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# npm

## @stdlib/math-base-special-boxcox1p

0.0.5 • Public • Published

# 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`

## 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-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 );
}
}```

## 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.

## 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.

## Keywords

### Install

`npm i @stdlib/math-base-special-boxcox1p`

stdlib.io

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