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QuanTAlib/lib/statistics/_index.md
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Miha Kralj 16a21a5b65 feat: Add Cumulative Moving Average (CMA) implementation with detailed documentation
- Introduced Cma class for calculating the Cumulative Moving Average using Welford's algorithm with FMA for precision.
- Added methods for batch processing and streaming updates.
- Implemented a comprehensive markdown documentation for CMA, covering its mathematical foundation, performance profile, and use cases.
- Enhanced existing trend indicators (Bessel, Butter, Htit, Jma, Mama, Ssf, Vidya) with FMA for improved numerical stability and precision.
- Updated Adosc to utilize a single-pass algorithm for performance optimization.
- Fixed date initialization in benchmarks to ensure UTC consistency.
2025-12-29 09:34:37 -08:00

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Markdown

# Statistics
Statistical analysis tools applied to price/returns.
| Indicator | Full Name | Description |
| :--- | :--- | :--- |
| BETA | Beta Coefficient | |
| BIAS | Bias | |
| COINTEGRATION | Cointegration | |
| CORRELATION | Correlation (Pearson's) | |
| [COVARIANCE](covariance/Covariance.md) | Covariance | |
| [CMA](cma/Cma.md) | Cumulative Moving Average | Running average of ALL values (Welford's algorithm). No window. |
| ENTROPY | Normalized Shannon Entropy | |
| GEOMEAN | Geometric Mean | |
| GRANGER | Granger Causality Test | |
| HARMEAN | Harmonic Mean | |
| HURST | Hurst | |
| IQR | Interquartile Range | |
| JB | Jarque-Bera Test | |
| KENDALL | Kendall Rank Correlation | |
| KURTOSIS | Kurtosis | |
| [LINREG](linreg/LinReg.md) | Linear Regression Curve | |
| [MEDIAN](median/Median.md) | Median (Statistical) | |
| MODE | Mode (Most Frequent) | |
| PERCENTILE | Percentile | |
| QUANTILE | Quantile | |
| [SKEW](skew/Skew.md) | Skewness | |
| SPEARMAN | Spearman Rank Correlation | |
| [STDDEV](stddev/StdDev.md) | Standard Deviation | |
| THEIL | Theil Index | |
| [VARIANCE](variance/Variance.md) | Variance | |
| ZSCORE | Z-score standardization | |
| ZTEST | Z-Test | |