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

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  <summary>
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</details>

# Lévy

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

> Lévy distribution.

<section class="installation">

## Installation

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

</section>

<section class="usage">

## Usage

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

#### levy

Lévy distribution.

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

The namespace contains the following distribution functions:

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

<div class="namespace-toc">

-   <span class="signature">[`cdf( x, mu, c )`][@stdlib/stats/base/dists/levy/cdf]</span><span class="delimiter">: </span><span class="description">Lévy distribution cumulative distribution function.</span>
-   <span class="signature">[`logcdf( x, mu, c )`][@stdlib/stats/base/dists/levy/logcdf]</span><span class="delimiter">: </span><span class="description">Lévy distribution logarithm of cumulative distribution function.</span>
-   <span class="signature">[`logpdf( x, mu, c )`][@stdlib/stats/base/dists/levy/logpdf]</span><span class="delimiter">: </span><span class="description">Lévy distribution logarithm of probability density function (PDF).</span>
-   <span class="signature">[`pdf( x, mu, c )`][@stdlib/stats/base/dists/levy/pdf]</span><span class="delimiter">: </span><span class="description">Lévy distribution probability density function (PDF).</span>
-   <span class="signature">[`quantile( p, mu, c )`][@stdlib/stats/base/dists/levy/quantile]</span><span class="delimiter">: </span><span class="description">Lévy 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( mu, c )`][@stdlib/stats/base/dists/levy/entropy]</span><span class="delimiter">: </span><span class="description">Lévy distribution differential entropy.</span>
-   <span class="signature">[`mean( mu, c )`][@stdlib/stats/base/dists/levy/mean]</span><span class="delimiter">: </span><span class="description">Lévy distribution expected value.</span>
-   <span class="signature">[`median( mu, c )`][@stdlib/stats/base/dists/levy/median]</span><span class="delimiter">: </span><span class="description">Lévy distribution median.</span>
-   <span class="signature">[`mode( mu, c )`][@stdlib/stats/base/dists/levy/mode]</span><span class="delimiter">: </span><span class="description">Lévy distribution mode.</span>
-   <span class="signature">[`stdev( mu, c )`][@stdlib/stats/base/dists/levy/stdev]</span><span class="delimiter">: </span><span class="description">Lévy distribution standard deviation.</span>
-   <span class="signature">[`variance( mu, c )`][@stdlib/stats/base/dists/levy/variance]</span><span class="delimiter">: </span><span class="description">Lévy distribution variance.</span>

</div>

<!-- </toc> -->

The namespace contains a constructor function for creating a [Lévy][levy-distribution] distribution object.

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

<div class="namespace-toc">

-   <span class="signature">[`Levy( [mu, c] )`][@stdlib/stats/base/dists/levy/ctor]</span><span class="delimiter">: </span><span class="description">Lévy distribution constructor.</span>

</div>

<!-- </toc> -->

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

var dist = new Levy( 2.0, 4.0 );

var y = dist.pdf( 2.5 );
// returns ~0.041
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

<!-- TODO: better examples -->

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

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

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

</section>

<!-- /.examples -->

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

<section class="related">

</section>

<!-- /.related -->

<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->


<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].

#### Community

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

---

## License

See [LICENSE][stdlib-license].


## Copyright

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

</section>

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[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-levy/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-levy/blob/deno/README.md
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[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-levy/main/LICENSE

[levy-distribution]: https://en.wikipedia.org/wiki/L%C3%A9vy_distribution

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

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

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

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

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

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

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

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

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

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

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

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

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

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

</section>

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