@stdlib/stats-base-dists-beta-median
v0.2.3TypeScript
Beta distribution median.
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Published by The Stdlib Authors
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About stdlib...
Median
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> [Beta][beta-distribution] distribution [median][median].
The [median][median] for a [beta][beta-distribution] random variable is the value for which
the regularized incomplete beta function I(α,β) is equal to 0.5, i.e.
where α > 0 is the first shape parameter and β > 0 is the second shape parameter.
Installation
``bash`
npm install @stdlib/stats-base-dists-beta-median
Usage
`javascript`
var median = require( '@stdlib/stats-base-dists-beta-median' );
#### median( alpha, beta )
Returns the [median][median] of a [beta][beta-distribution] distribution with parameters alpha (first shape parameter) and beta (second shape parameter).
`javascript
var v = median( 1.0, 1.0 );
// returns 0.5
v = median( 4.0, 12.0 );
// returns ~0.239
v = median( 8.0, 2.0 );
// returns ~0.820
`
If provided NaN as any argument, the function returns NaN.
`javascript
var v = median( NaN, 2.0 );
// returns NaN
v = median( 2.0, NaN );
// returns NaN
`
If provided alpha <= 0, the function returns NaN.
`javascript
var v = median( 0.0, 1.0 );
// returns NaN
v = median( -1.0, 1.0 );
// returns NaN
`
If provided beta <= 0, the function returns NaN.
`javascript
var v = median( 1.0, 0.0 );
// returns NaN
v = median( 1.0, -1.0 );
// returns NaN
`
Examples
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var EPS = require( '@stdlib/constants-float64-eps' );
var median = require( '@stdlib/stats-base-dists-beta-median' );
var opts = {
'dtype': 'float64'
};
var alpha = uniform( 10, EPS, 10.0, opts );
var beta = uniform( 10, EPS, 10.0, opts );
logEachMap( 'α: %0.4f, β: %0.4f, Median(X;α,β): %0.4f', alpha, beta, median );
`
*
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-median.svg
[npm-url]: https://npmjs.org/package/@stdlib/stats-base-dists-beta-median
[test-image]: https://github.com/stdlib-js/stats-base-dists-beta-median/actions/workflows/test.yml/badge.svg?branch=v0.2.3
[test-url]: https://github.com/stdlib-js/stats-base-dists-beta-median/actions/workflows/test.yml?query=branch:v0.2.3
[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-base-dists-beta-median/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-beta-median?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-median/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-beta-median/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-beta-median/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-beta-median/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-beta-median/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-beta-median/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-beta-median/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-beta-median/main/LICENSE
[beta-distribution]: https://en.wikipedia.org/wiki/Beta_distribution
[median]: https://en.wikipedia.org/wiki/Median