Skewness

Rayleigh distribution skewness.

The skewness for a Rayleigh random variable is

where σ > 0 is the scale parameter.

Installation

npm install @stdlib/stats-base-dists-rayleigh-skewness

Usage

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

skewness( sigma )

Returns the skewness of a Rayleigh distribution with scale parameter sigma.

var y = skewness( 9.0 );
// returns ~0.631

y = skewness( 3.5 );
// returns ~0.631

If provided sigma < 0, the function returns NaN.

var y = skewness( -1.0 );
// returns NaN

Examples

var randu = require( '@stdlib/random-base-randu' );
var round = require( '@stdlib/math-base-special-round' );
var skewness = require( '@stdlib/stats-base-dists-rayleigh-skewness' );

var sigma;
var y;
var i;

for ( i = 0; i < 10; i++ ) {
    sigma = randu() * 20.0;
    y = skewness( sigma );
    console.log( 'σ: %d, skew(X,σ): %d', sigma.toFixed( 4 ), y.toFixed( 4 ) );
}

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.