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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
import boxcox1pinv from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-boxcox1pinv@deno/mod.js';
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
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 );
}
}
- 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.
@stdlib/math-base/special/boxcox
: compute a one-parameter Box-Cox transformation.@stdlib/math-base/special/boxcox1p
: compute a one-parameter Box-Cox transformation of 1+x.@stdlib/math-base/special/boxcoxinv
: compute the inverse of a one-parameter Box-Cox transformation.
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