# Lévy > Lévy distribution.
## 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:
- [`cdf( x, mu, c )`][@stdlib/stats/base/dists/levy/cdf]: Lévy distribution cumulative distribution function. - [`logcdf( x, mu, c )`][@stdlib/stats/base/dists/levy/logcdf]: Lévy distribution logarithm of cumulative distribution function. - [`logpdf( x, mu, c )`][@stdlib/stats/base/dists/levy/logpdf]: Lévy distribution logarithm of probability density function (PDF). - [`pdf( x, mu, c )`][@stdlib/stats/base/dists/levy/pdf]: Lévy distribution probability density function (PDF). - [`quantile( p, mu, c )`][@stdlib/stats/base/dists/levy/quantile]: Lévy distribution quantile function.
The namespace contains the following functions for calculating distribution properties:
- [`entropy( mu, c )`][@stdlib/stats/base/dists/levy/entropy]: Lévy distribution differential entropy. - [`mean( mu, c )`][@stdlib/stats/base/dists/levy/mean]: Lévy distribution expected value. - [`median( mu, c )`][@stdlib/stats/base/dists/levy/median]: Lévy distribution median. - [`mode( mu, c )`][@stdlib/stats/base/dists/levy/mode]: Lévy distribution mode. - [`stdev( mu, c )`][@stdlib/stats/base/dists/levy/stdev]: Lévy distribution standard deviation. - [`variance( mu, c )`][@stdlib/stats/base/dists/levy/variance]: Lévy distribution variance.
The namespace contains a constructor function for creating a [Lévy][levy-distribution] distribution object.
- [`Levy( [mu, c] )`][@stdlib/stats/base/dists/levy/ctor]: Lévy distribution constructor.
```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 ```
## Examples ```javascript var objectKeys = require( '@stdlib/utils/keys' ); var levy = require( '@stdlib/stats/base/dists/levy' ); console.log( objectKeys( levy ) ); ```