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

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

- Overview of 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

This library is centred around statistical distributions, this tutorial will give you an overview of what they are, how they can be used, and provides a few worked examples of applying the library to statistical tests.