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

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# Bernoulli

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> Bernoulli distribution.

<section class="installation">

## Installation

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

</section>

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

<section class="related">

</section>

<!-- /.related -->

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<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].

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---

## License

See [LICENSE][stdlib-license].


## Copyright

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

</section>

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[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-bernoulli/main/LICENSE

[bernoulli-distribution]: https://en.wikipedia.org/wiki/Bernoulli_distribution

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

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

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

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

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

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

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

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

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

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

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

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

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