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Beta prime distribution constructor.
npm install @stdlib/stats-base-dists-betaprime-ctorAlternatively,
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var BetaPrime = require( '@stdlib/stats-base-dists-betaprime-ctor' );Returns a beta prime distribution object.
var betaprime = new BetaPrime();
var mode = betaprime.mode;
// returns 0.0By default, alpha = 1.0 and beta = 1.0. To create a distribution having a different alpha (first shape parameter) and beta (second shape parameter), provide the corresponding arguments.
var betaprime = new BetaPrime( 2.0, 4.0 );
var mu = betaprime.mean;
// returns ~0.667A beta prime distribution object has the following properties and methods...
First shape parameter of the distribution. alpha must be a positive number.
var betaprime = new BetaPrime();
var alpha = betaprime.alpha;
// returns 1.0
betaprime.alpha = 3.0;
alpha = betaprime.alpha;
// returns 3.0Second shape parameter of the distribution. beta must be a positive number.
var betaprime = new BetaPrime( 2.0, 4.0 );
var b = betaprime.beta;
// returns 4.0
betaprime.beta = 3.0;
b = betaprime.beta;
// returns 3.0Returns the excess kurtosis.
var betaprime = new BetaPrime( 4.0, 12.0 );
var kurtosis = betaprime.kurtosis;
// returns ~5.764Returns the expected value.
var betaprime = new BetaPrime( 4.0, 12.0 );
var mu = betaprime.mean;
// returns ~0.364Returns the mode.
var betaprime = new BetaPrime( 4.0, 12.0 );
var mode = betaprime.mode;
// returns ~0.231Returns the skewness.
var betaprime = new BetaPrime( 4.0, 12.0 );
var skewness = betaprime.skewness;
// returns ~1.724Returns the standard deviation.
var betaprime = new BetaPrime( 4.0, 12.0 );
var s = betaprime.stdev;
// returns ~0.223Returns the variance.
var betaprime = new BetaPrime( 4.0, 12.0 );
var s2 = betaprime.variance;
// returns ~0.05Evaluates the cumulative distribution function (CDF).
var betaprime = new BetaPrime( 2.0, 4.0 );
var y = betaprime.cdf( 0.5 );
// returns ~0.539Evaluates the natural logarithm of the cumulative distribution function (CDF).
var betaprime = new BetaPrime( 2.0, 4.0 );
var y = betaprime.logcdf( 0.5 );
// returns ~-0.618Evaluates the natural logarithm of the probability density function (PDF).
var betaprime = new BetaPrime( 2.0, 4.0 );
var y = betaprime.logpdf( 0.8 );
// returns ~-0.754Evaluates the probability density function (PDF).
var betaprime = new BetaPrime( 2.0, 4.0 );
var y = betaprime.pdf( 0.8 );
// returns ~0.47Evaluates the quantile function at probability p.
var betaprime = new BetaPrime( 2.0, 4.0 );
var y = betaprime.quantile( 0.5 );
// returns ~0.457
y = betaprime.quantile( 1.9 );
// returns NaNvar BetaPrime = require( '@stdlib/stats-base-dists-betaprime-ctor' );
var betaprime = new BetaPrime( 2.0, 4.0 );
var mu = betaprime.mean;
// returns ~0.667
var mode = betaprime.mode;
// returns 0.2
var s2 = betaprime.variance;
// returns ~0.556
var y = betaprime.cdf( 0.8 );
// returns ~0.735This 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.
See LICENSE.
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