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    @stdlib/stats-base-dists-kumaraswamy-stdev
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    Standard Deviation

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    Kumaraswamy's double bounded distribution standard deviation.

    The standard deviation for a Kumaraswamy's double bounded random variable with first shape parameter a and second shape parameter b is

    Standard deviation for a Kumaraswamy's double bounded distribution.

    where the raw moments of the distribution are given by

    Raw moments for a Kumaraswamy's double bounded distribution.

    with B denoting the beta function.

    Installation

    npm install @stdlib/stats-base-dists-kumaraswamy-stdev

    Usage

    var stdev = require( '@stdlib/stats-base-dists-kumaraswamy-stdev' );

    stdev( a, b )

    Returns the standard deviation of a Kumaraswamy's double bounded distribution with first shape parameter a and second shape parameter b.

    var v = stdev( 1.0, 1.0 );
    // returns ~0.289
    
    v = stdev( 4.0, 12.0 );
    // returns ~0.13
    
    v = stdev( 2.0, 8.0 );
    // returns ~0.146

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

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

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

    var y = stdev( -1.0, 0.5 );
    // returns NaN
    
    y = stdev( 0.0, 0.5 );
    // returns NaN

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

    var y = stdev( 0.5, -1.0 );
    // returns NaN
    
    y = stdev( 0.5, 0.0 );
    // returns NaN

    Examples

    var randu = require( '@stdlib/random-base-randu' );
    var stdev = require( '@stdlib/stats-base-dists-kumaraswamy-stdev' );
    
    var a;
    var b;
    var v;
    var i;
    
    for ( i = 0; i < 10; i++ ) {
        a = randu() * 10.0;
        b = randu() * 10.0;
        v = stdev( a, b );
        console.log( 'a: %d, b: %d, SD(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 © 2016-2022. The Stdlib Authors.

    Install

    npm i @stdlib/stats-base-dists-kumaraswamy-stdev

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    88

    Version

    0.0.7

    License

    Apache-2.0

    Unpacked Size

    37.9 kB

    Total Files

    11

    Last publish

    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser