https://github.com/stdlib-js/stats-base-dists-beta
Beta distribution.
https://github.com/stdlib-js/stats-base-dists-beta
beta continuous dist distribution javascript lib library node node-js nodejs prob probability standard statistics stats stdlib univariate
Last synced: 3 days ago
JSON representation
Beta distribution.
- Host: GitHub
- URL: https://github.com/stdlib-js/stats-base-dists-beta
- Owner: stdlib-js
- License: apache-2.0
- Created: 2021-06-15T17:43:49.000Z (about 5 years ago)
- Default Branch: main
- Last Pushed: 2026-06-16T03:42:10.000Z (5 days ago)
- Last Synced: 2026-06-16T05:22:41.191Z (5 days ago)
- Topics: beta, continuous, dist, distribution, javascript, lib, library, node, node-js, nodejs, prob, probability, standard, statistics, stats, stdlib, univariate
- Language: JavaScript
- Homepage: https://github.com/stdlib-js/stdlib
- Size: 3.79 MB
- Stars: 4
- Watchers: 2
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- Changelog: CHANGELOG.md
- Contributing: CONTRIBUTING.md
- License: LICENSE
- Code of conduct: CODE_OF_CONDUCT.md
- Citation: CITATION.cff
- Security: SECURITY.md
- Notice: NOTICE
Awesome Lists containing this project
README
About stdlib...
We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.
The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.
When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.
To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!
# Beta
[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]
> Beta distribution.
## Installation
```bash
npm install @stdlib/stats-base-dists-beta
```
Alternatively,
- To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]).
- If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions).
- For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]).
The [branches.md][branches-url] file summarizes the available branches and displays a diagram illustrating their relationships.
To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.
## Usage
```javascript
var beta = require( '@stdlib/stats-base-dists-beta' );
```
#### beta
[Beta][beta-distribution] distribution.
```javascript
var dist = beta;
// returns {...}
```
The namespace contains the following distribution functions:
- [`cdf( x, alpha, beta )`][@stdlib/stats/base/dists/beta/cdf]: beta distribution cumulative distribution function.
- [`logcdf( x, alpha, beta )`][@stdlib/stats/base/dists/beta/logcdf]: beta distribution logarithm of cumulative distribution function.
- [`logpdf( x, alpha, beta )`][@stdlib/stats/base/dists/beta/logpdf]: beta distribution logarithm of probability density function (PDF).
- [`mgf( t, alpha, beta )`][@stdlib/stats/base/dists/beta/mgf]: beta distribution moment-generating function (MGF).
- [`pdf( x, alpha, beta )`][@stdlib/stats/base/dists/beta/pdf]: beta distribution probability density function (PDF).
- [`quantile( p, alpha, beta )`][@stdlib/stats/base/dists/beta/quantile]: beta distribution quantile function.
The namespace contains the following functions for calculating distribution properties:
- [`entropy( alpha, beta )`][@stdlib/stats/base/dists/beta/entropy]: beta distribution differential entropy.
- [`kurtosis( alpha, beta )`][@stdlib/stats/base/dists/beta/kurtosis]: beta distribution excess kurtosis.
- [`mean( alpha, beta )`][@stdlib/stats/base/dists/beta/mean]: beta distribution expected value.
- [`median( alpha, beta )`][@stdlib/stats/base/dists/beta/median]: beta distribution median.
- [`mode( alpha, beta )`][@stdlib/stats/base/dists/beta/mode]: beta distribution mode.
- [`skewness( alpha, beta )`][@stdlib/stats/base/dists/beta/skewness]: beta distribution skewness.
- [`stdev( alpha, beta )`][@stdlib/stats/base/dists/beta/stdev]: beta distribution standard deviation.
- [`variance( alpha, beta )`][@stdlib/stats/base/dists/beta/variance]: beta distribution variance.
The namespace contains a constructor function for creating a [beta][beta-distribution] distribution object.
- [`Beta( [alpha, beta] )`][@stdlib/stats/base/dists/beta/ctor]: beta distribution constructor.
```javascript
var Beta = require( '@stdlib/stats-base-dists-beta' ).Beta;
var dist = new Beta( 2.0, 4.0 );
var mu = dist.mean;
// returns ~0.333
```
## Examples
```javascript
var objectKeys = require( '@stdlib/utils-keys' );
var beta = require( '@stdlib/stats-base-dists-beta' );
console.log( objectKeys( beta ) );
```
* * *
## Notice
This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.
For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].
#### Community
[![Chat][chat-image]][chat-url]
---
## License
See [LICENSE][stdlib-license].
## Copyright
Copyright © 2016-2026. The Stdlib [Authors][stdlib-authors].
[npm-image]: http://img.shields.io/npm/v/@stdlib/stats-base-dists-beta.svg
[npm-url]: https://npmjs.org/package/@stdlib/stats-base-dists-beta
[test-image]: https://github.com/stdlib-js/stats-base-dists-beta/actions/workflows/test.yml/badge.svg?branch=main
[test-url]: https://github.com/stdlib-js/stats-base-dists-beta/actions/workflows/test.yml?query=branch:main
[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-base-dists-beta/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-beta?branch=main
[chat-image]: https://img.shields.io/badge/zulip-join_chat-brightgreen.svg
[chat-url]: https://stdlib.zulipchat.com
[stdlib]: https://github.com/stdlib-js/stdlib
[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors
[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules
[deno-url]: https://github.com/stdlib-js/stats-base-dists-beta/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-beta/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-beta/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-beta/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-beta/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-beta/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-beta/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-beta/main/LICENSE
[beta-distribution]: https://en.wikipedia.org/wiki/Beta_distribution
[@stdlib/stats/base/dists/beta/ctor]: https://github.com/stdlib-js/stats-base-dists-beta-ctor
[@stdlib/stats/base/dists/beta/entropy]: https://github.com/stdlib-js/stats-base-dists-beta-entropy
[@stdlib/stats/base/dists/beta/kurtosis]: https://github.com/stdlib-js/stats-base-dists-beta-kurtosis
[@stdlib/stats/base/dists/beta/mean]: https://github.com/stdlib-js/stats-base-dists-beta-mean
[@stdlib/stats/base/dists/beta/median]: https://github.com/stdlib-js/stats-base-dists-beta-median
[@stdlib/stats/base/dists/beta/mode]: https://github.com/stdlib-js/stats-base-dists-beta-mode
[@stdlib/stats/base/dists/beta/skewness]: https://github.com/stdlib-js/stats-base-dists-beta-skewness
[@stdlib/stats/base/dists/beta/stdev]: https://github.com/stdlib-js/stats-base-dists-beta-stdev
[@stdlib/stats/base/dists/beta/variance]: https://github.com/stdlib-js/stats-base-dists-beta-variance
[@stdlib/stats/base/dists/beta/cdf]: https://github.com/stdlib-js/stats-base-dists-beta-cdf
[@stdlib/stats/base/dists/beta/logcdf]: https://github.com/stdlib-js/stats-base-dists-beta-logcdf
[@stdlib/stats/base/dists/beta/logpdf]: https://github.com/stdlib-js/stats-base-dists-beta-logpdf
[@stdlib/stats/base/dists/beta/mgf]: https://github.com/stdlib-js/stats-base-dists-beta-mgf
[@stdlib/stats/base/dists/beta/pdf]: https://github.com/stdlib-js/stats-base-dists-beta-pdf
[@stdlib/stats/base/dists/beta/quantile]: https://github.com/stdlib-js/stats-base-dists-beta-quantile