@stdlib/stats-base-dists-binomial-quantile
v0.2.3TypeScript
Binomial distribution quantile function.
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Published by The Stdlib Authors
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About stdlib...
Quantile Function
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> [Binomial][binomial-distribution] distribution [quantile function][quantile-function].
The [quantile function][quantile-function] for a [binomial][binomial-distribution] random variable returns, for any r satisfying 0 <= r <= 1, the value x for which the relation
holds, where F is the cumulative distribution function (CDF) of a binomial random variable, n is the number of trials, and 0 <= p <= 1 is the success probability.
Installation
``bash`
npm install @stdlib/stats-base-dists-binomial-quantile
Usage
`javascript`
var quantile = require( '@stdlib/stats-base-dists-binomial-quantile' );
#### quantile( r, n, p )
Evaluates the [quantile function][quantile-function] for a [binomial][binomial-distribution] distribution with number of trials n and success probability p at value r.
`javascript
var y = quantile( 0.4, 20, 0.2 );
// returns 3
y = quantile( 0.8, 20, 0.2 );
// returns 5
y = quantile( 0.5, 10, 0.4 );
// returns 4
y = quantile( 0.0, 10, 0.4 );
// returns 0
y = quantile( 1.0, 10, 0.4 );
// returns 10
`
If provided NaN as any argument, the function returns NaN.
`javascript
var y = quantile( NaN, 20, 0.5 );
// returns NaN
y = quantile( 0.2, NaN, 0.5 );
// returns NaN
y = quantile( 0.2, 20, NaN );
// returns NaN
`
If provided a number of trials n which is not a nonnegative integer, the function returns NaN.
`javascript
var y = quantile( 0.5, 1.5, 0.5 );
// returns NaN
y = quantile( 0.5, -2.0, 0.5 );
// returns NaN
`
If provided a success probability p outside of [0,1], the function returns NaN.
`javascript
var y = quantile( 0.5, 20, -1.0 );
// returns NaN
y = quantile( 0.5, 20, 1.5 );
// returns NaN
`
#### quantile.factory( n, p )
Returns a function for evaluating the [quantile function][quantile-function] of a [binomial][binomial-distribution] distribution with number of trials n and success probability p.
`javascript
var myquantile = quantile.factory( 10, 0.5 );
var y = myquantile( 0.1 );
// returns 3
y = myquantile( 0.9 );
// returns 7
`
Examples
`javascript
var discreteUniform = require( '@stdlib/random-array-discrete-uniform' );
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var quantile = require( '@stdlib/stats-base-dists-binomial-quantile' );
var opts = {
'dtype': 'float64'
};
var r = uniform( 10, 0.0, 1.0, opts );
var n = discreteUniform( 10, 0, 100, opts );
var p = uniform( 10, 0.0, 1.0, opts );
logEachMap( 'r: %0.4f, n: %0.4f, p: %0.4f, Q(r;n,p): %0.4f', r, n, p, 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-binomial-quantile/actions/workflows/test.yml?query=branch:v0.2.3
[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-base-dists-binomial-quantile/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-binomial-quantile?branch=main
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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-binomial-quantile/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-binomial-quantile/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-binomial-quantile/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-binomial-quantile/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-binomial-quantile/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-binomial-quantile/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-binomial-quantile/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-binomial-quantile/main/LICENSE
[binomial-distribution]: https://en.wikipedia.org/wiki/Binomial_distribution
[quantile-function]: https://en.wikipedia.org/wiki/Quantile_function