An open API service indexing awesome lists of open source software.

https://github.com/stdlib-js/stats-base-dists-weibull

Weibull distribution.
https://github.com/stdlib-js/stats-base-dists-weibull

dist distribution javascript lib library node node-js nodejs probability standard statistics stats stdlib univariate weibull

Last synced: 10 months ago
JSON representation

Weibull distribution.

Awesome Lists containing this project

README

          


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!

# Weibull

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

> Weibull distribution.

## Installation

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

Alternatively,

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

The [branches.md][branches-url] 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

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

#### weibull

Weibull distribution.

```javascript
var dist = weibull;
// returns {...}
```

The namespace contains the following distribution functions:

- [`cdf( x, k, lambda )`][@stdlib/stats/base/dists/weibull/cdf]: Weibull distribution cumulative distribution function.
- [`logcdf( x, k, lambda )`][@stdlib/stats/base/dists/weibull/logcdf]: Weibull distribution logarithm of cumulative distribution function.
- [`logpdf( x, k, lambda )`][@stdlib/stats/base/dists/weibull/logpdf]: Weibull distribution logarithm of probability density function (PDF).
- [`mgf( t, k, lambda )`][@stdlib/stats/base/dists/weibull/mgf]: Weibull distribution moment-generating function (MGF).
- [`pdf( x, k, lambda )`][@stdlib/stats/base/dists/weibull/pdf]: Weibull distribution probability density function (PDF).
- [`quantile( p, k, lambda )`][@stdlib/stats/base/dists/weibull/quantile]: Weibull distribution quantile function.

The namespace contains the following functions for calculating distribution properties:

- [`entropy( k, lambda )`][@stdlib/stats/base/dists/weibull/entropy]: Weibull distribution differential entropy.
- [`kurtosis( k, lambda )`][@stdlib/stats/base/dists/weibull/kurtosis]: Weibull distribution excess kurtosis.
- [`mean( k, lambda )`][@stdlib/stats/base/dists/weibull/mean]: Weibull distribution expected value.
- [`median( k, lambda )`][@stdlib/stats/base/dists/weibull/median]: Weibull distribution median.
- [`mode( k, lambda )`][@stdlib/stats/base/dists/weibull/mode]: Weibull distribution mode.
- [`skewness( k, lambda )`][@stdlib/stats/base/dists/weibull/skewness]: Weibull distribution skewness.
- [`stdev( k, lambda )`][@stdlib/stats/base/dists/weibull/stdev]: Weibull distribution standard deviation.
- [`variance( k, lambda )`][@stdlib/stats/base/dists/weibull/variance]: Weibull distribution variance.

The namespace contains a constructor function for creating a [Weibull][weibull-distribution] distribution object.

- [`Weibull( [k, lambda] )`][@stdlib/stats/base/dists/weibull/ctor]: Weibull distribution constructor.

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

var dist = new Weibull( 2.0, 4.0 );

var y = dist.pdf( 0.8 );
// returns ~0.096
```

## Examples

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

console.log( objectKeys( weibull ) );
```

* * *

## 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

Copyright © 2016-2025. The Stdlib [Authors][stdlib-authors].

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

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

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

[chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg
[chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im

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

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

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

[@stdlib/stats/base/dists/weibull/ctor]: https://github.com/stdlib-js/stats-base-dists-weibull-ctor

[@stdlib/stats/base/dists/weibull/entropy]: https://github.com/stdlib-js/stats-base-dists-weibull-entropy

[@stdlib/stats/base/dists/weibull/kurtosis]: https://github.com/stdlib-js/stats-base-dists-weibull-kurtosis

[@stdlib/stats/base/dists/weibull/mean]: https://github.com/stdlib-js/stats-base-dists-weibull-mean

[@stdlib/stats/base/dists/weibull/median]: https://github.com/stdlib-js/stats-base-dists-weibull-median

[@stdlib/stats/base/dists/weibull/mode]: https://github.com/stdlib-js/stats-base-dists-weibull-mode

[@stdlib/stats/base/dists/weibull/skewness]: https://github.com/stdlib-js/stats-base-dists-weibull-skewness

[@stdlib/stats/base/dists/weibull/stdev]: https://github.com/stdlib-js/stats-base-dists-weibull-stdev

[@stdlib/stats/base/dists/weibull/variance]: https://github.com/stdlib-js/stats-base-dists-weibull-variance

[@stdlib/stats/base/dists/weibull/cdf]: https://github.com/stdlib-js/stats-base-dists-weibull-cdf

[@stdlib/stats/base/dists/weibull/logcdf]: https://github.com/stdlib-js/stats-base-dists-weibull-logcdf

[@stdlib/stats/base/dists/weibull/logpdf]: https://github.com/stdlib-js/stats-base-dists-weibull-logpdf

[@stdlib/stats/base/dists/weibull/mgf]: https://github.com/stdlib-js/stats-base-dists-weibull-mgf

[@stdlib/stats/base/dists/weibull/pdf]: https://github.com/stdlib-js/stats-base-dists-weibull-pdf

[@stdlib/stats/base/dists/weibull/quantile]: https://github.com/stdlib-js/stats-base-dists-weibull-quantile