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boxcox1pinv
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
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-base-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.
See Also
-
@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.
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.
Community
License
See LICENSE.
Copyright
Copyright © 2016-2024. The Stdlib Authors.