npm package: @stdlib/stats-base-dists-frechet
Description: Fréchet distribution.
Author: The Stdlib Authors
Latest version: 0.3.1

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</details>

# Fréchet

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

> Fréchet distribution.

<section class="installation">

## Installation

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

</section>

<section class="usage">

## Usage

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

#### frechet

Fréchet distribution.

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

The namespace contains the following distribution functions:

<!-- <toc pattern="*+(cdf|pdf|mgf|quantile)*"> -->

<div class="namespace-toc">

-   <span class="signature">[`cdf( x, alpha, s, m )`][@stdlib/stats/base/dists/frechet/cdf]</span><span class="delimiter">: </span><span class="description">Fréchet distribution cumulative distribution function.</span>
-   <span class="signature">[`logcdf( x, alpha, s, m )`][@stdlib/stats/base/dists/frechet/logcdf]</span><span class="delimiter">: </span><span class="description">Fréchet distribution logarithm of cumulative distribution function.</span>
-   <span class="signature">[`logpdf( x, alpha, s, m )`][@stdlib/stats/base/dists/frechet/logpdf]</span><span class="delimiter">: </span><span class="description">Fréchet distribution logarithm of probability density function.</span>
-   <span class="signature">[`pdf( x, alpha, s, m )`][@stdlib/stats/base/dists/frechet/pdf]</span><span class="delimiter">: </span><span class="description">Fréchet distribution probability density function.</span>
-   <span class="signature">[`quantile( p, alpha, s, m )`][@stdlib/stats/base/dists/frechet/quantile]</span><span class="delimiter">: </span><span class="description">Fréchet distribution quantile function.</span>

</div>

<!-- </toc> -->

The namespace contains the following functions for calculating distribution properties:

<!-- <toc pattern="*+(entropy|kurtosis|mean|median|mode|skewness|stdev|variance)*"> -->

<div class="namespace-toc">

-   <span class="signature">[`entropy( alpha, s, m )`][@stdlib/stats/base/dists/frechet/entropy]</span><span class="delimiter">: </span><span class="description">Fréchet distribution differential entropy.</span>
-   <span class="signature">[`kurtosis( alpha, s, m )`][@stdlib/stats/base/dists/frechet/kurtosis]</span><span class="delimiter">: </span><span class="description">Fréchet distribution kurtosis.</span>
-   <span class="signature">[`mean( alpha, s, m )`][@stdlib/stats/base/dists/frechet/mean]</span><span class="delimiter">: </span><span class="description">Fréchet distribution expected value.</span>
-   <span class="signature">[`median( alpha, s, m )`][@stdlib/stats/base/dists/frechet/median]</span><span class="delimiter">: </span><span class="description">Fréchet distribution median.</span>
-   <span class="signature">[`mode( alpha, s, m )`][@stdlib/stats/base/dists/frechet/mode]</span><span class="delimiter">: </span><span class="description">Fréchet distribution mode.</span>
-   <span class="signature">[`skewness( alpha, s, m )`][@stdlib/stats/base/dists/frechet/skewness]</span><span class="delimiter">: </span><span class="description">Fréchet distribution skewness.</span>
-   <span class="signature">[`stdev( alpha, s, m )`][@stdlib/stats/base/dists/frechet/stdev]</span><span class="delimiter">: </span><span class="description">Fréchet distribution standard deviation.</span>
-   <span class="signature">[`variance( alpha, s, m )`][@stdlib/stats/base/dists/frechet/variance]</span><span class="delimiter">: </span><span class="description">Fréchet distribution variance.</span>

</div>

<!-- </toc> -->

The namespace contains a constructor function for creating a [Fréchet][frechet-distribution] distribution object.

<!-- <toc pattern="*ctor*"> -->

<div class="namespace-toc">

-   <span class="signature">[`Frechet( [alpha, s, m] )`][@stdlib/stats/base/dists/frechet/ctor]</span><span class="delimiter">: </span><span class="description">Fréchet distribution constructor.</span>

</div>

<!-- </toc> -->

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

var dist = new Frechet( 2.0, 4.0, 3.0 );

var y = dist.pdf( 5.5 );
// returns ~0.158
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

<!-- TODO: better examples -->

<!-- eslint no-undef: "error" -->

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

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

</section>

<!-- /.examples -->

<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->

<section class="related">

</section>

<!-- /.related -->

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<section class="main-repo" >

* * *

## 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].

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---

## License

See [LICENSE][stdlib-license].


## Copyright

Copyright &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].

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[frechet-distribution]: https://en.wikipedia.org/wiki/Fr%C3%A9chet_distribution

<!-- <toc-links> -->

[@stdlib/stats/base/dists/frechet/ctor]: https://www.npmjs.com/package/@stdlib/stats-base-dists-frechet-ctor

[@stdlib/stats/base/dists/frechet/entropy]: https://www.npmjs.com/package/@stdlib/stats-base-dists-frechet-entropy

[@stdlib/stats/base/dists/frechet/kurtosis]: https://www.npmjs.com/package/@stdlib/stats-base-dists-frechet-kurtosis

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[@stdlib/stats/base/dists/frechet/median]: https://www.npmjs.com/package/@stdlib/stats-base-dists-frechet-median

[@stdlib/stats/base/dists/frechet/mode]: https://www.npmjs.com/package/@stdlib/stats-base-dists-frechet-mode

[@stdlib/stats/base/dists/frechet/skewness]: https://www.npmjs.com/package/@stdlib/stats-base-dists-frechet-skewness

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[@stdlib/stats/base/dists/frechet/variance]: https://www.npmjs.com/package/@stdlib/stats-base-dists-frechet-variance

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[@stdlib/stats/base/dists/frechet/logcdf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-frechet-logcdf

[@stdlib/stats/base/dists/frechet/logpdf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-frechet-logpdf

[@stdlib/stats/base/dists/frechet/pdf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-frechet-pdf

[@stdlib/stats/base/dists/frechet/quantile]: https://www.npmjs.com/package/@stdlib/stats-base-dists-frechet-quantile

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