time-to-botec/squiggle/node_modules/@stdlib/stats/base/dists/bernoulli/README.md

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# Bernoulli
> Bernoulli distribution.
<section class="usage">
## Usage
```javascript
var bernoulli = require( '@stdlib/stats/base/dists/bernoulli' );
```
#### bernoulli
Bernoulli distribution.
```javascript
var dist = bernoulli;
// returns {...}
```
The namespace contains the following distribution functions:
<!-- <toc pattern="*+(cdf|pmf|mgf|quantile)*"> -->
<div class="namespace-toc">
- <span class="signature">[`cdf( x, p )`][@stdlib/stats/base/dists/bernoulli/cdf]</span><span class="delimiter">: </span><span class="description">Bernoulli distribution cumulative distribution function.</span>
- <span class="signature">[`mgf( t, p )`][@stdlib/stats/base/dists/bernoulli/mgf]</span><span class="delimiter">: </span><span class="description">Bernoulli distribution moment-generating function (MGF).</span>
- <span class="signature">[`pmf( x, p )`][@stdlib/stats/base/dists/bernoulli/pmf]</span><span class="delimiter">: </span><span class="description">Bernoulli distribution probability mass function (PMF).</span>
- <span class="signature">[`quantile( r, p )`][@stdlib/stats/base/dists/bernoulli/quantile]</span><span class="delimiter">: </span><span class="description">Bernoulli 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( p )`][@stdlib/stats/base/dists/bernoulli/entropy]</span><span class="delimiter">: </span><span class="description">Bernoulli distribution entropy.</span>
- <span class="signature">[`kurtosis( p )`][@stdlib/stats/base/dists/bernoulli/kurtosis]</span><span class="delimiter">: </span><span class="description">Bernoulli distribution excess kurtosis.</span>
- <span class="signature">[`mean( p )`][@stdlib/stats/base/dists/bernoulli/mean]</span><span class="delimiter">: </span><span class="description">Bernoulli distribution expected value.</span>
- <span class="signature">[`median( p )`][@stdlib/stats/base/dists/bernoulli/median]</span><span class="delimiter">: </span><span class="description">Bernoulli distribution median.</span>
- <span class="signature">[`mode( p )`][@stdlib/stats/base/dists/bernoulli/mode]</span><span class="delimiter">: </span><span class="description">Bernoulli distribution mode.</span>
- <span class="signature">[`skewness( p )`][@stdlib/stats/base/dists/bernoulli/skewness]</span><span class="delimiter">: </span><span class="description">Bernoulli distribution skewness.</span>
- <span class="signature">[`stdev( p )`][@stdlib/stats/base/dists/bernoulli/stdev]</span><span class="delimiter">: </span><span class="description">Bernoulli distribution standard deviation.</span>
- <span class="signature">[`variance( p )`][@stdlib/stats/base/dists/bernoulli/variance]</span><span class="delimiter">: </span><span class="description">Bernoulli distribution variance.</span>
</div>
<!-- </toc> -->
The namespace contains a constructor function for creating a [Bernoulli][bernoulli-distribution] distribution object.
<!-- <toc pattern="*ctor*"> -->
<div class="namespace-toc">
- <span class="signature">[`Bernoulli( [p] )`][@stdlib/stats/base/dists/bernoulli/ctor]</span><span class="delimiter">: </span><span class="description">Bernoulli distribution constructor.</span>
</div>
<!-- </toc> -->
```javascript
var Bernoulli = require( '@stdlib/stats/base/dists/bernoulli' ).Bernoulli;
var dist = new Bernoulli( 0.2 );
var y = dist.pmf( 0.0 );
// returns 0.8
y = dist.pmf( 1.0 );
// returns 0.2
```
</section>
<!-- /.usage -->
<section class="examples">
## Examples
<!-- TODO: better examples -->
<!-- eslint no-undef: "error" -->
```javascript
var objectKeys = require( '@stdlib/utils/keys' );
var bernoulli = require( '@stdlib/stats/base/dists/bernoulli' );
console.log( objectKeys( bernoulli ) );
```
</section>
<!-- /.examples -->
<section class="links">
[bernoulli-distribution]: https://en.wikipedia.org/wiki/Bernoulli_distribution
<!-- <toc-links> -->
[@stdlib/stats/base/dists/bernoulli/ctor]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/bernoulli/ctor
[@stdlib/stats/base/dists/bernoulli/entropy]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/bernoulli/entropy
[@stdlib/stats/base/dists/bernoulli/kurtosis]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/bernoulli/kurtosis
[@stdlib/stats/base/dists/bernoulli/mean]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/bernoulli/mean
[@stdlib/stats/base/dists/bernoulli/median]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/bernoulli/median
[@stdlib/stats/base/dists/bernoulli/mode]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/bernoulli/mode
[@stdlib/stats/base/dists/bernoulli/skewness]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/bernoulli/skewness
[@stdlib/stats/base/dists/bernoulli/stdev]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/bernoulli/stdev
[@stdlib/stats/base/dists/bernoulli/variance]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/bernoulli/variance
[@stdlib/stats/base/dists/bernoulli/cdf]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/bernoulli/cdf
[@stdlib/stats/base/dists/bernoulli/mgf]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/bernoulli/mgf
[@stdlib/stats/base/dists/bernoulli/pmf]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/bernoulli/pmf
[@stdlib/stats/base/dists/bernoulli/quantile]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/bernoulli/quantile
<!-- </toc-links> -->
</section>
<!-- /.links -->