@stdlib/math-base-special-kernel-betaincinv
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    0.0.5 • Public • Published

    Kernel Betaincinv

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    Inverse of the lower incomplete beta function.

    Installation

    npm install @stdlib/math-base-special-kernel-betaincinv

    Usage

    var kernelBetaincinv = require( '@stdlib/math-base-special-kernel-betaincinv' );

    kernelBetaincinv( a, b, p, q )

    Inverts the lower regularized incomplete beta function at a > 0 and b > 0. Input probabilities p and q must satisfy p = 1 - q. The function returns a two-element array holding the function value y and 1-y.

    var y = kernelBetaincinv( 3.0, 3.0, 0.2, 0.8 );
    // returns [ ~0.327, ~0.673 ]
    
    y = kernelBetaincinv( 3.0, 3.0, 0.4, 0.6 );
    // returns [ ~0.446, ~0.554 ]
    
    y = kernelBetaincinv( 1.0, 6.0, 0.4, 0.6 );
    // returns [ ~0.082, ~0.918 ]
    
    y = kernelBetaincinv( 1.0, 6.0, 0.8, 0.2 );
    // returns [ ~0.235, ~0.765 ]

    Examples

    var randu = require( '@stdlib/random-base-randu' );
    var kernelBetaincinv = require( '@stdlib/math-base-special-kernel-betaincinv' );
    
    var i;
    var p;
    var a;
    var b;
    
    for ( i = 0; i < 100; i++ ) {
        p = randu();
        a = randu() * 10.0;
        b = randu() * 10.0;
        console.log( 'p: %d, \t a: %d, \t b: %d, \t f(p,a,b): %d', p.toFixed( 4 ), a.toFixed( 4 ), b.toFixed( 4 ), kernelBetaincinv( a, b, p, 1.0-p )[ 0 ] );
    }

    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/math-base-special-kernel-betaincinv

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    457

    Version

    0.0.5

    License

    Apache-2.0 AND BSL-1.0

    Unpacked Size

    138 kB

    Total Files

    47

    Last publish

    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser