@stdlib/stats-base-dists-beta-quantile
v0.2.3TypeScript
Beta distribution quantile function.
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Published by The Stdlib Authors
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Quantile Function
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> [Beta][beta-distribution] distribution [quantile function][quantile-function].
The [quantile function][quantile-function] for a [beta][beta-distribution] random variable is
for 0 <= p <= 1, where α > 0 is the first shape parameter and β > 0 is the second shape parameter and F(x;α,β) denotes the cumulative distribution function of a [beta][beta-distribution] random variable with parameters α and β.
Installation
``bash`
npm install @stdlib/stats-base-dists-beta-quantile
Usage
`javascript`
var quantile = require( '@stdlib/stats-base-dists-beta-quantile' );
#### quantile( p, alpha, beta )
Evaluates the [quantile function][quantile-function] for a [beta][beta-distribution] distribution with parameters alpha (first shape parameter) and beta (second shape parameter).
`javascript
var y = quantile( 0.8, 2.0, 1.0 );
// returns ~0.894
y = quantile( 0.5, 4.0, 2.0 );
// returns ~0.686
`
If provided a probability p outside the interval [0,1], the function returns NaN.
`javascript
var y = quantile( 1.9, 1.0, 1.0 );
// returns NaN
y = quantile( -0.1, 1.0, 1.0 );
// returns NaN
`
If provided NaN as any argument, the function returns NaN.
`javascript
var y = quantile( NaN, 1.0, 1.0 );
// returns NaN
y = quantile( 0.5, NaN, 1.0 );
// returns NaN
y = quantile( 0.5, 1.0, NaN );
// returns NaN
`
If provided alpha <= 0, the function returns NaN.
`javascript
var y = quantile( 0.4, -1.0, 1.0 );
// returns NaN
y = quantile( 0.4, 0.0, 1.0 );
// returns NaN
`
If provided beta <= 0, the function returns NaN.
`javascript
var y = quantile( 0.4, 1.0, -1.0 );
// returns NaN
y = quantile( 0.4, 1.0, 0.0 );
// returns NaN
`
#### quantile.factory( alpha, beta )
Returns a function for evaluating the [quantile function][quantile-function] of a [beta][beta-distribution] distribution with parameters alpha (first shape parameter) and beta (second shape parameter).
`javascript
var myquantile = quantile.factory( 2.0, 2.0 );
var y = myquantile( 0.8 );
// returns ~0.713
y = myquantile( 0.4 );
// returns ~0.433
`
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 quantile = require( '@stdlib/stats-base-dists-beta-quantile' );
var opts = {
'dtype': 'float64'
};
var alpha = uniform( 10, EPS, 5.0, opts );
var beta = uniform( 10, EPS, 5.0, opts );
var p = uniform( 10, 0.0, 1.0, opts );
logEachMap( 'p: %0.4f, α: %0.4f, β: %0.4f, Q(p;α,β): %0.4f', p, alpha, beta, quantile );
`
*
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].
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[test-url]: https://github.com/stdlib-js/stats-base-dists-beta-quantile/actions/workflows/test.yml?query=branch:v0.2.3
[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-base-dists-beta-quantile/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-beta-quantile?branch=main
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[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-quantile/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-beta-quantile/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-beta-quantile/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-beta-quantile/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-beta-quantile/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-beta-quantile/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-beta-quantile/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-beta-quantile/main/LICENSE
[beta-distribution]: https://en.wikipedia.org/wiki/Beta_distribution
[quantile-function]: https://en.wikipedia.org/wiki/Quantile_function