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Beta Prime

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]

Beta prime distribution.

## Installation

bash
npm install @stdlib/stats-base-dists-betaprime

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 betaprime = require( '@stdlib/stats-base-dists-betaprime' );

#### betaprime

Beta prime distribution.

javascript
var dist = betaprime;
// returns {...}

The namespace contains the following distribution functions:

- [cdf( x, alpha, beta )][@stdlib/stats/base/dists/betaprime/cdf]: beta prime distribution cumulative distribution function.
- [logcdf( x, alpha, beta )][@stdlib/stats/base/dists/betaprime/logcdf]: evaluate the natural logarithm of the cumulative distribution function for a beta prime distribution .
- [logpdf( x, alpha, beta )][@stdlib/stats/base/dists/betaprime/logpdf]: beta prime distribution logarithm of probability density function (PDF).
- [pdf( x, alpha, beta )][@stdlib/stats/base/dists/betaprime/pdf]: beta prime distribution probability density function (PDF).
- [quantile( p, alpha, beta )][@stdlib/stats/base/dists/betaprime/quantile]: beta prime distribution quantile function.

The namespace contains the following functions for calculating distribution properties:

- [kurtosis( alpha, beta )][@stdlib/stats/base/dists/betaprime/kurtosis]: beta prime distribution excess kurtosis.
- [mean( alpha, beta )][@stdlib/stats/base/dists/betaprime/mean]: beta prime distribution expected value.
- [mode( alpha, beta )][@stdlib/stats/base/dists/betaprime/mode]: beta prime distribution mode.
- [skewness( alpha, beta )][@stdlib/stats/base/dists/betaprime/skewness]: beta prime distribution skewness.
- [stdev( alpha, beta )][@stdlib/stats/base/dists/betaprime/stdev]: beta prime distribution standard deviation.
- [variance( alpha, beta )][@stdlib/stats/base/dists/betaprime/variance]: beta prime distribution variance.

The namespace contains a constructor function for creating a [betaprime][betaprime-distribution] distribution object.

- [BetaPrime( [alpha, beta] )][@stdlib/stats/base/dists/betaprime/ctor]: beta prime distribution constructor.

javascript
var BetaPrime = require( '@stdlib/stats-base-dists-betaprime' ).BetaPrime;

var dist = new BetaPrime( 2.0, 4.0 );

var mu = dist.mean;
// returns ~0.667

## Examples

javascript
var objectKeys = require( '@stdlib/utils-keys' );
var betaprime = require( '@stdlib/stats-base-dists-betaprime' );

console.log( objectKeys( betaprime ) );

*

## 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]

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## License

See [LICENSE][stdlib-license].

## Copyright

Copyright © 2016-2025. The Stdlib [Authors][stdlib-authors].