@stdlib/stats/base/dists/frechet/README.md

Standard library statistical functions.

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# Fréchet

> Fréchet distribution.

<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>

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<section class="links">

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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</section>

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