@stdlib/stats-base-dists-arcsine-kurtosis
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    0.0.6 • Public • Published

    Kurtosis

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    Arcsine distribution excess kurtosis.

    The excess kurtosis for an arcsine random variable with minimum support a and maximum support b is

    Excess kurtosis for an arcsine distribution.

    Installation

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

    Usage

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

    kurtosis( a, b )

    Returns the excess kurtosis of an arcsine distribution with parameters a (minimum support) and b (maximum support).

    var v = kurtosis( 0.0, 1.0 );
    // returns -1.5
    
    v = kurtosis( 4.0, 12.0 );
    // returns -1.5
    
    v = kurtosis( 2.0, 8.0 );
    // returns -1.5

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

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

    If provided a >= b, the function returns NaN.

    var y = kurtosis( 3.0, 2.0 );
    // returns NaN
    
    y = kurtosis( 3.0, 3.0 );
    // returns NaN

    Examples

    var randu = require( '@stdlib/random-base-randu' );
    var kurtosis = require( '@stdlib/stats-base-dists-arcsine-kurtosis' );
    
    var a;
    var b;
    var v;
    var i;
    
    for ( i = 0; i < 10; i++ ) {
        a = ( randu()*10.0 );
        b = ( randu()*10.0 ) + a;
        v = kurtosis( a, b );
        console.log( 'a: %d, b: %d, Kurt(X;a,b): %d', a.toFixed( 4 ), b.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 © 2016-2021. The Stdlib Authors.

    Install

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

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    12

    Version

    0.0.6

    License

    Apache-2.0

    Unpacked Size

    44.6 kB

    Total Files

    10

    Last publish

    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser