npm package: @stdlib/stats-base-dists-betaprime
Description: Beta prime distribution.
Author: The Stdlib Authors
Latest version: 0.3.1

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# Beta Prime

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

> Beta prime distribution.

<section class="installation">

## Installation

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

</section>

<section class="usage">

## 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:

<!-- <toc pattern="*+(cdf|pdf|mgf|quantile)*"> -->

<div class="namespace-toc">

-   <span class="signature">[`cdf( x, alpha, beta )`][@stdlib/stats/base/dists/betaprime/cdf]</span><span class="delimiter">: </span><span class="description">beta prime distribution cumulative distribution function.</span>
-   <span class="signature">[`logcdf( x, alpha, beta )`][@stdlib/stats/base/dists/betaprime/logcdf]</span><span class="delimiter">: </span><span class="description">evaluate the natural logarithm of the cumulative distribution function for a beta prime distribution.</span>
-   <span class="signature">[`logpdf( x, alpha, beta )`][@stdlib/stats/base/dists/betaprime/logpdf]</span><span class="delimiter">: </span><span class="description">beta prime distribution logarithm of probability density function (PDF).</span>
-   <span class="signature">[`pdf( x, alpha, beta )`][@stdlib/stats/base/dists/betaprime/pdf]</span><span class="delimiter">: </span><span class="description">beta prime distribution probability density function (PDF).</span>
-   <span class="signature">[`quantile( p, alpha, beta )`][@stdlib/stats/base/dists/betaprime/quantile]</span><span class="delimiter">: </span><span class="description">beta prime distribution quantile function.</span>

</div>

<!-- </toc> -->

The namespace contains the following functions for calculating distribution properties:

<!-- <toc pattern="*+(entropy|kurtosis|mean|median|mode|skewness|stdev|variance)*"> -->

<div class="namespace-toc">

-   <span class="signature">[`kurtosis( alpha, beta )`][@stdlib/stats/base/dists/betaprime/kurtosis]</span><span class="delimiter">: </span><span class="description">beta prime distribution excess kurtosis.</span>
-   <span class="signature">[`mean( alpha, beta )`][@stdlib/stats/base/dists/betaprime/mean]</span><span class="delimiter">: </span><span class="description">beta prime distribution expected value.</span>
-   <span class="signature">[`mode( alpha, beta )`][@stdlib/stats/base/dists/betaprime/mode]</span><span class="delimiter">: </span><span class="description">beta prime distribution mode.</span>
-   <span class="signature">[`skewness( alpha, beta )`][@stdlib/stats/base/dists/betaprime/skewness]</span><span class="delimiter">: </span><span class="description">beta prime distribution skewness.</span>
-   <span class="signature">[`stdev( alpha, beta )`][@stdlib/stats/base/dists/betaprime/stdev]</span><span class="delimiter">: </span><span class="description">beta prime distribution standard deviation.</span>
-   <span class="signature">[`variance( alpha, beta )`][@stdlib/stats/base/dists/betaprime/variance]</span><span class="delimiter">: </span><span class="description">beta prime distribution variance.</span>

</div>

<!-- </toc> -->

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

<!-- <toc pattern="*ctor*"> -->

<div class="namespace-toc">

-   <span class="signature">[`BetaPrime( [alpha, beta] )`][@stdlib/stats/base/dists/betaprime/ctor]</span><span class="delimiter">: </span><span class="description">beta prime distribution constructor.</span>

</div>

<!-- </toc> -->

```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
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

<!-- TODO: better examples -->

<!-- eslint no-undef: "error" -->

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

console.log( objectKeys( betaprime ) );
```

</section>

<!-- /.examples -->

<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->

<section class="related">

</section>

<!-- /.related -->

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<section class="main-repo" >

* * *

## 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].

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---

## License

See [LICENSE][stdlib-license].


## Copyright

Copyright &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].

</section>

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[betaprime-distribution]: https://en.wikipedia.org/wiki/Beta_prime_distribution

<!-- <toc-links> -->

[@stdlib/stats/base/dists/betaprime/ctor]: https://www.npmjs.com/package/@stdlib/stats-base-dists-betaprime-ctor

[@stdlib/stats/base/dists/betaprime/kurtosis]: https://www.npmjs.com/package/@stdlib/stats-base-dists-betaprime-kurtosis

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[@stdlib/stats/base/dists/betaprime/variance]: https://www.npmjs.com/package/@stdlib/stats-base-dists-betaprime-variance

[@stdlib/stats/base/dists/betaprime/cdf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-betaprime-cdf

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[@stdlib/stats/base/dists/betaprime/logpdf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-betaprime-logpdf

[@stdlib/stats/base/dists/betaprime/pdf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-betaprime-pdf

[@stdlib/stats/base/dists/betaprime/quantile]: https://www.npmjs.com/package/@stdlib/stats-base-dists-betaprime-quantile

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