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boxcox1p

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

A one-parameter Box-Cox transformation is defined as

Installation

npm install @stdlib/math-base-special-boxcox1p

Alternatively,

• To load the package in a website via a script tag without installation and bundlers, use the ES Module available on the esm branch (see README).
• If you are using Deno, visit the deno branch (see README for usage intructions).
• For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the umd branch (see README).

The branches.md file summarizes the available branches and displays a diagram illustrating their relationships.

To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.

Usage

var boxcox1p = require( '@stdlib/math-base-special-boxcox1p' );

boxcox1p( x, lambda )

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

var v = boxcox1p( 1.0, 2.5 );
// returns ~1.8627

v = boxcox1p( 4.0, 2.5 );
// returns ~21.9607

v = boxcox1p( 10.0, 2.5 );
// returns ~160.1246

v = boxcox1p( 2.0, 0.0 );
// returns ~1.0986

v = boxcox1p( -1.0, 2.5 );
// returns -0.4

v = boxcox1p( 0.0, -1.0 );
// returns 0.0

v = boxcox1p( -1.0, -1.0 );
// returns -Infinity

Examples

var incrspace = require( '@stdlib/array-base-incrspace' );
var boxcox1p = require( '@stdlib/math-base-special-boxcox1p' );

var x = 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 < x.length; i++ ) {
    for ( j = 0; j < l.length; j++ ) {
        b = boxcox1p( x[ i ], l[ j ] );
        console.log( 'boxcox1p(%d, %d) = %d', x[ i ], l[ j ], b );
    }
}

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C APIs

Usage

#include "stdlib/math/base/special/boxcox1p.h"

stdlib_base_boxcox1p( x, lambda )

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

double out = stdlib_base_boxcox1p( 1.0, 2.5 );
// returns ~1.8627

out = stdlib_base_boxcox1p( 4.0, 2.5 );
// returns ~21.9607

The function accepts the following arguments:

• x: [in] double input value.
• lambda: [in] double power parameter.

double stdlib_base_boxcox1p( const double x, const double lambda );

Examples

#include "stdlib/math/base/special/boxcox1p.h"
#include <stdio.h>

int main( void ) {
    const double x[] = { -1.0, 10.0, 1.0 };
    const double l[] = { -0.5, 5.0, 0.5 };

    double b;
    int i;
    int j;
    for ( i = 0; i < 3; i++ ) {
        for ( j = 0; j < 3; j++ ){
            b = stdlib_base_boxcox1p( x[ i ], l[ j ] );
            printf ( "boxcox1p(%lf, %lf) = %lf\n", x[ 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.

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See Also

• @stdlib/math-base/special/boxcox: compute a one-parameter Box-Cox transformation.
• @stdlib/math-base/special/boxcox1pinv: compute the inverse of a one-parameter Box-Cox transformation for 1+x.
• @stdlib/math-base/special/boxcoxinv: compute the inverse of a one-parameter Box-Cox transformation.

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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

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License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.