@stdlib/math-base-special-boxcox1pinv
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    boxcox1pinv

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    Compute the inverse of a one-parameter Box-Cox transformation for 1+x.

    To compute the inverse of a one-parameter Box-Cox transformation, one finds the x such that

    Inverse One-Parameter Box-Cox Transformation

    Installation

    npm install @stdlib/math-base-special-boxcox1pinv

    Usage

    var boxcox1pinv = require( '@stdlib/math-base-special-boxcox1pinv' );

    boxcox1pinv( y, lambda )

    Computes the inverse of a one-parameter Box-Cox transformation for 1+x.

    var v = boxcox1pinv( 1.0, 2.5 );
    // returns ~0.6505
    
    v = boxcox1pinv( 4.0, 2.5 );
    // returns ~1.6095
    
    v = boxcox1pinv( 10.0, 2.5 );
    // returns ~2.6812
    
    v = boxcox1pinv( 2.0, 0.0 );
    // returns ~6.3891
    
    v = boxcox1pinv( -1.0, 2.5 );
    // returns NaN
    
    v = boxcox1pinv( 0.0, -1.0 );
    // returns 0.0
    
    v = boxcox1pinv( 1.0, NaN );
    // returns NaN
    
    v = boxcox1pinv( NaN, 3.1 );
    // returns NaN

    Examples

    var incrspace = require( '@stdlib/array-incrspace' );
    var boxcox1pinv = require( '@stdlib/math-base-special-boxcox1pinv' );
    
    var y = incrspace( -1.0, 10.0, 1.0 );
    var l = incrspace( -0.5, 5.0, 0.5 );
    var b;
    var i;
    var j;
    
    for ( i = 0; i < y.length; i++ ) {
        for ( j = 0; j < l.length; j++ ) {
            b = boxcox1pinv( y[ i ], l[ j ] );
            console.log( 'boxcox1pinv(%d, %d) = %d', y[ i ], l[ j ], b );
        }
    }

    References

    • Box, G. E. P., and D. R. Cox. 1964. "An Analysis of Transformations." Journal of the Royal Statistical Society. Series B (Methodological) 26 (2). [Royal Statistical Society, Wiley]: 211–52. http://www.jstor.org/stable/2984418.

    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-boxcox1pinv

    Homepage

    stdlib.io

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    2

    Version

    0.0.5

    License

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    50.8 kB

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    10

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