## Usage
```javascript
var gumbel = require( '@stdlib/stats/base/dists/gumbel' );
```
#### gumbel
Gumbel distribution.
```javascript
var dist = gumbel;
// returns {...}
```
The namespace contains the following distribution functions:
- [`cdf( x, mu, beta )`][@stdlib/stats/base/dists/gumbel/cdf]: Gumbel distribution cumulative distribution function.
- [`logcdf( x, mu, beta )`][@stdlib/stats/base/dists/gumbel/logcdf]: Gumbel distribution logarithm of cumulative distribution function.
- [`logpdf( x, mu, beta )`][@stdlib/stats/base/dists/gumbel/logpdf]: Gumbel distribution logarithm of probability density function (PDF).
- [`mgf( t, mu, beta )`][@stdlib/stats/base/dists/gumbel/mgf]: Gumbel distribution moment-generating function (MGF).
- [`pdf( x, mu, beta )`][@stdlib/stats/base/dists/gumbel/pdf]: Gumbel distribution probability density function (PDF).
- [`quantile( p, mu, beta )`][@stdlib/stats/base/dists/gumbel/quantile]: Gumbel distribution quantile function.
The namespace contains the following functions for calculating distribution properties:
- [`entropy( mu, beta )`][@stdlib/stats/base/dists/gumbel/entropy]: Gumbel distribution differential entropy.
- [`kurtosis( mu, beta )`][@stdlib/stats/base/dists/gumbel/kurtosis]: Gumbel distribution excess kurtosis.
- [`mean( mu, beta )`][@stdlib/stats/base/dists/gumbel/mean]: Gumbel distribution expected value.
- [`median( mu, beta )`][@stdlib/stats/base/dists/gumbel/median]: Gumbel distribution median.
- [`mode( mu, beta )`][@stdlib/stats/base/dists/gumbel/mode]: Gumbel distribution mode.
- [`skewness( mu, beta )`][@stdlib/stats/base/dists/gumbel/skewness]: Gumbel distribution skewness.
- [`stdev( mu, beta )`][@stdlib/stats/base/dists/gumbel/stdev]: Gumbel distribution standard deviation.
- [`variance( mu, beta )`][@stdlib/stats/base/dists/gumbel/variance]: Gumbel distribution variance.
The namespace contains a constructor function for creating a [Gumbel][gumbel-distribution] distribution object.
- [`Gumbel( [mu, beta] )`][@stdlib/stats/base/dists/gumbel/ctor]: Gumbel distribution constructor.
```javascript
var Gumbel = require( '@stdlib/stats/base/dists/gumbel' ).Gumbel;
var dist = new Gumbel( 2.0, 4.0 );
var y = dist.pdf( 2.0 );
// returns ~0.092
```