Beta Prime

Beta prime distribution.

Installation

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

Usage

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

betaprime

Beta prime distribution.

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

The namespace contains the following distribution functions:

• cdf( x, alpha, beta ): beta prime distribution cumulative distribution function.
• logcdf( x, alpha, beta ): evaluate the natural logarithm of the cumulative distribution function for a beta prime distribution .
• logpdf( x, alpha, beta ): beta prime distribution logarithm of probability density function (PDF).
• pdf( x, alpha, beta ): beta prime distribution probability density function (PDF).
• quantile( p, alpha, beta ): beta prime distribution quantile function.

The namespace contains the following functions for calculating distribution properties:

• kurtosis( alpha, beta ): beta prime distribution excess kurtosis.
• mean( alpha, beta ): beta prime distribution expected value.
• mode( alpha, beta ): beta prime distribution mode.
• skewness( alpha, beta ): beta prime distribution skewness.
• stdev( alpha, beta ): beta prime distribution standard deviation.
• variance( alpha, beta ): beta prime distribution variance.

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

• BetaPrime( [alpha, beta] ): beta prime distribution constructor.

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

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, 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, see the main project repository.

Community

License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.