...one of the most highly
regarded and expertly designed C++ library projects in the
world.

— Herb Sutter and Andrei
Alexandrescu, C++
Coding Standards

**Table of Contents**

- Statistical Distributions Tutorial
- Overview of Statistical Distributions
- Worked Examples
- Distribution Construction Examples
- Student's t Distribution Examples
- Calculating confidence intervals on the mean with the Students-t distribution
- Testing a sample mean for difference from a "true" mean
- Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test
- Comparing the means of two samples with the Students-t test
- Comparing two paired samples with the Student's t distribution

- Chi Squared Distribution Examples
- F Distribution Examples
- Binomial Distribution Examples
- Geometric Distribution Examples
- Negative Binomial Distribution Examples
- Normal Distribution Examples
- Inverse Chi-Squared Distribution Bayes Example
- Non Central Chi Squared Example
- Error Handling Example
- Find Location and Scale Examples
- Comparison with C, R, FORTRAN-style Free Functions
- Using the Distributions from Within C#

- Random Variates and Distribution Parameters
- Discrete Probability Distributions

- Statistical Distributions Reference
- Non-Member Properties
- Distributions
- Arcsine Distribution
- Bernoulli Distribution
- Beta Distribution
- Binomial Distribution
- Cauchy-Lorentz Distribution
- Chi Squared Distribution
- Empirical Cumulative Distribution Function
- Exponential Distribution
- Extreme Value Distribution
- F Distribution
- Gamma (and Erlang) Distribution
- Geometric Distribution
- Hyperexponential Distribution
- Hypergeometric Distribution
- Inverse Chi Squared Distribution
- Inverse Gamma Distribution
- Inverse Gaussian (or Inverse Normal) Distribution
- Kolmogorov-Smirnov Distribution
- Laplace Distribution
- Logistic Distribution
- Log Normal Distribution
- Negative Binomial Distribution
- Noncentral Beta Distribution
- Noncentral Chi-Squared Distribution
- Noncentral F Distribution
- Noncentral T Distribution
- Normal (Gaussian) Distribution
- Pareto Distribution
- Poisson Distribution
- Rayleigh Distribution
- Skew Normal Distribution
- Students t Distribution
- Triangular Distribution
- Uniform Distribution
- Weibull Distribution

- Distribution Algorithms

- Extras/Future Directions