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    @stdlib/stats-base-dists-invgamma-mode
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    0.0.8 • Public • Published

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    Inverse gamma distribution mode.

    The mode for an inverse gamma random variable is

    Mode for an inverse gamma distribution.

    where α > 0 is the shape parameter and β > 0 is the rate parameter.

    Installation

    npm install @stdlib/stats-base-dists-invgamma-mode

    Usage

    var mode = require( '@stdlib/stats-base-dists-invgamma-mode' );

    mode( alpha, beta )

    Returns the mode of an inverse gamma distribution with parameters alpha (shape parameter) and beta (rate parameter).

    var v = mode( 1.0, 1.0 );
    // returns 0.5
    
    v = mode( 4.0, 12.0 );
    // returns 2.4
    
    v = mode( 8.0, 2.0 );
    // returns ~0.222

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

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

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

    var v = mode( 0.0, 1.0 );
    // returns NaN
    
    v = mode( -1.0, 1.0 );
    // returns NaN

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

    var v = mode( 1.0, 0.0 );
    // returns NaN
    
    v = mode( 1.0, -1.0 );
    // returns NaN

    Examples

    var randu = require( '@stdlib/random-base-randu' );
    var EPS = require( '@stdlib/constants-float64-eps' );
    var mode = require( '@stdlib/stats-base-dists-invgamma-mode' );
    
    var alpha;
    var beta;
    var v;
    var i;
    
    for ( i = 0; i < 10; i++ ) {
        alpha = ( randu()*10.0 ) + EPS;
        beta = ( randu()*10.0 ) + EPS;
        v = mode( alpha, beta );
        console.log( 'α: %d, β: %d, mode(X;α,β): %d', alpha.toFixed( 4 ), beta.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-invgamma-mode

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    126

    Version

    0.0.8

    License

    Apache-2.0

    Unpacked Size

    32.5 kB

    Total Files

    10

    Last publish

    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser