@stdlib/stats-base-dists-arcsine-mean
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    0.0.7 • Public • Published

    Mean

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    Arcsine distribution expected value.

    The expected value for an arcsine random variable is

    Expected value for an arcsine distribution.

    where a is the minimum support and b is the maximum support.

    Installation

    npm install @stdlib/stats-base-dists-arcsine-mean

    Usage

    var mean = require( '@stdlib/stats-base-dists-arcsine-mean' );

    mean( a, b )

    Returns the expected value of an arcsine distribution with parameters a (minimum support) and b (maximum support).

    var v = mean( 0.0, 1.0 );
    // returns 0.5
    
    v = mean( 4.0, 12.0 );
    // returns 8.0
    
    v = mean( 2.0, 8.0 );
    // returns 5.0

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

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

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

    var y = mean( 3.0, 2.0 );
    // returns NaN
    
    y = mean( 3.0, 3.0 );
    // returns NaN

    Examples

    var randu = require( '@stdlib/random-base-randu' );
    var mean = require( '@stdlib/stats-base-dists-arcsine-mean' );
    
    var a;
    var b;
    var v;
    var i;
    
    for ( i = 0; i < 10; i++ ) {
        a = ( randu()*10.0 );
        b = ( randu()*10.0 ) + a;
        v = mean( a, b );
        console.log( 'a: %d, b: %d, E(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-arcsine-mean

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    82

    Version

    0.0.7

    License

    Apache-2.0

    Unpacked Size

    45.4 kB

    Total Files

    10

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    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser