# Laplace > Laplace distribution.
## Usage ```javascript var laplace = require( '@stdlib/stats/base/dists/laplace' ); ``` #### laplace Laplace distribution. ```javascript var dist = laplace; // returns {...} ``` The namespace contains the following distribution functions:
- [`cdf( x, mu, b )`][@stdlib/stats/base/dists/laplace/cdf]: Laplace distribution cumulative distribution function. - [`logcdf( x, mu, b )`][@stdlib/stats/base/dists/laplace/logcdf]: Laplace distribution logarithm of cumulative distribution function. - [`logpdf( x, mu, b )`][@stdlib/stats/base/dists/laplace/logpdf]: Laplace distribution logarithm of probability density function (PDF). - [`mgf( t, mu, b )`][@stdlib/stats/base/dists/laplace/mgf]: Laplace distribution moment-generating function (MGF). - [`pdf( x, mu, b )`][@stdlib/stats/base/dists/laplace/pdf]: Laplace distribution probability density function (PDF). - [`quantile( p, mu, b )`][@stdlib/stats/base/dists/laplace/quantile]: Laplace distribution quantile function.
The namespace contains the following functions for calculating distribution properties:
- [`entropy( mu, b )`][@stdlib/stats/base/dists/laplace/entropy]: Laplace distribution differential entropy. - [`kurtosis( mu, b )`][@stdlib/stats/base/dists/laplace/kurtosis]: Laplace distribution excess kurtosis. - [`mean( mu, b )`][@stdlib/stats/base/dists/laplace/mean]: Laplace distribution expected value. - [`median( mu, b )`][@stdlib/stats/base/dists/laplace/median]: Laplace distribution median. - [`mode( mu, b )`][@stdlib/stats/base/dists/laplace/mode]: Laplace distribution mode. - [`skewness( mu, b )`][@stdlib/stats/base/dists/laplace/skewness]: Laplace distribution skewness. - [`stdev( mu, b )`][@stdlib/stats/base/dists/laplace/stdev]: Laplace distribution standard deviation. - [`variance( mu, b )`][@stdlib/stats/base/dists/laplace/variance]: Laplace distribution variance.
The namespace contains a constructor function for creating a [Laplace][laplace-distribution] distribution object.
- [`Laplace( [mu, b] )`][@stdlib/stats/base/dists/laplace/ctor]: Laplace distribution constructor.
```javascript var Laplace = require( '@stdlib/stats/base/dists/laplace' ).Laplace; var dist = new Laplace( 2.0, 4.0 ); var y = dist.cdf( 0.5 ); // returns ~0.344 ```
## Examples ```javascript var objectKeys = require( '@stdlib/utils/keys' ); var laplace = require( '@stdlib/stats/base/dists/laplace' ); console.log( objectKeys( laplace ) ); ```