Beta distribution.
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> Beta distribution.
``bash`
npm install @stdlib/stats-base-dists-beta
`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
`
`javascript
var objectKeys = require( '@stdlib/utils-keys' );
var beta = require( '@stdlib/stats-base-dists-beta' );
console.log( objectKeys( beta ) );
`
*
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].
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---
See [LICENSE][stdlib-license].
Copyright © 2016-2026. The Stdlib [Authors][stdlib-authors].
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[stdlib]: https://github.com/stdlib-js/stdlib
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[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://www.npmjs.com/package/@stdlib/stats-base-dists-beta-ctor
[@stdlib/stats/base/dists/beta/entropy]: https://www.npmjs.com/package/@stdlib/stats-base-dists-beta-entropy
[@stdlib/stats/base/dists/beta/kurtosis]: https://www.npmjs.com/package/@stdlib/stats-base-dists-beta-kurtosis
[@stdlib/stats/base/dists/beta/mean]: https://www.npmjs.com/package/@stdlib/stats-base-dists-beta-mean
[@stdlib/stats/base/dists/beta/median]: https://www.npmjs.com/package/@stdlib/stats-base-dists-beta-median
[@stdlib/stats/base/dists/beta/mode]: https://www.npmjs.com/package/@stdlib/stats-base-dists-beta-mode
[@stdlib/stats/base/dists/beta/skewness]: https://www.npmjs.com/package/@stdlib/stats-base-dists-beta-skewness
[@stdlib/stats/base/dists/beta/stdev]: https://www.npmjs.com/package/@stdlib/stats-base-dists-beta-stdev
[@stdlib/stats/base/dists/beta/variance]: https://www.npmjs.com/package/@stdlib/stats-base-dists-beta-variance
[@stdlib/stats/base/dists/beta/cdf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-beta-cdf
[@stdlib/stats/base/dists/beta/logcdf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-beta-logcdf
[@stdlib/stats/base/dists/beta/logpdf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-beta-logpdf
[@stdlib/stats/base/dists/beta/mgf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-beta-mgf
[@stdlib/stats/base/dists/beta/pdf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-beta-pdf
[@stdlib/stats/base/dists/beta/quantile]: https://www.npmjs.com/package/@stdlib/stats-base-dists-beta-quantile