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    @stdlib/stats-base-dists-uniform-cdf
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    0.0.7 • Public • Published

    Cumulative Distribution Function

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    Uniform distribution cumulative distribution function.

    The cumulative distribution function for a continuous uniform random variable is

    Cumulative distribution function for a uniform distribution.

    where a is the minimum support and b is the maximum support. The parameters must satisfy a < b.

    Installation

    npm install @stdlib/stats-base-dists-uniform-cdf

    Usage

    var cdf = require( '@stdlib/stats-base-dists-uniform-cdf' );

    cdf( x, a, b )

    Evaluates the cumulative distribution function (CDF) for a uniform distribution with parameters a (minimum support) and b (maximum support).

    var y = cdf( 9.0, 0.0, 10.0 );
    // returns 0.9
    
    y = cdf( 0.5, 0.0, 2.0 );
    // returns 0.25
    
    y = cdf( -Infinity, 2.0, 4.0 );
    // returns 0.0
    
    y = cdf( +Infinity, 2.0, 4.0 );
    // returns 1.0

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

    var y = cdf( NaN, 0.0, 1.0 );
    // returns NaN
    
    y = cdf( 0.0, NaN, 1.0 );
    // returns NaN
    
    y = cdf( 0.0, 0.0, NaN );
    // returns NaN

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

    var y = cdf( 1.0, 2.5, 2.0 );
    // returns NaN

    cdf.factory( a, b )

    Returns a function for evaluating the cumulative distribution function of a uniform distribution with parameters a (minimum support) and b (maximum support).

    var mycdf = cdf.factory( 0.0, 10.0 );
    var y = mycdf( 0.5 );
    // returns 0.05
    
    y = mycdf( 8.0 );
    // returns 0.8

    Examples

    var randu = require( '@stdlib/random-base-randu' );
    var cdf = require( '@stdlib/stats-base-dists-uniform-cdf' );
    
    var a;
    var b;
    var x;
    var y;
    var i;
    
    for ( i = 0; i < 25; i++ ) {
        x = (randu() * 20.0) - 10.0;
        a = (randu() * 20.0) - 20.0;
        b = a + (randu() * 40.0);
        y = cdf( x, a, b );
        console.log( 'x: %d, a: %d, b: %d, F(x;a,b): %d', x.toFixed( 4 ), a.toFixed( 4 ), b.toFixed( 4 ), y.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-uniform-cdf

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    134

    Version

    0.0.7

    License

    Apache-2.0

    Unpacked Size

    58 kB

    Total Files

    11

    Last publish

    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser