obscure_stats

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Highlights:

obscure_stats is a small Python package that includes a lot of useful but lesser-known statistical functions and builds on top of numpy and scipy.

Current API list

• Collection of measures of central tendency - obscure_stats/central_tendency:
  • Contraharmonic Mean;
  • Half-Sample Mode;
  • Hodges-Lehmann-Sen Location;
  • Midhinge;
  • Midmean;
  • Midrange;
  • Standard Trimmed Harrell-Davis Quantile;
  • Trimean.
• Collection of measures of dispersion - obscure_stats/dispersion:
  • Coefficient of Range;
  • Coefficient of Variation;
  • Cole's Index of Dispersion;
  • Dispersion Ratio;
  • Fisher's Index of Dispersion;
  • Gini Mean Difference;
  • Linear Coefficient of Variation;
  • Morisita Index of Dispersion;
  • Quartile Coefficient of Dispersion;
  • Robust Coefficient of Variation;
  • Shamos Estimator;
  • Standard Quantile Absolute Deviation;
  • Studentized Range.
• Collection of measures of skewness - obscure_stats/skewness:
  • Area Under the Skewness Curve (weighted and unweighted);
  • Bickel Mode Skewness Coefficient;
  • Bowley Skewness Coefficient;
  • Cumulative Skewness Coefficient;
  • Forhad-Shorna Rank Skewness Coefficient;
  • Groeneveld Skewness Coefficient;
  • Hossain-Adnan Skewness Coefficient;
  • Kelly Skewness Coefficient;
  • L-Skewness Coefficient;
  • Medeen Skewness Coefficient;
  • Pearson Median Skewness Coefficient;
  • Pearson Mode Skewness Coefficient.
• Collection of measures of kurtosis - obscure_stats/kurtosis:
  • Crow-Siddiqui Kurtosis;
  • L-Kurtosis;
  • Hogg Kurtosis;
  • Moors Kurtosis;
  • Moors Octile Kurtosis;
  • Reza-Ma Kurtosis.
• Collection of measures of association - obscure_stats/association:
  • Blomqvist's Beta;
  • Chatterjee Xi Correlation Coefficient (original and symmetric versions);
  • Concordance Correlation Coefficient;
  • Concordance Rate;
  • Gaussian Rank Correlation Coefficient;
  • Rank Minrelation Coefficient;
  • Tanimoto Similarity;
  • Tukey's Correlation Coefficient;
  • Winsorized Correlation Coefficient;
  • Zhang I Correlation Coefficient.
• Collection of measures of qualitative variation - obscure_stats/variation:
  • AVDev;
  • B Index;
  • Gibbs M1;
  • Gibbs M2;
  • McIntosh's D;
  • ModVR;
  • Negative Extropy;
  • RanVR;
  • Rényi entropy.

Installation

>>> pip install obscure_stats

Usage Example

>>> from obscure_stats.central_tendency import standard_trimmed_harrell_davis_quantile
>>> from obscure_stats.dispersion import standard_quantile_absolute_deviation

>>> data = [1.83, 1.01, 100.12, 1.20, 0.99, 0.87, 1.13, 100.01, 0.75, 1.03]
>>> central_tendency = standard_trimmed_harrell_davis_quantile(data)
>>> dispersion = standard_quantile_absolute_deviation(data)
>>> print(f"Robust measure of central tendency = {central_tendency:.2f}±{dispersion:.2f}")

Out[1]:
Robust measure of central tendency = 1.09±0.42

Code of Conduct

Code of Conduct for this project can be found here.

Contributing

Contribution guidelines for this project can be found here.

Security Policy

Security Policy for this project can be found here.

License

The content of this repository is licensed under a MIT license.

This repository bundles several libraries that are compatibly licensed. A full list can be found here.