* **Core concepts** * [Architecture](docs/architecture.md) * [API](docs/api.md) * [Benchmarks](docs/benchmarks.md) * [Indicators](docs/indicators.md) * [Usage Guides](docs/usage.md) * [Integration](docs/integration.md) * [Validation](docs/validation.md) * [MA Qualities](docs/ma-qualities.md) * [Error Metrics](docs/errors.md) * **Trends (FIR)** * [Overview](lib/trends_FIR/_index.md) * [ALMA - Arnaud Legoux MA](lib/trends_FIR/alma/Alma.md) * [BLMA - Blackman Window MA](lib/trends_FIR/blma/Blma.md) * [BWMA - Blackman-Harris MA](lib/trends_FIR/bwma/Bwma.md) * [CONV - Convolution](lib/trends_FIR/conv/Conv.md) * [DWMA - Double Weighted MA](lib/trends_FIR/dwma/Dwma.md) * [GWMA - Gaussian Weighted MA](lib/trends_FIR/gwma/Gwma.md) * [HAMMA - Hamming MA](lib/trends_FIR/hamma/Hamma.md) * [HANMA - Hanning MA](lib/trends_FIR/hanma/Hanma.md) * [HMA - Hull MA](lib/trends_FIR/hma/Hma.md) * [HWMA - Henderson Weighted MA](lib/trends_FIR/hwma/Hwma.md) * [LSMA - Least Squares MA](lib/trends_FIR/lsma/Lsma.md) * [PWMA - Pascal Weighted MA](lib/trends_FIR/pwma/Pwma.md) * [SGMA - Savitzky-Golay MA](lib/trends_FIR/sgma/Sgma.md) * [SINEMA - Sine Weighted MA](lib/trends_FIR/sinema/Sinema.md) * [SMA - Simple MA](lib/trends_FIR/sma/Sma.md) * [TRIMA - Triangular MA](lib/trends_FIR/trima/Trima.md) * [WMA - Weighted MA](lib/trends_FIR/wma/Wma.md) * **Trends (IIR)** * [Overview](lib/trends_IIR/_index.md) * [DEMA - Double Exponential MA](lib/trends_IIR/dema/Dema.md) * [DSMA - Deviation-Scaled MA](lib/trends_IIR/dsma/Dsma.md) * [EMA - Exponential MA](lib/trends_IIR/ema/Ema.md) * [FRAMA - Fractal Adaptive MA](lib/trends_IIR/frama/Frama.md) * [HEMA - Hull Exponential MA](lib/trends_IIR/hema/Hema.md) * [HTIT - Hilbert Transform Instant Trendline](lib/trends_IIR/htit/Htit.md) * [JMA - Jurik MA](lib/trends_IIR/jma/Jma.md) * [KAMA - Kaufman Adaptive MA](lib/trends_IIR/kama/Kama.md) * [MAMA - MESA Adaptive MA](lib/trends_IIR/mama/Mama.md) * [MGDI - McGinley Dynamic](lib/trends_IIR/mgdi/Mgdi.md) * [MMA - Modified MA](lib/trends_IIR/mma/Mma.md) * [QEMA - Quadruple Exponential MA](lib/trends_IIR/qema/Qema.md) * [REMA - Regularized Exponential MA](lib/trends_IIR/rema/Rema.md) * [RGMA - Recursive Gaussian MA](lib/trends_IIR/rgma/Rgma.md) * [RMA - Rolling MA](lib/trends_IIR/rma/Rma.md) * [T3 - Tillson T3 MA](lib/trends_IIR/t3/T3.md) * [TEMA - Triple Exponential MA](lib/trends_IIR/tema/Tema.md) * [VAMA - Volatility Adjusted MA](lib/trends_IIR/vama/Vama.md) * [VIDYA - Variable Index Dynamic Average](lib/trends_IIR/vidya/Vidya.md) * [YZVAMA - Yang-Zhang Volatility Adjusted MA](lib/trends_IIR/yzvama/Yzvama.md) * [ZLEMA - Zero-Lag Exponential MA](lib/trends_IIR/zlema/Zlema.md) * **Filters** * [Overview](lib/filters/_index.md) * [BESSEL - Bessel Filter](lib/filters/bessel/Bessel.md) * [BILATERAL - Bilateral Filter](lib/filters/bilateral/Bilateral.md) * [BPF - Bandpass Filter](lib/filters/bpf/Bpf.md) * [BUTTER - Butterworth Filter](lib/filters/butter/Butter.md) * [CHEBY1 - Chebyshev Type I](lib/filters/cheby1/Cheby1.md) * [CHEBY2 - Chebyshev Type II](lib/filters/cheby2/Cheby2.md) * [ELLIPTIC - Elliptic Filter](lib/filters/elliptic/Elliptic.md) * [GAUSS - Gaussian Filter](lib/filters/gauss/Gauss.md) * [HANN - Hann Filter](lib/filters/hann/Hann.md) * [HP - Hodrick-Prescott Filter](lib/filters/hp/Hp.md) * [HPF - High Pass Filter](lib/filters/hpf/Hpf.md) * [KALMAN - Kalman Filter](lib/filters/kalman/Kalman.md) * [LOESS - LOESS Smoothing](lib/filters/loess/Loess.md) * [NOTCH - Notch Filter](lib/filters/notch/Notch.md) * [SGF - Savitzky-Golay Filter](lib/filters/sgf/Sgf.md) * [SSF - Ehlers Super Smooth Filter](lib/filters/ssf/Ssf.md) * [USF - Ehlers Ultimate Smoother Filter](lib/filters/usf/Usf.md) * [WIENER - Wiener Filter](lib/filters/wiener/Wiener.md) * **Dynamics** * [Overview](lib/dynamics/_index.md) * [ADX - Average Directional Index](lib/dynamics/adx/Adx.md) * [ADXR - Average Directional Movement Rating](lib/dynamics/adxr/Adxr.md) * [ALLIGATOR - Williams Alligator](lib/dynamics/alligator/Alligator.md) * [AMAT - Archer Moving Averages Trends](lib/dynamics/amat/Amat.md) * [AROON - Aroon](lib/dynamics/aroon/Aroon.md) * [AROONOSC - Aroon Oscillator](lib/dynamics/aroonosc/AroonOsc.md) * [CHOP - Choppiness Index](lib/dynamics/chop/Chop.md) * [DMX - Jurik Directional Movement Index](lib/dynamics/dmx/Dmx.md) * [DX - Directional Movement Index](lib/dynamics/dx/Dx.md) * [HT_TRENDMODE - Hilbert Transform Trend Mode](lib/dynamics/ht_trendmode/HtTrendmode.md) * [ICHIMOKU - Ichimoku Cloud](lib/dynamics/ichimoku/Ichimoku.md) * [IMI - Intraday Momentum Index](lib/dynamics/imi/Imi.md) * [QSTICK - Qstick Indicator](lib/dynamics/qstick/Qstick.md) * [SUPER - SuperTrend](lib/dynamics/super/Super.md) * [TTM - TTM Trend](lib/dynamics/ttm/Ttm.md) * [VORTEX - Vortex Indicator](lib/dynamics/vortex/Vortex.md) * **Oscillators** * [Overview](lib/oscillators/_index.md) * [AC - Acceleration Oscillator](lib/oscillators/ac/Ac.md) * [AO - Awesome Oscillator](lib/oscillators/ao/Ao.md) * [APO - Absolute Price Oscillator](lib/oscillators/apo/Apo.md) * [BBB - Bollinger %B](lib/oscillators/bbb/Bbb.md) * [BBS - Bollinger Band Squeeze](lib/oscillators/bbs/Bbs.md) * [CFO - Chande Forecast Oscillator](lib/oscillators/cfo/Cfo.md) * [DPO - Detrended Price Oscillator](lib/oscillators/dpo/Dpo.md) * [FISHER - Fisher Transform](lib/oscillators/fisher/Fisher.md) * [INERTIA - Inertia](lib/oscillators/inertia/Inertia.md) * [KDJ - KDJ Indicator](lib/oscillators/kdj/Kdj.md) * [PGO - Pretty Good Oscillator](lib/oscillators/pgo/Pgo.md) * [SMI - Stochastic Momentum Index](lib/oscillators/smi/Smi.md) * [STOCH - Stochastic Oscillator](lib/oscillators/stoch/Stoch.md) * [STOCHF - Stochastic Fast](lib/oscillators/stochf/Stochf.md) * [STOCHRSI - Stochastic RSI](lib/oscillators/stochrsi/Stochrsi.md) * [TRIX - Triple Exponential Average](lib/oscillators/trix/Trix.md) * [ULTOSC - Ultimate Oscillator](lib/oscillators/ultosc/Ultosc.md) * [WILLR - Williams %R](lib/oscillators/willr/Willr.md) * **Momentum** * [Overview](lib/momentum/_index.md) * [APO - Absolute Price Oscillator](lib/momentum/apo/Apo.md) * [BOP - Balance of Power](lib/momentum/bop/Bop.md) * [CCI - Commodity Channel Index](lib/momentum/cci/Cci.md) * [CFB - Jurik Composite Fractal Behavior](lib/momentum/cfb/Cfb.md) * [CMO - Chande Momentum Oscillator](lib/momentum/cmo/Cmo.md) * [MACD - Moving Average Convergence Divergence](lib/momentum/macd/Macd.md) * [MOM - Momentum](lib/momentum/mom/Mom.md) * [PMO - Price Momentum Oscillator](lib/momentum/pmo/Pmo.md) * [PPO - Percentage Price Oscillator](lib/momentum/ppo/Ppo.md) * [PRS - Price Relative Strength](lib/momentum/prs/Prs.md) * [ROC - Rate of Change](lib/momentum/roc/Roc.md) * [ROCP - Rate of Change Percentage](lib/momentum/rocp/Rocp.md) * [ROCR - Rate of Change Ratio](lib/momentum/rocr/Rocr.md) * [RSI - Relative Strength Index](lib/momentum/rsi/Rsi.md) * [RSX - Jurik Relative Strength X](lib/momentum/rsx/Rsx.md) * [TSI - True Strength Index](lib/momentum/tsi/Tsi.md) * [VEL - Jurik Velocity](lib/momentum/vel/Vel.md) * **Volatility** * [Overview](lib/volatility/_index.md) * [ADR - Average Daily Range](lib/volatility/adr/Adr.md) * [ATR - Average True Range](lib/volatility/atr/Atr.md) * [ATRN - ATR Normalized](lib/volatility/atrn/Atrn.md) * [ATRP - ATR Percent](lib/volatility/atrp/Atrp.md) * [BBW - Bollinger Band Width](lib/volatility/bbw/Bbw.md) * [BBWN - Bollinger Band Width Normalized](lib/volatility/bbwn/Bbwn.md) * [BBWP - Bollinger Band Width Percentile](lib/volatility/bbwp/Bbwp.md) * [CCV - Close-to-Close Volatility](lib/volatility/ccv/Ccv.md) * [CV - Conditional Volatility](lib/volatility/cv/Cv.md) * [CVI - Chaikin's Volatility](lib/volatility/cvi/Cvi.md) * [EWMA - Exponential Weighted MA Volatility](lib/volatility/ewma/Ewma.md) * [GKV - Garman-Klass Volatility](lib/volatility/gkv/Gkv.md) * [HLV - High-Low Volatility](lib/volatility/hlv/Hlv.md) * [HV - Historical Volatility](lib/volatility/hv/Hv.md) * [JVOLTY - Jurik Volatility](lib/volatility/jvolty/Jvolty.md) * [JVOLTYN - Jurik Volatility Normalized](lib/volatility/jvoltyn/Jvoltyn.md) * [MASSI - Mass Index](lib/volatility/massi/Massi.md) * [NATR - Normalized ATR](lib/volatility/natr/Natr.md) * [PV - Parkinson Volatility](lib/volatility/pv/Pv.md) * [RSV - Rogers-Satchell Volatility](lib/volatility/rsv/Rsv.md) * [RV - Realized Volatility](lib/volatility/rv/Rv.md) * [RVI - Relative Volatility Index](lib/volatility/rvi/Rvi.md) * [TR - True Range](lib/volatility/tr/Tr.md) * [UI - Ulcer Index](lib/volatility/ui/Ui.md) * [VOV - Volatility of Volatility](lib/volatility/vov/Vov.md) * [VR - Volatility Ratio](lib/volatility/vr/Vr.md) * [YZV - Yang-Zhang Volatility](lib/volatility/yzv/Yzv.md) * **Volume** * [Overview](lib/volume/_index.md) * [ADL - Accumulation/Distribution Line](lib/volume/adl/Adl.md) * [ADOSC - Chaikin A/D Oscillator](lib/volume/adosc/Adosc.md) * [AOBV - Archer On-Balance Volume](lib/volume/aobv/Aobv.md) * [CMF - Chaikin Money Flow](lib/volume/cmf/Cmf.md) * [EFI - Elder's Force Index](lib/volume/efi/Efi.md) * [EOM - Ease of Movement](lib/volume/eom/Eom.md) * [III - Intraday Intensity Index](lib/volume/iii/Iii.md) * [KVO - Klinger Volume Oscillator](lib/volume/kvo/Kvo.md) * [MFI - Money Flow Index](lib/volume/mfi/Mfi.md) * [NVI - Negative Volume Index](lib/volume/nvi/Nvi.md) * [OBV - On Balance Volume](lib/volume/obv/Obv.md) * [PVD - Price Volume Divergence](lib/volume/pvd/Pvd.md) * [PVI - Positive Volume Index](lib/volume/pvi/Pvi.md) * [PVO - Percentage Volume Oscillator](lib/volume/pvo/Pvo.md) * [PVR - Price Volume Rank](lib/volume/pvr/Pvr.md) * [PVT - Price Volume Trend](lib/volume/pvt/Pvt.md) * [TVI - Trade Volume Index](lib/volume/tvi/Tvi.md) * [TWAP - Time Weighted Average Price](lib/volume/twap/Twap.md) * [VA - Volume Accumulation](lib/volume/va/Va.md) * [VF - Volume Force](lib/volume/vf/Vf.md) * [VO - Volume Oscillator](lib/volume/vo/Vo.md) * [VROC - Volume Rate of Change](lib/volume/vroc/Vroc.md) * [VWAD - Volume Weighted A/D](lib/volume/vwad/Vwad.md) * [VWAP - Volume Weighted Average Price](lib/volume/vwap/Vwap.md) * [VWMA - Volume Weighted MA](lib/volume/vwma/Vwma.md) * [WAD - Williams A/D](lib/volume/wad/Wad.md) * **Channels** * [Overview](lib/channels/_index.md) * [ABBER - Aberration Bands](lib/channels/abber/abber.md) * [ACCBANDS - Acceleration Bands](lib/channels/accbands/accbands.md) * [APCHANNEL - Andrews' Pitchfork](lib/channels/apchannel/Apchannel.md) * [APZ - Adaptive Price Zone](lib/channels/apz/apz.md) * [ATRBANDS - ATR Bands](lib/channels/atrbands/Atrbands.md) * [BBANDS - Bollinger Bands](lib/channels/bbands/Bbands.md) * [DCHANNEL - Donchian Channels](lib/channels/dchannel/Dchannel.md) * [DECAYCHANNEL - Decay Min-Max Channel](lib/channels/decaychannel/Decaychannel.md) * [FCB - Fractal Chaos Bands](lib/channels/fcb/Fcb.md) * [JBANDS - Jurik Volatility Bands](lib/channels/jbands/Jbands.md) * [KCHANNEL - Keltner Channel](lib/channels/kchannel/Kchannel.md) * [MAENV - Moving Average Envelope](lib/channels/maenv/Maenv.md) * [MMCHANNEL - Min-Max Channel](lib/channels/mmchannel/Mmchannel.md) * [PCHANNEL - Price Channel](lib/channels/pchannel/Pchannel.md) * [REGCHANNEL - Regression Channels](lib/channels/regchannel/Regchannel.md) * [SDCHANNEL - Standard Deviation Channel](lib/channels/sdchannel/Sdchannel.md) * [STARCHANNEL - Stoller Average Range Channel](lib/channels/starchannel/Starchannel.md) * [STBANDS - Super Trend Bands](lib/channels/stbands/Stbands.md) * [UBANDS - Ultimate Bands](lib/channels/ubands/Ubands.md) * [UCHANNEL - Ultimate Channel](lib/channels/uchannel/Uchannel.md) * [VWAPBANDS - VWAP Bands](lib/channels/vwapbands/Vwapbands.md) * [VWAPSD - VWAP with Standard Deviation Bands](lib/channels/vwapsd/Vwapsd.md) * **Statistics** * [Overview](lib/statistics/_index.md) * [BETA - Beta Coefficient](lib/statistics/beta/Beta.md) * [BIAS - Bias](lib/statistics/bias/Bias.md) * [CMA - Cumulative MA](lib/statistics/cma/Cma.md) * [COINTEGRATION - Cointegration](lib/statistics/cointegration/Cointegration.md) * [CORRELATION - Correlation](lib/statistics/correlation/Correlation.md) * [COVARIANCE - Covariance](lib/statistics/covariance/Covariance.md) * [CUMMEAN - Cumulative Mean](lib/statistics/cummean/Cummean.md) * [ENTROPY - Shannon Entropy](lib/statistics/entropy/Entropy.md) * [GEOMEAN - Geometric Mean](lib/statistics/geomean/Geomean.md) * [GRANGER - Granger Causality](lib/statistics/granger/Granger.md) * [HARMEAN - Harmonic Mean](lib/statistics/harmean/Harmean.md) * [HURST - Hurst Exponent](lib/statistics/hurst/Hurst.md) * [IQR - Interquartile Range](lib/statistics/iqr/Iqr.md) * [JB - Jarque-Bera Test](lib/statistics/jb/Jb.md) * [KENDALL - Kendall Rank Correlation](lib/statistics/kendall/Kendall.md) * [KURTOSIS - Kurtosis](lib/statistics/kurtosis/Kurtosis.md) * [LINREG - Linear Regression Curve](lib/statistics/linreg/LinReg.md) * [MEDIAN - Rolling Median](lib/statistics/median/Median.md) * [MODE - Mode](lib/statistics/mode/Mode.md) * [PERCENTILE - Percentile](lib/statistics/percentile/Percentile.md) * [QUANTILE - Quantile](lib/statistics/quantile/Quantile.md) * [SKEW - Skewness](lib/statistics/skew/Skew.md) * [SPEARMAN - Spearman Rank Correlation](lib/statistics/spearman/Spearman.md) * [STDDEV - Standard Deviation](lib/statistics/stddev/StdDev.md) * [SUM - Rolling Sum](lib/statistics/sum/Sum.md) * [THEIL - Theil Index](lib/statistics/theil/Theil.md) * [VARIANCE - Population and Sample Variance](lib/statistics/variance/Variance.md) * [ZSCORE - Z-score](lib/statistics/zscore/Zscore.md) * [ZTEST - Z-Test](lib/statistics/ztest/Ztest.md) * **Numerics** * [Overview](lib/numerics/_index.md) * **Errors** * [Overview](lib/errors/_index.md) * [HUBER - Huber Loss](lib/errors/huber/Huber.md) * [LOGCOSH - Log-Cosh Loss](lib/errors/logcosh/LogCosh.md) * [MAE - Mean Absolute Error](lib/errors/mae/Mae.md) * [MAAPE - Mean Arctangent Absolute Percentage Error](lib/errors/maape/Maape.md) * [MAPD - Mean Absolute Percentage Deviation](lib/errors/mapd/Mapd.md) * [MAPE - Mean Absolute Percentage Error](lib/errors/mape/Mape.md) * [MASE - Mean Absolute Scaled Error](lib/errors/mase/Mase.md) * [MDAE - Median Absolute Error](lib/errors/mdae/Mdae.md) * [MDAPE - Median Absolute Percentage Error](lib/errors/mdape/Mdape.md) * [ME - Mean Error](lib/errors/me/Me.md) * [MPE - Mean Percentage Error](lib/errors/mpe/Mpe.md) * [MRAE - Mean Relative Absolute Error](lib/errors/mrae/Mrae.md) * [MSE - Mean Squared Error](lib/errors/mse/Mse.md) * [MSLE - Mean Squared Logarithmic Error](lib/errors/msle/Msle.md) * [PSEUDOHUBER - Pseudo-Huber Loss](lib/errors/pseudohuber/PseudoHuber.md) * [QUANTILE - Quantile Loss](lib/errors/quantile/QuantileLoss.md) * [RAE - Relative Absolute Error](lib/errors/rae/Rae.md) * [RMSE - Root Mean Squared Error](lib/errors/rmse/Rmse.md) * [RMSLE - Root Mean Squared Logarithmic Error](lib/errors/rmsle/Rmsle.md) * [RSE - Relative Squared Error](lib/errors/rse/Rse.md) * [RSQUARED - Coefficient of Determination](lib/errors/rsquared/Rsquared.md) * [SMAPE - Symmetric Mean Absolute Percentage Error](lib/errors/smape/Smape.md) * [THEILU - Theil's U Statistic](lib/errors/theilu/TheilU.md) * [TUKEY - Tukey Biweight Loss](lib/errors/tukey/TukeyBiweight.md) * [WMAPE - Weighted Mean Absolute Percentage Error](lib/errors/wmape/Wmape.md) * **Forecasts** * [Overview](lib/forecasts/_index.md) * [AFIRMA - Adaptive FIR MA](lib/forecasts/afirma/Afirma.md) * [MLP - Multilayer Perceptron](lib/forecasts/mlp/Mlp.md) * **Cycles** * [Overview](lib/cycles/_index.md) * [CG - Center of Gravity](lib/cycles/cg/Cg.md) * [DSP - Detrended Synthetic Price](lib/cycles/dsp/Dsp.md) * [EACP - Ehlers Autocorrelation Periodogram](lib/cycles/eacp/Eacp.md) * [EBSW - Ehlers Even Better Sinewave](lib/cycles/ebsw/Ebsw.md) * [HOMOD - Homodyne Discriminator](lib/cycles/homod/Homod.md) * [HT_DCPERIOD - Hilbert Transform Dominant Cycle Period](lib/cycles/ht_dcperiod/HtDcperiod.md) * [HT_DCPHASE - Hilbert Transform Dominant Cycle Phase](lib/cycles/ht_dcphase/HtDcphase.md) * [HT_PHASOR - Hilbert Transform Phasor](lib/cycles/ht_phasor/HtPhasor.md) * [HT_SINE - Hilbert Transform SineWave](lib/cycles/ht_sine/HtSine.md) * [LUNAR - Lunar Phase](lib/cycles/lunar/Lunar.md) * [PHASOR - Phasor Analysis](lib/cycles/phasor/Phasor.md) * [SINE - Sine Wave](lib/cycles/sine/Sine.md) * [SOLAR - Solar Activity Cycle](lib/cycles/solar/Solar.md) * [SSFDSP - SSF-Based Detrended Synthetic Price](lib/cycles/ssfdsp/Ssfdsp.md) * [STC - Schaff Trend Cycle](lib/cycles/stc/Stc.md) * **Reversals** * [Overview](lib/reversals/_index.md) * [FRACTALS - Williams Fractals](lib/reversals/fractals/Fractals.md) * [PIVOT - Pivot Points](lib/reversals/pivot/Pivot.md) * [PIVOTCAM - Camarilla Pivot Points](lib/reversals/pivotcam/Pivotcam.md) * [PIVOTDEM - DeMark Pivot Points](lib/reversals/pivotdem/Pivotdem.md) * [PIVOTEXT - Extended Traditional Pivots](lib/reversals/pivotext/Pivotext.md) * [PIVOTFIB - Fibonacci Pivot Points](lib/reversals/pivotfib/Pivotfib.md) * [PIVOTWOOD - Woodie's Pivot Points](lib/reversals/pivotwood/Pivotwood.md) * [PSAR - Parabolic Stop And Reverse](lib/reversals/psar/Psar.md) * [SWINGS - Swing High/Low Detection](lib/reversals/swings/Swings.md)