statistics-0.13.3.0: A library of statistical types, data, and functions

# statistics-0.13.3.0: A library of statistical types, data, and functions

This library provides a number of common functions and types useful in statistics. We focus on high performance, numerical robustness, and use of good algorithms. Where possible, we provide references to the statistical literature.

The library's facilities can be divided into four broad categories:

- Working with widely used discrete and continuous probability distributions. (There are dozens of exotic distributions in use; we focus on the most common.)
- Computing with sample data: quantile estimation, kernel density estimation, histograms, bootstrap methods, significance testing, and regression and autocorrelation analysis.
- Random variate generation under several different distributions.
- Common statistical tests for significant differences between samples.

Modules

- Statistics
  - Statistics.Autocorrelation
  - Statistics.Constants
  - Statistics.Correlation
    - Statistics.Correlation.Kendall
  - Statistics.Distribution
    - Statistics.Distribution.Beta
    - Statistics.Distribution.Binomial
    - Statistics.Distribution.CauchyLorentz
    - Statistics.Distribution.ChiSquared
    - Statistics.Distribution.Exponential
    - Statistics.Distribution.FDistribution
    - Statistics.Distribution.Gamma
    - Statistics.Distribution.Geometric
    - Statistics.Distribution.Hypergeometric
    - Statistics.Distribution.Laplace
    - Statistics.Distribution.Normal
    - Statistics.Distribution.Poisson
    - Statistics.Distribution.StudentT
    - Statistics.Distribution.Transform
    - Statistics.Distribution.Uniform
  - Statistics.Function
  - Math
    - Statistics.Math.RootFinding
  - Statistics.Matrix
    - Statistics.Matrix.Algorithms
    - Statistics.Matrix.Mutable
    - Statistics.Matrix.Types
  - Statistics.Quantile
  - Statistics.Regression
  - Statistics.Resampling
    - Statistics.Resampling.Bootstrap
  - Statistics.Sample
    - Statistics.Sample.Histogram
    - Statistics.Sample.KernelDensity
      - Statistics.Sample.KernelDensity.Simple
    - Statistics.Sample.Powers
  - Test
    - Statistics.Test.ChiSquared
    - Statistics.Test.KolmogorovSmirnov
    - Statistics.Test.KruskalWallis
    - Statistics.Test.MannWhitneyU
    - Statistics.Test.Types
    - Statistics.Test.WilcoxonT
  - Statistics.Transform
  - Statistics.Types