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Compute the inverse of a one-parameter Box-Cox transformation.
To compute the inverse of a one-parameter Box-Cox transformation, one finds the x such that
To use in Observable,
boxcoxinv = require( 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-boxcoxinv@umd/browser.js' )To vendor stdlib functionality and avoid installing dependency trees for Node.js, you can use the UMD server build:
var boxcoxinv = require( 'path/to/vendor/umd/math-base-special-boxcoxinv/index.js' )To include the bundle in a webpage,
<script type="text/javascript" src="https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-boxcoxinv@umd/browser.js"></script>If no recognized module system is present, access bundle contents via the global scope:
<script type="text/javascript">
(function () {
window.boxcoxinv;
})();
</script>Computes the inverse of a one-parameter Box-Cox transformation.
var v = boxcoxinv( 1.0, 2.5 );
// returns ~1.6505
v = boxcoxinv( 4.0, 2.5 );
// returns ~2.6095
v = boxcoxinv( 10.0, 2.5 );
// returns ~3.6812
v = boxcoxinv( 2.0, 0.0 );
// returns ~7.3891
v = boxcoxinv( -1.0, 2.5 );
// returns NaN
v = boxcoxinv( 0.0, -1.0 );
// returns 1.0
v = boxcoxinv( 1.0, NaN );
// returns NaN
v = boxcoxinv( NaN, 3.1 );
// returns NaN<!DOCTYPE html>
<html lang="en">
<body>
<script type="text/javascript" src="https://cdn.jsdelivr.net/gh/stdlib-js/array-base-incrspace@umd/browser.js"></script>
<script type="text/javascript" src="https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-boxcoxinv@umd/browser.js"></script>
<script type="text/javascript">
(function () {
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 = boxcoxinv( y[ i ], l[ j ] );
console.log( 'boxcoxinv(%d, %d) = %d', y[ i ], l[ j ], b );
}
}
})();
</script>
</body>
</html>- 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.
@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/boxcox1pinv: compute the inverse of a one-parameter Box-Cox transformation for 1+x.
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