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    @stdlib/stats-base-dists-lognormal-median
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    0.0.6 • Public • Published

    Median

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    Lognormal distribution median.

    The median for a lognormal random variable with location parameter μ and scale parameter σ > 0 is

    Median for a lognormal distribution.

    According to the definition, the natural logarithm of a random variable from a lognormal distribution follows a normal distribution.

    Installation

    npm install @stdlib/stats-base-dists-lognormal-median

    Usage

    var median = require( '@stdlib/stats-base-dists-lognormal-median' );

    median( mu, sigma )

    Returns the median for a lognormal distribution with location mu and scale sigma.

    var y = median( 2.0, 1.0 );
    // returns ~7.389
    
    y = median( 0.0, 1.0 );
    // returns 1.0
    
    y = median( -1.0, 4.0 );
    // returns ~0.368

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

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

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

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

    Examples

    var randu = require( '@stdlib/random-base-randu' );
    var median = require( '@stdlib/stats-base-dists-lognormal-median' );
    
    var sigma;
    var mu;
    var y;
    var i;
    
    for ( i = 0; i < 10; i++ ) {
        mu = ( randu()*10.0 ) - 5.0;
        sigma = randu() * 20.0;
        y = median( mu, sigma );
        console.log( 'µ: %d, σ: %d, Median(X;µ,σ): %d', mu.toFixed( 4 ), sigma.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-lognormal-median

    Homepage

    stdlib.io

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    89

    Version

    0.0.6

    License

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    Unpacked Size

    47.6 kB

    Total Files

    10

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    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser