Mean

Chi distribution expected value.

The expected value for a chi random variable is

where k is the degrees of freedom.

Installation

npm install @stdlib/stats-base-dists-chi-mean

Usage

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

mean( k )

Returns the expected value of a chi distribution with degrees of freedom k.

var v = mean( 9.0 );
// returns ~2.918

v = mean( 0.5 );
// returns ~0.478

If provided k < 0, the function returns NaN.

var v = mean( -1.0 );
// returns NaN

Examples

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

var k;
var v;
var i;

for ( i = 0; i < 10; i++ ) {
    k = randu() * 20.0;
    v = mean( k );
    console.log( 'k: %d, E(X,k): %d', k.toFixed( 4 ), v.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.