# @stdlib/stats-base-dists-weibull-entropy

0.2.2 • Public • Published

We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.

The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.

When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.

To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!

# Entropy

Weibull distribution differential entropy.

The differential entropy (in nats) for a Weibull random variable is

where `λ > 0` is the shape parameter, `k > 0` is the scale parameter, and `Ɣ` denotes the Euler–Mascheroni constant.

## Installation

`npm install @stdlib/stats-base-dists-weibull-entropy`

## Usage

`var entropy = require( '@stdlib/stats-base-dists-weibull-entropy' );`

#### entropy( k, lambda )

Returns the differential entropy of a Weibull distribution with shape parameter `k` and scale parameter `lambda` (in nats).

```var v = entropy( 1.0, 1.0 );
// returns 1.0

v = entropy( 4.0, 12.0 );
// returns ~2.532

v = entropy( 8.0, 2.0 );
// returns ~0.119```

If provided `NaN` as any argument, the function returns `NaN`.

```var v = entropy( NaN, 2.0 );
// returns NaN

v = entropy( 2.0, NaN );
// returns NaN```

If provided `k <= 0`, the function returns `NaN`.

```var v = entropy( 0.0, 1.0 );
// returns NaN

v = entropy( -1.0, 1.0 );
// returns NaN```

If provided `lambda <= 0`, the function returns `NaN`.

```var v = entropy( 1.0, 0.0 );
// returns NaN

v = entropy( 1.0, -1.0 );
// returns NaN```

## Examples

```var randu = require( '@stdlib/random-base-randu' );
var EPS = require( '@stdlib/constants-float64-eps' );
var entropy = require( '@stdlib/stats-base-dists-weibull-entropy' );

var lambda;
var k;
var v;
var i;

for ( i = 0; i < 10; i++ ) {
k = ( randu()*10.0 ) + EPS;
lambda = ( randu()*10.0 ) + EPS;
v = entropy( k, lambda );
console.log( 'k: %d, λ: %d, h(X;k,λ): %d', k.toFixed( 4 ), lambda.toFixed( 4 ), v.toFixed( 4 ) );
}```

## 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.

## Package Sidebar

### Install

`npm i @stdlib/stats-base-dists-weibull-entropy`

stdlib.io

396

0.2.2

Apache-2.0

37 kB

12