Naturally Processed Meals

    @stdlib/stats-base-dists-weibull-cdf
    TypeScript icon, indicating that this package has built-in type declarations

    0.0.6 • Public • Published

    Cumulative Distribution Function

    NPM version Build Status Coverage Status

    Weibull distribution cumulative distribution function.

    The cumulative distribution function for a Weibull random variable is

    Cumulative distribution function for a Weibull distribution.

    where lambda > 0 is the shape parameter and k > 0 is the scale parameter.

    Installation

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

    Usage

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

    cdf( x, k, lambda )

    Evaluates the cumulative distribution function (CDF) for a Weibull distribution with shape parameter k and scale parameter lambda.

    var y = cdf( 2.0, 1.0, 0.5 );
    // returns ~0.982
    
    y = cdf( 0.0, 1.0, 0.5 );
    // returns 0.0
    
    y = cdf( -Infinity, 4.0, 2.0 );
    // returns 0.0
    
    y = cdf( +Infinity, 4.0, 2.0 );
    // returns 1.0

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

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

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

    var y = cdf( 2.0, 0.5, -1.0 );
    // returns NaN
    
    y = cdf( 2.0, 0.5, 0.0 );
    // returns NaN

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

    var y = cdf( 2.0, 0.5, -1.0 );
    // returns NaN
    
    y = cdf( 2.0, 0.5, 0.0 );
    // returns NaN

    cdf.factory( k, lambda )

    Returns a function for evaluating the cumulative distribution function of a Weibull distribution with shape parameter k and scale parameter lambda.

    var mycdf = cdf.factory( 2.0, 10.0 );
    
    var y = mycdf( 10.0 );
    // returns ~0.632
    
    y = mycdf( 8.0 );
    // returns ~0.473

    Examples

    var randu = require( '@stdlib/random-base-randu' );
    var cdf = require( '@stdlib/stats-base-dists-weibull-cdf' );
    
    var lambda;
    var k;
    var x;
    var y;
    var i;
    
    for ( i = 0; i < 10; i++ ) {
        x = randu() * 10.0;
        lambda = randu() * 10.0;
        k = randu() * 10.0;
        y = cdf( x, lambda, k );
        console.log( 'x: %d, k: %d, λ: %d, F(x;k,λ): %d', x, k, lambda, y );
    }

    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.

    Community

    Chat


    License

    See LICENSE.

    Copyright

    Copyright © 2016-2022. The Stdlib Authors.

    Install

    npm i @stdlib/stats-base-dists-weibull-cdf

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    620

    Version

    0.0.6

    License

    Apache-2.0

    Unpacked Size

    56.8 kB

    Total Files

    11

    Last publish

    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser