About stdlib...

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

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]

> [Weibull][weibull-distribution] distribution [differential entropy][entropy].

The [differential entropy][entropy] (in [nats][nats]) for a [Weibull][weibull-distribution] random variable is

Differential entropy for a Weibull distribution.

where λ > 0 is the [shape parameter][shape], k > 0 is the [scale parameter][scale], and Ɣ denotes the [Euler–Mascheroni constant][euler-mascheroni].

Installation

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

`Usage`

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

#### entropy( k, lambda )

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

`javascript 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.

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

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

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

`javascript 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.

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

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

`Examples`

`javascript var uniform = require( '@stdlib/random-array-uniform' ); var logEachMap = require( '@stdlib/console-log-each-map' ); var EPS = require( '@stdlib/constants-float64-eps' ); var entropy = require( '@stdlib/stats-base-dists-weibull-entropy' );

var opts = { 'dtype': 'float64' }; var lambda = uniform( 10, EPS, 10.0, opts ); var k = uniform( 10, EPS, 10.0, opts );

logEachMap( 'k: %0.4f, λ: %0.4f, h(X;k,λ): %0.4f', k, lambda, entropy );`

*

`C APIs`

`$3`

`c #include "stdlib/stats/base/dists/weibull/entropy.h"`

#### stdlib_base_dists_weibull_entropy( k, lambda )

Returns the differential entropy of a Weibull distribution.

`c double out = stdlib_base_dists_weibull_entropy( 4.0, 12.0 ); // returns ~2.532`

The function accepts the following arguments:

- k: [in] doubleshape parameter. - lambda:[in] double scale parameter.

`c double stdlib_base_dists_weibull_entropy( const double k, const double lambda );`

`$3`

`c #include "stdlib/stats/base/dists/weibull/entropy.h" #include #include

static double random_uniform( const double min, const double max ) { double v = (double)rand() / ( (double)RAND_MAX + 1.0 ); return min + ( v*(max-min) ); }

int main( void ) { double lambda; double k; double y; int i;

for ( i = 0; i < 25; i++ ) { k = random_uniform( 0.0, 10.0 ); lambda = random_uniform( 0.0, 10.0 ); y = stdlib_base_dists_weibull_entropy( k, lambda ); printf( "k: %lf, λ: %lf, h(X;k,λ): %lf\n", k, lambda, y ); } }`

*

`Notice`

This package is part of [stdlib][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][stdlib], see the main project [repository][stdlib].

#### Community

[![Chat][chat-image]][chat-url]

---

`License`

See [LICENSE][stdlib-license].

`Copyright`

[npm-image]: http://img.shields.io/npm/v/@stdlib/stats-base-dists-weibull-entropy.svg [npm-url]: https://npmjs.org/package/@stdlib/stats-base-dists-weibull-entropy

[test-image]: https://github.com/stdlib-js/stats-base-dists-weibull-entropy/actions/workflows/test.yml/badge.svg?branch=v0.3.1 [test-url]: https://github.com/stdlib-js/stats-base-dists-weibull-entropy/actions/workflows/test.yml?query=branch:v0.3.1

[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-base-dists-weibull-entropy/main.svg [coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-weibull-entropy?branch=main

[chat-image]: https://img.shields.io/badge/zulip-join_chat-brightgreen.svg [chat-url]: https://stdlib.zulipchat.com

[stdlib]: https://github.com/stdlib-js/stdlib

[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors

[umd]: https://github.com/umdjs/umd [es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules

[deno-url]: https://github.com/stdlib-js/stats-base-dists-weibull-entropy/tree/deno [deno-readme]: https://github.com/stdlib-js/stats-base-dists-weibull-entropy/blob/deno/README.md [umd-url]: https://github.com/stdlib-js/stats-base-dists-weibull-entropy/tree/umd [umd-readme]: https://github.com/stdlib-js/stats-base-dists-weibull-entropy/blob/umd/README.md [esm-url]: https://github.com/stdlib-js/stats-base-dists-weibull-entropy/tree/esm [esm-readme]: https://github.com/stdlib-js/stats-base-dists-weibull-entropy/blob/esm/README.md [branches-url]: https://github.com/stdlib-js/stats-base-dists-weibull-entropy/blob/main/branches.md

[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-weibull-entropy/main/LICENSE

[weibull-distribution]: https://en.wikipedia.org/wiki/Weibull_distribution

[entropy]: https://en.wikipedia.org/wiki/Entropy_%28information_theory%29

[euler-mascheroni]: https://en.wikipedia.org/wiki/Euler%E2%80%93Mascheroni_constant

[nats]: https://en.wikipedia.org/wiki/Nat_%28unit%29

[shape]: https://en.wikipedia.org/wiki/Shape_parameter

[scale]: https://en.wikipedia.org/wiki/Scale_parameter


  
    About stdlib...
  

  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`

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]

> [Weibull][weibull-distribution] distribution [differential entropy][entropy].

The [differential entropy][entropy] (in [nats][nats]) for a [Weibull][weibull-distribution] random variable is

where λ > 0 is the [shape parameter][shape], k > 0 is the [scale parameter][scale], and Ɣ denotes the [Euler–Mascheroni constant][euler-mascheroni].

`Installation`

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

`Usage`

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

#### entropy( k, lambda )

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

`javascript 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.

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

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

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

`javascript 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.

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

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

`Examples`

`javascript var uniform = require( '@stdlib/random-array-uniform' ); var logEachMap = require( '@stdlib/console-log-each-map' ); var EPS = require( '@stdlib/constants-float64-eps' ); var entropy = require( '@stdlib/stats-base-dists-weibull-entropy' );

var opts = { 'dtype': 'float64' }; var lambda = uniform( 10, EPS, 10.0, opts ); var k = uniform( 10, EPS, 10.0, opts );

logEachMap( 'k: %0.4f, λ: %0.4f, h(X;k,λ): %0.4f', k, lambda, entropy ); `

*

`C APIs`

`$3`

`c #include "stdlib/stats/base/dists/weibull/entropy.h" `

#### stdlib_base_dists_weibull_entropy( k, lambda )

Returns the differential entropy of a Weibull distribution.

`c double out = stdlib_base_dists_weibull_entropy( 4.0, 12.0 ); // returns ~2.532 `

The function accepts the following arguments:

- k: [in] double shape parameter. - lambda: [in] double scale parameter.

`c double stdlib_base_dists_weibull_entropy( const double k, const double lambda ); `

`$3`

`c #include "stdlib/stats/base/dists/weibull/entropy.h" #include #include

static double random_uniform( const double min, const double max ) { double v = (double)rand() / ( (double)RAND_MAX + 1.0 ); return min + ( v*(max-min) ); }

int main( void ) { double lambda; double k; double y; int i;

for ( i = 0; i < 25; i++ ) { k = random_uniform( 0.0, 10.0 ); lambda = random_uniform( 0.0, 10.0 ); y = stdlib_base_dists_weibull_entropy( k, lambda ); printf( "k: %lf, λ: %lf, h(X;k,λ): %lf\n", k, lambda, y ); } } `

*

`Notice`

For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].

#### Community

[![Chat][chat-image]][chat-url]

---

`License`

See [LICENSE][stdlib-license].

`Copyright`

[npm-image]: http://img.shields.io/npm/v/@stdlib/stats-base-dists-weibull-entropy.svg [npm-url]: https://npmjs.org/package/@stdlib/stats-base-dists-weibull-entropy

[chat-image]: https://img.shields.io/badge/zulip-join_chat-brightgreen.svg [chat-url]: https://stdlib.zulipchat.com

[stdlib]: https://github.com/stdlib-js/stdlib

[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors

[umd]: https://github.com/umdjs/umd [es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules

[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-weibull-entropy/main/LICENSE

[weibull-distribution]: https://en.wikipedia.org/wiki/Weibull_distribution

[entropy]: https://en.wikipedia.org/wiki/Entropy_%28information_theory%29

[euler-mascheroni]: https://en.wikipedia.org/wiki/Euler%E2%80%93Mascheroni_constant

[nats]: https://en.wikipedia.org/wiki/Nat_%28unit%29

[shape]: https://en.wikipedia.org/wiki/Shape_parameter

[scale]: https://en.wikipedia.org/wiki/Scale_parameter