Nothing Precedes Matter

    @stdlib/stats-base-dists-chi-kurtosis
    TypeScript icon, indicating that this package has built-in type declarations

    0.0.7 • Public • Published

    Kurtosis

    NPM version Build Status Coverage Status

    Chi distribution excess kurtosis.

    The excess kurtosis for a chi random variable with degrees of freedom k is

    Excess kurtosis for a chi distribution.

    where μ is the mean of the distribution, σ its standard deviation, and γ_1 the skewness.

    Installation

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

    Usage

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

    kurtosis( k )

    Returns the excess kurtosis of a chi distribution with degrees of freedom k.

    var v = kurtosis( 9.0 );
    // returns ~0.011
    
    v = kurtosis( 0.5 );
    // returns ~2.534

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

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

    Examples

    var randu = require( '@stdlib/random-base-randu' );
    var round = require( '@stdlib/math-base-special-round' );
    var kurtosis = require( '@stdlib/stats-base-dists-chi-kurtosis' );
    
    var k;
    var v;
    var i;
    
    for ( i = 0; i < 10; i++ ) {
        k = randu() * 20.0;
        v = kurtosis( k );
        console.log( 'k: %d, Kurt(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

    Chat


    License

    See LICENSE.

    Copyright

    Copyright © 2016-2022. The Stdlib Authors.

    Install

    npm i @stdlib/stats-base-dists-chi-kurtosis

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    95

    Version

    0.0.7

    License

    Apache-2.0

    Unpacked Size

    33 kB

    Total Files

    10

    Last publish

    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser