> For the complete documentation index, see [llms.txt](https://math-5.gitbook.io/math/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://math-5.gitbook.io/math/reference/statistics.md).

# Statistics

maTH library also supports some distributions from statistics. Here's a list of them all:

<table data-full-width="true"><thead><tr><th>Distribution</th><th>Description</th><th data-type="content-ref">Source</th></tr></thead><tbody><tr><td><code>Binomial(n, p)</code></td><td>Number of successes in a sequence of n independent experiments, all with constant probability of p. </td><td><a href="/math/reference/statistics/binomial.md">Binomial</a></td></tr><tr><td><code>Poisson(lambda)</code></td><td>Expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate (lambda) and independently of the time since the last event.</td><td><a href="/math/reference/statistics/poisson.md">Poisson</a></td></tr><tr><td><code>Geometric(p)</code></td><td>Describes when the first success in an infinite sequence of independent and identically distributed Bernoulli trials occurs.</td><td><a href="/math/reference/statistics/geometric.md">Geometric</a></td></tr><tr><td><code>Pascal(r, p)</code></td><td>Also known as negative binomial distribution, expresses the number of failures in a sequence of independent and identically distributed Bernoulli trials before a specified number of successes (r) occurs.</td><td><a href="/math/reference/statistics/pascal.md">Pascal</a></td></tr><tr><td><code>Hypergeometric(K, N, n)</code></td><td>Describes the probability of k successes in n draws, without replacement, from a finite population of size N that contains exactly K objects with that feature, wherein each draw is either a success or a failure.</td><td><a href="/math/reference/statistics/hypergeometric.md">Hypergeometric</a></td></tr><tr><td><code>Exponential(lambda)</code></td><td>The probability distribution of the distance between events in a Poisson point process, i.e., a process in which events occur continuously and independently at a constant average rate (lambda)</td><td><a href="/math/reference/statistics/exponential.md">Exponential</a></td></tr><tr><td><code>Uniform(a, b)</code></td><td>Such a distribution describes an experiment where there is an arbitrary outcome that lies between certain bounds [a, b].</td><td><a href="/math/reference/statistics/uniform.md">Uniform</a></td></tr></tbody></table>
