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

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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

Usage

import boxcox1pinv from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-boxcox1pinv@deno/mod.js';

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

import incrspace from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-base-incrspace@deno/mod.js';
import boxcox1pinv from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-boxcox1pinv@deno/mod.js';

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. https://www.jstor.org/stable/2984418.

See Also


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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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