@stdlib/stats-base-dists-betaprime-stdev

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Standard Deviation

Beta prime distribution standard deviation.

The standard deviation for a beta prime random variable with first shape parameter α and second shape parameter β is

when α > 0 and β > 2. Otherwise, the standard deviation is not defined.

Installation

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

Usage

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

stdev( alpha, beta )

Returns the standard deviation of a beta prime distribution with parameters alpha (first shape parameter) and beta (second shape parameter).

var v = stdev( 1.0, 3.0 );
// returns ~0.866

v = stdev( 4.0, 12.0 );
// returns ~0.223

v = stdev( 8.0, 2.5 );
// returns ~8.219

If provided NaN as any argument, the function returns NaN.

var v = stdev( NaN, 2.0 );
// returns NaN

v = stdev( 2.0, NaN );
// returns NaN

If provided alpha <= 0, the function returns NaN.

var v = stdev( 0.0, 1.0 );
// returns NaN

v = stdev( -1.0, 1.0 );
// returns NaN

If provided beta <= 2, the function returns NaN.

var v = stdev( 1.0, 2.0 );
// returns NaN

v = stdev( 1.0, 0.0 );
// returns NaN

v = stdev( 1.0, -1.0 );
// returns NaN

Examples

var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var EPS = require( '@stdlib/constants-float64-eps' );
var stdev = require( '@stdlib/stats-base-dists-betaprime-stdev' );

var opts = {
    'dtype': 'float64'
};
var alpha = uniform( 10, EPS, 10.0, opts );
var beta = uniform( 10, 2.0 + EPS, 10.0, opts );

logEachMap( 'α: %0.4f, β: %0.4f, SD(X;α,β): %0.4f', alpha, beta, stdev );

C APIs

Usage

#include "stdlib/stats/base/dists/betaprime/stdev.h"

stdlib_base_dists_betaprime_stdev( alpha, beta )

Returns the standard deviation of a beta prime distribution.

double out = stdlib_base_dists_betaprime_stdev( 1.0, 3.0 );
// returns ~0.866

The function accepts the following arguments:

• alpha: [in] double first shape parameter.
• beta: [in] double second shape parameter.

double stdlib_base_dists_betaprime_stdev( const double alpha, const double beta );

Examples

#include "stdlib/stats/base/dists/betaprime/stdev.h"
#include <stdlib.h>
#include <stdio.h>

static double random_uniform( const double min, const double max ) {
    double v = (double)rand() / ( (double)RAND_MAX + 1.0 );
    return min + ( v * ( max - min ) );
}

int main( void ) {
    double alpha;
    double beta;
    double y;
    int i;

    for ( i = 0; i < 25; i++ ) {
        alpha = random_uniform( 0.0, 20.0 );
        beta = random_uniform( 2.0, 22.0 );
        y = stdlib_base_dists_betaprime_stdev( alpha, beta );
        printf( "α: %lf, β: %lf, SD(X;α,β): %lf\n", alpha, beta, y );
    }
}

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 © 2016-2026. The Stdlib Authors.