama/Kama.md) | Kaufman Adaptive MA | Efficiency ratio adaptation |
| [**MAMA**](../lib/trends_IIR/mama/Mama.md) | Ehlers MESA Adaptive MA | Homodyne discriminator based |
@@ -85,7 +86,6 @@ Infinite Impulse Response filters. Output depends on current input and past outp
| [**HWMA**](../lib/trends_IIR/hwma/Hwma.md) | Holt-Winters MA | Triple exponential smoothing (IIR) |
| [**QEMA**](../lib/trends_IIR/qema/Qema.md) | Quad Exponential MA | Four-stage exponential |
| [**REMA**](../lib/trends_IIR/rema/Rema.md) | Regularized Exponential MA | Regularization for stability |
| [**REVERSEEMA**](../lib/trends_IIR/reverseema/ReverseEma.md) | Reverse EMA | Inverse EMA deconvolution |
| [**RGMA**](../lib/trends_IIR/rgma/Rgma.md) | Recursive Gaussian MA | Gaussian approximation |
| [**RMA**](../lib/trends_IIR/rma/Rma.md) | WildeR MA | Wilder's smoothing (1/n decay) |
| [**T3**](../lib/trends_IIR/t3/T3.md) | Tillson T3 MA | Six-stage DEMA variant |
@@ -104,6 +104,7 @@ Signal processing filters adapted for financial time series. Designed to separat
| Indicator | Full Name | Notes |
| :-------- | :-------- | :---- |
| [**AGC**](../lib/filters/agc/Agc.md) | Ehlers Automatic Gain Control | Amplitude normalization via peak tracking |
| [**ALAGUERRE**](../lib/filters/alaguerre/ALaguerre.md) | Ehlers Adaptive Laguerre Filter | Ehlers variable-alpha from tracking error |
| [**BAXTERKING**](../lib/filters/baxterking/BaxterKing.md) | Baxter-King Band-Pass Filter | Symmetric FIR band-pass for cycle extraction |
| [**CFITZ**](../lib/filters/cfitz/Cfitz.md) | Christiano-Fitzgerald Filter | Asymmetric full-sample band-pass, random-walk optimal |
@@ -125,7 +126,10 @@ Signal processing filters adapted for financial time series. Designed to separat
| [**LMS**](../lib/filters/lms/Lms.md) | Least Mean Squares | Widrow-Hoff adaptive FIR filter |
| [**RLS**](../lib/filters/rls/Rls.md) | Recursive Least Squares | Faster convergence than LMS |
| [**LOESS**](../lib/filters/loess/Loess.md) | LOESS Smoothing | Local polynomial regression |
| [**MODF**](../lib/filters/modf/Modf.md) | Modular Filter | Dual-path adaptive filter with state selection |
| [**NOTCH**](../lib/filters/notch/Notch.md) | Notch Filter | Single frequency rejection |
| [**NW**](../lib/filters/nw/Nw.md) | Nadaraya-Watson Estimator | Non-parametric Gaussian kernel regression smoothing |
| [**RMED**](../lib/filters/rmed/Rmed.md) | Ehlers Recursive Median Filter | Recursive median + IIR smoothing, outlier-resistant |
| [**ONEEURO**](../lib/filters/oneeuro/OneEuro.md) | One Euro Filter | Speed-adaptive low-pass, adaptive cutoff |
| [**ROOFING**](../lib/filters/roofing/Roofing.md) | Ehlers Roofing Filter | Ehlers HP + SS bandpass cascade |
| [**SGF**](../lib/filters/sgf/Sgf.md) | Savitzky-Golay Filter | Polynomial least-squares fitting |
@@ -152,11 +156,14 @@ Bounded indicators that oscillate around a centerline or between fixed extremes.
| [**DECO**](../lib/oscillators/deco/Deco.md) | Ehlers Decycler Oscillator | Dual HP bandpass cycle isolation |
| [**DPO**](../lib/oscillators/dpo/Dpo.md) | Detrended Price Oscillator | Displaced SMA trend removal |
| [**FISHER**](../lib/oscillators/fisher/Fisher.md) | Ehlers Fisher Transform | Gaussian-normalized price reversal |
| [**IMI**](../lib/oscillators/imi/Imi.md) | Intraday Momentum Index | Candlestick RSI (0-100 oscillator) |
| [**INERTIA**](../lib/oscillators/inertia/Inertia.md) | Inertia | Linear regression residual |
| [**KDJ**](../lib/oscillators/kdj/Kdj.md) | KDJ Indicator | Enhanced Stochastic (J = 3K − 2D) |
| [**PGO**](../lib/oscillators/pgo/Pgo.md) | Pretty Good Oscillator | ATR-normalized SMA displacement |
| [**REFLEX**](../lib/oscillators/reflex/Reflex.md) | Ehlers Reflex | Zero-centered reversal oscillator |
| [**REVERSEEMA**](../lib/oscillators/reverseema/ReverseEma.md) | Ehlers Reverse EMA | 8-stage cascaded Z-transform inversion oscillator |
| [**SMI**](../lib/oscillators/smi/Smi.md) | Stochastic Momentum Index | Distance from range midpoint (K/D lines) |
| [**STC**](../lib/oscillators/stc/Stc.md) | Schaff Trend Cycle | MACD + double Stochastic (0-100 momentum oscillator) |
| [**STOCH**](../lib/oscillators/stoch/Stoch.md) | Stochastic Oscillator | Close within N-period H/L range (%K/%D) |
| [**STOCHF**](../lib/oscillators/stochf/Stochf.md) | Stochastic Fast | Unsmoothed Stochastic (%K/%D, SMA smoothing only) |
| [**STOCHRSI**](../lib/oscillators/stochrsi/Stochrsi.md) | Stochastic RSI | Stochastic applied to RSI (%K/%D) |
@@ -183,7 +190,6 @@ Indicators measuring trend strength, regime, and directional movement quality.
| [**DX**](../lib/dynamics/dx/Dx.md) | Directional Movement Index | Raw directional strength |
| [**HT_TRENDMODE**](../lib/dynamics/ht_trendmode/HtTrendmode.md) | Ehlers Hilbert Transform Trend vs Cycle Mode | Cycle vs trend regime detection |
| [**ICHIMOKU**](../lib/dynamics/ichimoku/Ichimoku.md) | Ichimoku Cloud | Multi-component trend system |
| [**IMI**](../lib/dynamics/imi/Imi.md) | Intraday Momentum Index | Candlestick-based momentum |
| [**IMPULSE**](../lib/dynamics/impulse/Impulse.md) | Elder Impulse System | EMA + MACD-H trend/momentum fusion |
| [**QSTICK**](../lib/dynamics/qstick/Qstick.md) | Qstick | Average close-open difference |
| [**SUPER**](../lib/dynamics/super/Super.md) | SuperTrend | ATR-based trend bands |
@@ -197,6 +203,7 @@ Rate of change and velocity measurements. First derivatives of price.
| Indicator | Full Name | Notes |
| :-------- | :-------- | :---- |
| [**BIAS**](../lib/momentum/bias/Bias.md) | Bias / Disparity Index | Percentage deviation from SMA |
| [**BOP**](../lib/momentum/bop/Bop.md) | Balance of Power | Close position in range |
| [**CCI**](../lib/momentum/cci/Cci.md) | Commodity Channel Index | Mean deviation normalized |
| [**CFB**](../lib/momentum/cfb/Cfb.md) | Composite Fractal Behavior | Jurik fractal momentum |
@@ -224,7 +231,6 @@ Measures of price variability and range. Essential for position sizing and stop
| [**ADR**](../lib/volatility/adr/Adr.md) | Average Daily Range | Simple range averaging |
| [**ATR**](../lib/volatility/atr/Atr.md) | Average True Range | Gap-adjusted range |
| [**ATRN**](../lib/volatility/atrn/Atrn.md) | ATR Normalized | ATR scaled to [0,1] |
| [**ATRP**](../lib/volatility/atrp/Atrp.md) | ATR Percent | Percentage-based ATR |
| [**BBW**](../lib/volatility/bbw/Bbw.md) | Bollinger Band Width | Band width as percentage of middle band |
| [**BBWN**](../lib/volatility/bbwn/Bbwn.md) | BB Width Normalized | Band width normalized to [0,1] |
| [**BBWP**](../lib/volatility/bbwp/Bbwp.md) | BB Width Percentile | Band width historical percentile |
@@ -320,7 +326,6 @@ Mathematical and statistical computations on price series.
| :-------- | :-------- | :---- |
| [**ACF**](../lib/statistics/acf/Acf.md) | Autocorrelation Function | Lagged self-correlation |
| [**BETA**](../lib/statistics/beta/Beta.md) | Beta Coefficient | Systematic risk measure |
| [**BIAS**](../lib/statistics/bias/Bias.md) | Bias | Percentage deviation from SMA |
| [**CMA**](../lib/statistics/cma/Cma.md) | Cumulative Moving Average | Expanding window average |
| [**COINTEGRATION**](../lib/statistics/cointegration/Cointegration.md) | Cointegration | Engle-Granger two-step with ADF test |
| [**CORRELATION**](../lib/statistics/correlation/Correlation.md) | Pearson Correlation | Linear relationship [-1, +1] |
@@ -373,12 +378,23 @@ Periodic pattern detection and dominant frequency extraction. Markets exhibit cy
| [**HT_DCPERIOD**](../lib/cycles/ht_dcperiod/HtDcperiod.md) | Ehlers HT Dominant Cycle Period | Hilbert Transform period estimation |
| [**HT_DCPHASE**](../lib/cycles/ht_dcphase/HtDcphase.md) | Ehlers HT Dominant Cycle Phase | Hilbert Transform phase angle |
| [**HT_PHASOR**](../lib/cycles/ht_phasor/HtPhasor.md) | Ehlers HT Phasor Components | In-phase and quadrature components |
| [**HT_SINE**](../lib/cycles/ht_sine/HtSine.md) | Ehlers HT SineWave | Dominant cycle phase with lead signal |
| [**HT_SINE**](../lib/cycles/ht_sine/HtSine.md) | Ehlers HT SineWave (also known as SINE) | Dominant cycle phase with lead signal |
| [**LUNAR**](../lib/cycles/lunar/Lunar.md) | Lunar Phase | Moon phase cycle |
| [**SINE**](../lib/cycles/sine/Sine.md) | Ehlers Sine Wave | Periodic sine oscillation |
| [**SOLAR**](../lib/cycles/solar/Solar.md) | Solar Activity Cycle | Solar activity periodicity |
| [**SSFDSP**](../lib/cycles/ssfdsp/Ssfdsp.md) | Ehlers SSF Detrended Synthetic Price | Dual Super Smoother oscillator |
| [**STC**](../lib/cycles/stc/Stc.md) | Schaff Trend Cycle | MACD-based cycle oscillator |
### Core
Price transforms and fundamental building blocks. These indicators compute derived prices from OHLCV bars and serve as inputs to higher-order indicators.
| Indicator | Full Name | Notes |
| :-------- | :-------- | :---- |
| [**AVGPRICE**](../lib/core/avgprice/Avgprice.md) | Average Price | (O+H+L+C) * 0.25 via FMA |
| [**MEDPRICE**](../lib/core/medprice/Medprice.md) | Median Price | (H+L) * 0.5 |
| [**MIDPOINT**](../lib/core/midpoint/Midpoint.md) | Rolling Midpoint | (Max+Min) * 0.5 over lookback window |
| [**MIDPRICE**](../lib/core/midprice/Midprice.md) | Mid Price | (Highest High + Lowest Low) * 0.5 |
| [**TYPPRICE**](../lib/core/typprice/Typprice.md) | Typical Price | (H+L+C) * OneThird via FMA |
| [**WCLPRICE**](../lib/core/wclprice/Wclprice.md) | Weighted Close Price | (H+L+2C) * 0.25 via FMA |
### Numerics
@@ -387,7 +403,6 @@ Mathematical transformations and derivative indicators. Building blocks for anal
| Indicator | Full Name | Notes |
| :-------- | :-------- | :---- |
| [**ACCEL**](../lib/numerics/accel/Accel.md) | Acceleration (2nd Derivative) | Change in slope |
| [**AGC**](../lib/numerics/agc/Agc.md) | Ehlers Automatic Gain Control | Amplitude normalization via peak tracking |
| [**CHANGE**](../lib/numerics/change/Change.md) | Percentage Change | Relative price movement |
| [**EXPTRANS**](../lib/numerics/exptrans/Exptrans.md) | Exponential Transform | e^x for log-space reversal |
| [**HIGHEST**](../lib/numerics/highest/Highest.md) | Rolling Maximum | O(1) via monotonic deque |
@@ -395,13 +410,11 @@ Mathematical transformations and derivative indicators. Building blocks for anal
| [**LINEARTRANS**](../lib/numerics/lineartrans/Lineartrans.md) | Linear Transform | y = ax + b scaling |
| [**LOGTRANS**](../lib/numerics/logtrans/Logtrans.md) | Logarithmic Transform | Natural log for percentage analysis |
| [**LOWEST**](../lib/numerics/lowest/Lowest.md) | Rolling Minimum | O(1) via monotonic deque |
| [**MIDPOINT**](../lib/numerics/midpoint/Midpoint.md) | Rolling Midpoint | (Highest + Lowest) / 2 |
| [**NORMALIZE**](../lib/numerics/normalize/Normalize.md) | Min-Max Normalization | Scale to [0,1] via rolling min/max |
| [**RELU**](../lib/numerics/relu/Relu.md) | Rectified Linear Unit | max(0, x) activation |
| [**SIGMOID**](../lib/numerics/sigmoid/Sigmoid.md) | Logistic Function | 1/(1+e^-x) bounded [0,1] |
| [**SLOPE**](../lib/numerics/slope/Slope.md) | Slope (1st Derivative) | Rate of change; velocity |
| [**SQRTTRANS**](../lib/numerics/sqrttrans/Sqrttrans.md) | Square Root Transform | √x variance-to-StdDev conversion |
| [**STANDARDIZE**](../lib/numerics/standardize/Standardize.md) | Z-Score Normalization | (x - mean) / StdDev scaling |
### Errors
@@ -424,7 +437,7 @@ Error metrics and loss functions for model evaluation, forecast assessment, and
| [**MSE**](../lib/errors/mse/Mse.md) | Mean Squared Error | Variance of residuals |
| [**MSLE**](../lib/errors/msle/Msle.md) | Mean Squared Log Error | Ratio-sensitive error |
| [**PSEUDOHUBER**](../lib/errors/pseudohuber/PseudoHuber.md) | Pseudo-Huber Loss | Differentiable Huber approximation |
| [**QUANTILELOSS**](../lib/errors/quantile/QuantileLoss.md) | Quantile Loss | Asymmetric pinball loss |
| [**QUANTILELOSS**](../lib/errors/quantileloss/QuantileLoss.md) | Quantile Loss | Asymmetric pinball loss |
| [**RAE**](../lib/errors/rae/Rae.md) | Relative Absolute Error | MAE relative to baseline |
| [**RMSE**](../lib/errors/rmse/Rmse.md) | Root Mean Squared Error | Standard error magnitude |
| [**RMSLE**](../lib/errors/rmsle/Rmsle.md) | Root Mean Squared Log Error | Ratio-sensitive RMSE |
@@ -432,7 +445,7 @@ Error metrics and loss functions for model evaluation, forecast assessment, and
| [**RSQUARED**](../lib/errors/rsquared/Rsquared.md) | R² (Coefficient of Determination) | Explained variance fraction |
| [**SMAPE**](../lib/errors/smape/Smape.md) | Symmetric MAPE | Symmetric percentage error |
| [**THEILU**](../lib/errors/theilu/TheilU.md) | Theil's U Statistic | Forecast accuracy relative to naive |
| [**TUKEY**](../lib/errors/tukey/TukeyBiweight.md) | Tukey Biweight Loss | Robust regression loss |
| [**TUKEY**](../lib/errors/tukeybiweight/TukeyBiweight.md) | Tukey Biweight Loss | Robust regression loss |
| [**WMAPE**](../lib/errors/wmape/Wmape.md) | Weighted MAPE | Volume-weighted percentage error |
| [**WRMSE**](../lib/errors/wrmse/Wrmse.md) | Weighted RMSE | Observation-weighted RMSE |
docs/validation.md
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@@ -40,32 +40,32 @@ No external reference exists. Implementation verified through unit tests, edge c
| **Accumulation/Distribution Oscillator** | [Adosc](../lib/volume/adosc/adosc.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Adaptive Price Zone** | [Apz](../lib/channels/apz/apz.md) | - | - | - | ❔ |
| **Andrews' Pitchfork** | Apchannel | - | - | ✔️ | - |
| **Archer Moving Averages Trends** | [Amat](../lib/momentum/amat/Amat.md) | - | - | ✔️ | ✔️ |
| **Archer Moving Averages Trends** | [Amat](../lib/dynamics/amat/Amat.md) | - | - | ✔️ | ✔️ |
| **Archer On-Balance Volume** | [Aobv](../lib/volume/aobv/Aobv.md) | - | - | - | - |
| **Arnaud Legoux Moving Average** | [Alma](../lib/trends/alma/alma.md) | - | - | ✔️ | ✔️ |
| **Aroon** | [Aroon](../lib/momentum/aroon/aroon.md) | ✔️ | ✔️ | ✔️ | - |
| **Aroon Oscillator** | [AroonOsc](../lib/momentum/aroonosc/AroonOsc.md) | ✔️ | ✔️ | ✔️ | - |
| **Arnaud Legoux Moving Average** | [Alma](../lib/trends_FIR/alma/Alma.md) | - | - | ✔️ | ✔️ |
| **Aroon** | [Aroon](../lib/dynamics/aroon/Aroon.md) | ✔️ | ✔️ | ✔️ | - |
| **Aroon Oscillator** | [AroonOsc](../lib/dynamics/aroonosc/AroonOsc.md) | ✔️ | ✔️ | ✔️ | - |
| **ATR Bands** | Atrbands | ✔️ | - | ✔️ | ❔ |
| **Adaptive FIR Moving Average** | [Afirma](../lib/forecasts/afirma/Afirma.md) | - | - | - | - |
| **Ehlers Adaptive Laguerre Filter** | [ALaguerre](../lib/filters/alaguerre/ALaguerre.md) | - | - | - | - |
| **Ehlers Automatic Gain Control** | [Agc](../lib/numerics/agc/Agc.md) | - | - | - | - |
| **Ehlers Automatic Gain Control** | [Agc](../lib/filters/agc/Agc.md) | - | - | - | - |
| **Average Daily Range** | [Adr](../lib/volatility/adr/Adr.md) | - | - | - | - |
| **Average Directional Index** | [Adx](../lib/momentum/adx/adx.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Average Directional Movement Rating** | [Adxr](../lib/momentum/adxr/Adxr.md) | ✔️ | ✔️ | - | - |
| **Average Directional Index** | [Adx](../lib/dynamics/adx/Adx.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Average Directional Movement Rating** | [Adxr](../lib/dynamics/adxr/Adxr.md) | ✔️ | ✔️ | - | - |
| **Average True Range** | [Atr](../lib/volatility/atr/atr.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Average True Range Normalized [0,1]** | [Atrn](../lib/volatility/atrn/Atrn.md) | - | - | ✔️ | - |
| **Average True Range Percent** | [Atrp](../lib/volatility/atrp/Atrp.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Awesome Oscillator** | [Ao](../lib/momentum/ao/ao.md) | - | ✔️ | ✔️ | ✔️ |
| **Average Price** | [Avgprice](../lib/core/avgprice/Avgprice.md) | ✔️ | - | - | - |
| **Awesome Oscillator** | [Ao](../lib/oscillators/ao/Ao.md) | - | ✔️ | ✔️ | ✔️ |
| **Balance of Power** | [Bop](../lib/momentum/bop/Bop.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Baxter-King Band-Pass Filter** | [BaxterKing](../lib/filters/baxterking/BaxterKing.md) | - | - | - | - |
| **Christiano-Fitzgerald Filter** | [Cfitz](../lib/filters/cfitz/Cfitz.md) | - | - | - | - |
| **Bollinger Bands** | [Bbands](../lib/channels/bbands/Bbands.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Bessel Filter** | [Bessel](../lib/trends/bessel/Bessel.md) | - | - | - | - |
| **Bessel Filter** | [Bessel](../lib/filters/bessel/Bessel.md) | - | - | - | - |
| **Bessel-Weighted MA** | [Bwma](../lib/trends_FIR/bwma/Bwma.md) | - | - | - | - |
| **Beta Coefficient** | [Beta](../lib/statistics/beta/Beta.md) | ❔ | - | ✔️ | - |
| **Bias** | [Bias](../lib/statistics/bias/Bias.md) | - | - | - | - |
| **Bilateral Filter** | [Bilateral](../lib/trends/bilateral/Bilateral.md) | - | - | - | - |
| **Blackman Window MA** | [Blma](../lib/trends/blma/Blma.md) | - | - | - | - |
| **Bias** | [Bias](../lib/momentum/bias/Bias.md) | - | - | - | - |
| **Bilateral Filter** | [Bilateral](../lib/filters/bilateral/Bilateral.md) | - | - | - | - |
| **Blackman Window MA** | [Blma](../lib/trends_FIR/blma/Blma.md) | - | - | - | - |
| **Bollinger %B** | [Bbb](../lib/oscillators/bbb/Bbb.md) | - | - | ✔️ | ❔ |
| **Bollinger Band Squeeze** | [Bbs](../lib/oscillators/bbs/Bbs.md) | - | - | ✔️ | ❔ |
| **Bollinger Band Width** | Bbw | - | - | ✔️ | ❔ |
@@ -87,9 +87,9 @@ No external reference exists. Implementation verified through unit tests, edge c
| **Close-to-Close Volatility** | Ccv | - | - | - | - |
| **Cointegration** | Cointegration | - | - | - | - |
| **Commodity Channel Index** | Cci | ✔️ | ✔️ | ✔️ | ❔ |
| **Composite Fractal Behavior** | [Cfb](../lib/momentum/cfb/cfb.md) | - | - | - | - |
| **Composite Fractal Behavior** | [Cfb](../lib/momentum/cfb/Cfb.md) | - | - | - | - |
| **Conditional Volatility** | [Cv](../lib/volatility/cv/Cv.md) | - | - | - | - |
| **Convolution Moving Average** | [Conv](../lib/trends/conv/conv.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Convolution Moving Average** | [Conv](../lib/trends_FIR/conv/Conv.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Coral Trend Filter** | [Coral](../lib/trends_IIR/coral/Coral.md) | - | - | - | - |
| **Correlation** | Correlation | - | - | ✔️ | - |
| **Cumulative Moving Average** | [Cma](../lib/statistics/cma/Cma.md) | - | - | - | - |
@@ -100,11 +100,11 @@ No external reference exists. Implementation verified through unit tests, edge c
| **Ehlers Detrended Synthetic Price** | Dsp | - | - | - | ❔ |
| **Deviation-Scaled MA** | Dsma | - | - | - | ❔ |
| **Directional Movement Index** | Dx | ✔️ | ✔️ | ✔️ | ✔️ |
| **Directional Movement Index (Jurik)** | [Dmx](../lib/momentum/dmx/dmx.md) | - | - | - | - |
| **Directional Movement Index (Jurik)** | [Dmx](../lib/dynamics/dmx/Dmx.md) | - | - | - | - |
| **Dirty Data Detection** | Dirty | - | - | - | - |
| **Donchian Channels** | [Dchannel](../lib/channels/dchannel/Dchannel.md) | - | - | ✔️ | ❔ |
| **Double Exponential Moving Average** | [Dema](../lib/trends/dema/dema.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Double Weighted Moving Average** | [Dwma](../lib/trends/dwma/dwma.md) | ✔️ | ✔️ | ✔️ | - |
| **Double Exponential Moving Average** | [Dema](../lib/trends_IIR/dema/Dema.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Double Weighted Moving Average** | [Dwma](../lib/trends_FIR/dwma/Dwma.md) | ✔️ | ✔️ | ✔️ | - |
| **Ease of Movement** | [Eom](../lib/volume/eom/Eom.md) | - | ✔️ | - | - |
| **Ehlers Autocorrelation Periodogram** | [Eacp](../lib/cycles/eacp/eacp.md) | - | - | - | - |
| **BandPass Filter** | [Bpf](../lib/filters/bpf/Bpf.md) | - | - | - | - |
@@ -116,13 +116,13 @@ No external reference exists. Implementation verified through unit tests, edge c
| **Ehlers Fractal Adaptive MA** | [Frama](../lib/trends_IIR/frama/Frama.md) | - | - | - | ❔ |
| **Ehlers Highpass Filter** | [Hpf](../lib/filters/hpf/Hpf.md) | - | - | - | ❔ |
| **Ehlers Phasor Analysis** | Phasor | - | - | - | - |
| **Ehlers Sine Wave** | Sine | - | - | - | ❔ |
| **Ehlers Sine Wave** | [HtSine](../lib/cycles/ht_sine/HtSine.md) | ✔️ | - | - | - |
| **Ehlers SSF-Based Detrended Synthetic Price** | Ssfdsp | - | - | - | - |
| **Ehlers 2-Pole Super Smooth Filter** | [Ssf2](../lib/filters/ssf2/Ssf2.md) | - | - | - | ✔️ |
| **Ehlers 3-Pole Super Smooth Filter** | [Ssf3](../lib/filters/ssf3/Ssf3.md) | - | - | - | - |
| **Ehlers Ultrasmooth Filter** | Usf | - | - | - | - |
| **Elliptic (Cauer) Filter** | [Elliptic](../lib/filters/elliptic/Elliptic.md) | - | - | - | ❔ |
| **Exponential Moving Average** | [Ema](../lib/trends/ema/ema.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Exponential Moving Average** | [Ema](../lib/trends_IIR/ema/Ema.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Exponential Transformation** | Exptrans | - | - | - | - |
| **Exponential Weighted MA Volatility** | [Ewma](../lib/volatility/ewma/Ewma.md) | - | - | - | ❔ |
| **Extended Traditional Pivots** | [Pivotext](../lib/reversals/pivotext/Pivotext.md) | - | - | - | - |
@@ -143,7 +143,7 @@ No external reference exists. Implementation verified through unit tests, edge c
| **Highest value** | [Highest](../lib/numerics/highest/Highest.md) | ✔️ | ✔️ | - | - |
| **Ehlers Hilbert Transform Dominant Cycle Period** | [HtDcPeriod](../lib/cycles/ht_dcperiod/ht_dcperiod.md) | ✔️ | - | - | - |
| **Ehlers Hilbert Transform Dominant Cycle Phase** | [HtDcPhase](../lib/cycles/ht_dcphase/ht_dcphase.md) | ✔️ | - | - | - |
| **Ehlers Hilbert Transform Instantaneous Trend** | [Htit](../lib/trends/htit/htit.md) | ✔️ | - | ✔️ | ✔️ |
| **Ehlers Hilbert Transform Instantaneous Trend** | [Htit](../lib/trends_IIR/htit/Htit.md) | ✔️ | - | ✔️ | ✔️ |
| **Ehlers Hilbert Transform Phasor Components** | [HtPhasor](../lib/cycles/ht_phasor/ht_phasor.md) | ✔️ | - | - | - |
| **Ehlers Hilbert Transform SineWave** | [HtSine](../lib/cycles/ht_sine/ht_sine.md) | ✔️ | - | - | - |
| **Ehlers Hilbert Transform Trend vs Cycle Mode** | Ht_trendmode | ✔️ | - | - | - |
@@ -154,7 +154,7 @@ No external reference exists. Implementation verified through unit tests, edge c
| **Ehlers Homodyne Discriminator** | [Homod](../lib/cycles/homod/homod.md) | - | - | - | ❔ |
| **Huber Loss** | Huber | - | - | - | - |
| **Hull Exponential MA** | [Hema](../lib/trends_IIR/hema/Hema.md) | - | - | - | - |
| **Hull Moving Average** | [Hma](../lib/trends/hma/hma.md) | - | ✔️ | ✔️ | [⚠️](../lib/trends/hma/hma.md#external-library-discrepancies) |
| **Hull Moving Average** | [Hma](../lib/trends_FIR/hma/Hma.md) | - | ✔️ | ✔️ | [⚠️](../lib/trends_FIR/hma/Hma.md#external-library-discrepancies) |
| **Hurst Exponent** | Hurst | - | - | - | ❔ |
| **Ichimoku Cloud** | Ichimoku | - | - | ✔️ | ❔ |
| **Impulse (Elder)** | [Impulse](../lib/dynamics/impulse/Impulse.md) | - | - | - | - |
@@ -163,12 +163,12 @@ No external reference exists. Implementation verified through unit tests, edge c
| **Intraday Intensity Index** | [Iii](../lib/volume/iii/Iii.md) | - | - | - | - |
| **Intraday Momentum Index** | Imi | - | - | - | ❔ |
| **Jarque-Bera Test** | [Jb](../lib/statistics/jb/Jb.md) | - | - | - | - |
| **Jurik Moving Average** | [Jma](../lib/trends/jma/jma.md) | - | - | - | ❔ |
| **Jurik Moving Average** | [Jma](../lib/trends_IIR/jma/Jma.md) | - | - | - | ❔ |
| **Jurik Volatility** | [Jvolty](../lib/volatility/jvolty/Jvolty.md) | - | - | - | - |
| **Jurik Adaptive Envelope Bands** | [Jbands](../lib/channels/jbands/Jbands.md) | - | - | - | - |
| **Jurik Volatility Normalized [0,100]** | [Jvoltyn](../lib/volatility/jvoltyn/Jvoltyn.md) | - | - | - | - |
| **Kalman Filter** | [Kalman](../lib/filters/kalman/Kalman.md) | - | - | - | - |
| **Kaufman Adaptive Moving Average** | [Kama](../lib/trends/kama/kama.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Kaufman Adaptive Moving Average** | [Kama](../lib/trends_IIR/kama/Kama.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **KDJ Indicator** | [Kdj](../lib/oscillators/kdj/Kdj.md) | - | - | - | - |
| **Keltner Channel** | [Kchannel](../lib/channels/kchannel/kchannel.md) | - | - | ✔️ | ❔ |
| **Kendall Rank Correlation** | [Kendall](../lib/statistics/kendall/Kendall.md) | - | - | - | - |
@@ -177,7 +177,7 @@ No external reference exists. Implementation verified through unit tests, edge c
| **Ehlers Laguerre Filter** | [Laguerre](../lib/filters/laguerre/Laguerre.md) | - | - | - | - |
| **Least Mean Squares** | [Lms](../lib/filters/lms/Lms.md) | - | - | - | - |
| **Recursive Least Squares** | [Rls](../lib/filters/rls/Rls.md) | - | - | - | - |
| **Least Squares Moving Average** | [Lsma](../lib/trends/lsma/lsma.md) | - | - | ✔️ | ❔ |
| **Least Squares Moving Average** | [Lsma](../lib/trends_FIR/lsma/Lsma.md) | - | - | ✔️ | ❔ |
| **Linear Regression** | [LinReg](../lib/statistics/linreg/LinReg.md) | - | - | ✔️ | [⚠️](../lib/statistics/linreg/LinReg.md#validation) |
| **Linear Transformation** | Lineartrans | - | - | - | - |
| **Linear Trend MA** | Ltma | - | - | - | - |
@@ -189,7 +189,7 @@ No external reference exists. Implementation verified through unit tests, edge c
| **Lowest value** | [Lowest](../lib/numerics/lowest/Lowest.md) | ✔️ | ✔️ | - | - |
| **Lunar Phase** | Lunar | - | - | - | - |
| **Mass Index** | [Massi](../lib/volatility/massi/Massi.md) | - | - | - | ❔ |
| **McGinley Dynamic** | [Mgdi](../lib/trends/mgdi/mgdi.md) | - | - | ✔️ | ✔️ |
| **McGinley Dynamic** | [Mgdi](../lib/trends_IIR/mgdi/Mgdi.md) | - | - | ✔️ | ✔️ |
| **Mean Absolute Error** | Mae | - | - | - | - |
| **Mean Absolute Percentage Difference** | Mapd | - | - | - | - |
| **Mean Absolute Percentage Error** | Mape | - | - | - | - |
@@ -198,11 +198,14 @@ No external reference exists. Implementation verified through unit tests, edge c
| **Mean Percentage Error** | Mpe | - | - | - | - |
| **Mean Squared Error** | Mse | - | - | - | - |
| **Mean Squared Logarithmic Error** | Msle | - | - | - | - |
| **Ehlers MESA Adaptive Moving Average** | [Mama](../lib/trends/mama/mama.md) | - | - | ✔️ | ✔️ |
| **Midpoint** | [Midpoint](../lib/numerics/midpoint/Midpoint.md) | ✔️ | - | - | - |
| **Ehlers MESA Adaptive Moving Average** | [Mama](../lib/trends_IIR/mama/Mama.md) | - | - | ✔️ | ✔️ |
| **Median Price** | [Medprice](../lib/core/medprice/Medprice.md) | ✔️ | - | - | - |
| **Mid Price** | [Midprice](../lib/core/midprice/Midprice.md) | ✔️ | - | - | - |
| **Midpoint** | [Midpoint](../lib/core/midpoint/Midpoint.md) | ✔️ | - | - | - |
| **Min-Max Channel** | [Mmchannel](../lib/channels/mmchannel/mmchannel.md) | - | - | ✔️ | - |
| **Min-Max Scaling (Normalization)** | [Normalize](../lib/numerics/normalize/Normalize.md) | - | - | - | - |
| **Mode (Most Frequent)** | Mode | - | - | - | - |
| **Modular Filter** | [Modf](../lib/filters/modf/Modf.md) | - | - | - | - |
| **Modified MA** | [Mma](../lib/trends_IIR/mma/Mma.md) | - | - | - | - |
| **Natural Moving Average** | [Nma](../lib/trends_IIR/nma/Nma.md) | - | - | - | - |
| **Momentum** | Mom | ✔️ | ✔️ | ✔️ | ❔ |
@@ -215,10 +218,11 @@ No external reference exists. Implementation verified through unit tests, edge c
| **Normalized Average True Range** | Natr | ✔️ | ✔️ | ✔️ | ✔️ |
| **Normalized Shannon Entropy** | Entropy | - | - | - | - |
| **Notch Filter** | [Notch](../lib/filters/notch/Notch.md) | - | - | - | - |
| **Nadaraya-Watson Estimator** | [Nw](../lib/filters/nw/Nw.md) | - | - | - | - |
| **One Euro Filter** | [OneEuro](../lib/filters/oneeuro/OneEuro.md) | - | - | - | - |
| **On Balance Volume** | [Obv](../lib/volume/obv/Obv.md) | [⚠️](../lib/volume/obv/Obv.md#validation) | ✔️ | ✔️ | [⚠️](../lib/volume/obv/Obv.md#validation) |
| **Parabolic SAR** | [Psar](../lib/reversals/psar/Psar.md) | - | - | ✔️ | ❔ |
| **Pascal Weighted Moving Average** | [Pwma](../lib/trends/pwma/pwma.md) | - | - | - | ✔️ |
| **Pascal Weighted Moving Average** | [Pwma](../lib/trends_FIR/pwma/Pwma.md) | - | - | - | ✔️ |
| **Percentage Change** | [Change](../lib/numerics/change/Change.md) | - | ✔️ | - | - |
| **Percentage Price Oscillator** | Ppo | ✔️ | ✔️ | - | ✔️ |
| **Percentage Volume Oscillator** | [Pvo](../lib/volume/pvo/Pvo.md) | - | - | - | ❔ |
@@ -247,12 +251,13 @@ No external reference exists. Implementation verified through unit tests, edge c
| **Realized Volatility** | [Rv](../lib/volatility/rv/Rv.md) | - | - | - | - |
| **Rectified Linear Unit** | [Relu](../lib/numerics/relu/Relu.md) | - | - | - | - |
| **Recursive Gaussian MA** | [Rgma](../lib/trends_IIR/rgma/Rgma.md) | - | - | - | - |
| **Ehlers Recursive Median Filter** | [Rmed](../lib/filters/rmed/Rmed.md) | - | - | - | - |
| **Regression Channels** | [Regchannel](../lib/channels/regchannel/regchannel.md) | - | - | - | - |
| **Regularized Exponential MA** | [Rema](../lib/trends_IIR/rema/Rema.md) | - | - | - | ❔ |
| **Relative Absolute Error** | Rae | - | - | - | - |
| **Relative Squared Error** | Rse | - | - | - | - |
| **Relative Strength Index** | [Rsi](../lib/momentum/rsi/Rsi.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Relative Strength Quality Index** | [Rsx](../lib/momentum/rsx/rsx.md) | - | - | - | ❔ |
| **Relative Strength Quality Index** | [Rsx](../lib/momentum/rsx/Rsx.md) | - | - | - | ❔ |
| **Relative Volatility Index** | [Rvi](../lib/volatility/rvi/Rvi.md) | - | - | - | ❔ |
| **Renko** | - | - | - | ✔️ | - |
| **Rogers-Satchell Volatility** | Rsv | - | - | - | - |
@@ -263,16 +268,16 @@ No external reference exists. Implementation verified through unit tests, edge c
| **Savitzky-Golay Filter** | [Sgf](../lib/filters/sgf/Sgf.md) | - | - | - | - |
| **Savitzky-Golay MA** | [Sgma](../lib/trends_FIR/sgma/Sgma.md) | - | - | - | - |
| **Smoothed Adaptive Momentum** | [Sam](../lib/momentum/sam/Sam.md) | - | - | - | - |
| **Schaff Trend Cycle** | [Stc](../lib/cycles/stc/Stc.md) | - | - | ✔️ | ❔ |
| **Simple Moving Average** | [Sma](../lib/trends/sma/sma.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Schaff Trend Cycle** | [Stc](../lib/oscillators/stc/stc.md) | - | - | ✔️ | ❔ |
| **Simple Moving Average** | [Sma](../lib/trends_FIR/sma/Sma.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Sine-weighted MA** | [Sinema](../lib/trends_FIR/sinema/Sinema.md) | - | - | - | - |
| **Smoothed Moving Average** | [Rma](../lib/trends/rma/rma.md) | - | - | ✔️ | ✔️ |
| **Smoothed Moving Average** | [Rma](../lib/trends_IIR/rma/Rma.md) | - | - | ✔️ | ✔️ |
| **Solar Activity Cycle** | Solar | - | - | - | - |
| **Spearman Rank Correlation** | Spearman | - | - | - | ❔ |
| **Ehlers Super Passband Filter** | [Spbf](../lib/filters/spbf/Spbf.md) | - | - | - | - |
| **Square Root Transformation** | [Sqrttrans](../lib/numerics/sqrttrans/Sqrttrans.md) | - | - | - | - |
| **Standard Deviation Channel** | [Sdchannel](../lib/channels/sdchannel/sdchannel.md) | - | - | - | ❔ |
| **Standardization (Z-score)** | Standardize | - | - | - | ❔ |
| **Standardization (Z-score)** | [Zscore](../lib/statistics/zscore/Zscore.md) | - | - | - | ❔ |
| **Starc Bands** | Starc | - | - | - | - |
| **Stochastic Fast** | [Stochf](../lib/oscillators/stochf/Stochf.md) | ✔️ | - | ✔️ | ❔ |
| **Stochastic Momentum Index** | [Smi](../lib/oscillators/smi/Smi.md) | - | - | - | ❔ |
@@ -280,20 +285,21 @@ No external reference exists. Implementation verified through unit tests, edge c
| **Stochastic RSI** | [Stochrsi](../lib/oscillators/stochrsi/Stochrsi.md) | ✔️ | - | ✔️ | ✔️ |
| **Stoller Average Range Channel** | [Starchannel](../lib/channels/starchannel/starchannel.md) | - | - | ✔️ | ❔ |
| **Super Trend Bands** | [Stbands](../lib/channels/stbands/Stbands.md) | - | - | - | - |
| **SuperTrend** | [Super](../lib/trends/super/super.md) | - | - | ✔️ | ❔ |
| **SuperTrend** | [Super](../lib/dynamics/super/Super.md) | - | - | ✔️ | ❔ |
| **Swing High/Low Detection** | [Swings](../lib/reversals/swings/Swings.md) | - | - | - | ❔ |
| **Symmetric Mean Absolute Percentage Error** | Smape | - | - | - | - |
| **T3 Moving Average** | [T3](../lib/trends/t3/t3.md) | ✔️ | - | ✔️ | ✔️ |
| **T3 Moving Average** | [T3](../lib/trends_IIR/t3/T3.md) | ✔️ | - | ✔️ | ✔️ |
| **Theil Index** | Theil | - | - | - | - |
| **Time Series Forecast** | [Tsf](../lib/trends_FIR/tsf/Tsf.md) | ✔️ | ✔️ | - | ❔ |
| **Time Weighted Average Price** | Twap | - | - | - | - |
| **Trade Volume Index** | Tvi | - | - | - | ❔ |
| **Triangular Moving Average** | [Trima](../lib/trends/trima/trima.md) | ✔️ | ✔️ | ✔️ | ❔ |
| **Triangular Moving Average** | [Trima](../lib/trends_FIR/trima/Trima.md) | ✔️ | ✔️ | ✔️ | ❔ |
| **Triple Exponential Average** | [Trix](../lib/oscillators/trix/Trix.md) | ✔️ | ✔️ | ✔️ | ❔ |
| **Triple Exponential Moving Average** | [Tema](../lib/trends/tema/tema.md) | ✔️ | ✔️ | ✔️ | ❔ |
| **Triple Exponential Moving Average** | [Tema](../lib/trends_IIR/tema/Tema.md) | ✔️ | ✔️ | ✔️ | ❔ |
| **Trend Regularity Adaptive MA** | [Trama](../lib/trends_IIR/trama/Trama.md) | - | - | - | - |
| **True Range** | Tr | ✔️ | ✔️ | - | - |
| **True Strength Index** | Tsi | - | - | ✔️ | ✔️ |
| **Typical Price** | [Typprice](../lib/core/typprice/Typprice.md) | ✔️ | - | - | - |
| **TTM Trend** | Ttm | - | - | - | - |
| **TTM Scalper Alert** | [TtmScalper](../lib/reversals/ttm_scalper/TtmScalper.md) | - | - | - | - |
| **TTM Wave** | [TtmWave](../lib/oscillators/ttm_wave/TtmWave.md) | - | - | - | - |
@@ -301,9 +307,9 @@ No external reference exists. Implementation verified through unit tests, edge c
| **Ulcer Index** | Ui | - | - | - | ❔ |
| **Ehlers Ultimate Bands** | [Ubands](../lib/channels/ubands/Ubands.md) | - | - | - | - |
| **Ehlers Ultimate Channel** | [Uchannel](../lib/channels/uchannel/Uchannel.md) | - | - | - | - |
| **Ultimate Oscillator** | [Ultosc](../lib/momentum/ultosc/Ultosc.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Variable Index Dynamic Average** | [Vidya](../lib/trends/vidya/vidya.md) | - | - | - | ❔ |
| **Velocity (Jurik)** | [Vel](../lib/momentum/vel/vel.md) | - | - | - | - |
| **Ultimate Oscillator** | [Ultosc](../lib/oscillators/ultosc/Ultosc.md) | ✔️ | ✔️ | ✔️ | ✔️ |
| **Variable Index Dynamic Average** | [Vidya](../lib/trends_IIR/vidya/Vidya.md) | - | - | - | ❔ |
| **Velocity (Jurik)** | [Vel](../lib/momentum/vel/Vel.md) | - | - | - | - |
| **Volatility Adjusted Moving Average** | [Vama](../lib/trends_IIR/vama/Vama.md) | - | - | - | ❔ |
| **Volatility of Volatility** | [Vov](../lib/volatility/vov/Vov.md) | - | - | - | - |
| **Volatility Ratio** | [Vr](../lib/volatility/vr/Vr.md) | - | - | - | - |
@@ -319,9 +325,10 @@ No external reference exists. Implementation verified through unit tests, edge c
| **VWAP Bands** | [Vwapbands](../lib/channels/vwapbands/Vwapbands.md) | - | - | - | - |
| **VWAP with Standard Deviation Bands** | [Vwapsd](../lib/channels/vwapsd/Vwapsd.md) | - | - | - | - |
| **Wavelet Denoising Filter** | [Wavelet](../lib/filters/wavelet/Wavelet.md) | - | - | - | - |
| **Weighted Moving Average** | [Wma](../lib/trends/wma/wma.md) | ✔️ | ✔️ | ✔️ | - |
| **Weighted Moving Average** | [Wma](../lib/trends_FIR/wma/Wma.md) | ✔️ | ✔️ | ✔️ | - |
| **Wiener Filter** | Wiener | - | - | - | - |
| **Williams %R** | [Willr](../lib/oscillators/willr/Willr.md) | ✔️ | ✔️ | ✔️ | ❔ |
| **Weighted Close Price** | [Wclprice](../lib/core/wclprice/Wclprice.md) | ✔️ | - | - | - |
| **Williams Accumulation/Distribution** | [Wad](../lib/volume/wad/Wad.md) | - | ✔️ | - | [⚠️](../lib/volume/wad/Wad.md#validation) |
| **Williams Alligator** | Alligator | - | - | ✔️ | ❔ |
| **Williams Fractal** | [Fractals](../lib/reversals/fractals/Fractals.md) | - | - | ✔️ | ❔ |
@@ -374,8 +381,8 @@ No external reference exists. Implementation verified through unit tests, edge c
| **Huber Loss** | [Huber](../lib/errors/huber/Huber.md) | - | No external validation available |
| **Pseudo-Huber Loss** | [PseudoHuber](../lib/errors/pseudohuber/PseudoHuber.md) | - | No external validation available |
| **Log-Cosh Loss** | [LogCosh](../lib/errors/logcosh/LogCosh.md) | - | No external validation available |
| **Tukey Loss** | [Tukey](../lib/errors/tukey/Tukey.md) | - | No external validation available |
| **Quantile Loss** | [Quantile](../lib/errors/quantile/Quantile.md) | - | No external validation available |
| **Tukey Loss** | [Tukey](../lib/errors/tukeybiweight/TukeyBiweight.md) | - | No external validation available |
| **Quantile Loss** | [Quantile](../lib/errors/quantileloss/QuantileLoss.md) | - | No external validation available |
| **MAPE** | [Mape](../lib/errors/mape/Mape.md) | - | No external validation available |
| **SMAPE** | [Smape](../lib/errors/smape/Smape.md) | - | No external validation available |
| **MAAPE** | [Maape](../lib/errors/maape/Maape.md) | - | No external validation available |