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Mean

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Chi-squared distribution expected value.

The expected value for a chi-squared random variable is

Expected value for a chi-squared distribution.

where k is the degrees of freedom.

Installation

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

Alternatively,

The branches.md file summarizes the available branches and displays a diagram illustrating their relationships.

Usage

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

mean( k )

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

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

v = mean( 0.5 );
// returns 0.5

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-chisquare-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.

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License

See LICENSE.

Copyright

Copyright © 2016-2022. The Stdlib Authors.