npm package: @stdlib/stats-base-dists-bradford
Description: Bradford distribution.
Author: The Stdlib Authors
Latest version: 0.1.1

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  <summary>
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</details>

# Bradford

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] <!-- [![dependencies][dependencies-image]][dependencies-url] -->

> Bradford distribution.

<section class="installation">

## Installation

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

</section>

<section class="usage">

## Usage

```javascript
var bradford = require( '@stdlib/stats-base-dists-bradford' );
```

#### bradford

[Bradford][bradford-distribution] distribution.

```javascript
var dist = bradford;
// returns {...}
```

The namespace contains the following distribution functions:

<!-- <toc pattern="*+(cdf|pdf|mgf|quantile)*"> -->

<div class="namespace-toc">

-   <span class="signature">[`cdf( x, c )`][@stdlib/stats/base/dists/bradford/cdf]</span><span class="delimiter">: </span><span class="description">bradford distribution cumulative distribution function (CDF).</span>
-   <span class="signature">[`pdf( x, c )`][@stdlib/stats/base/dists/bradford/pdf]</span><span class="delimiter">: </span><span class="description">bradford distribution probability density function (PDF).</span>
-   <span class="signature">[`quantile( p, c )`][@stdlib/stats/base/dists/bradford/quantile]</span><span class="delimiter">: </span><span class="description">bradford distribution quantile function.</span>

</div>

<!-- </toc> -->

The namespace contains the following functions for calculating distribution properties:

<!-- <toc pattern="*+(entropy|mean|median|mode|skewness|stdev|variance)*"> -->

<div class="namespace-toc">

-   <span class="signature">[`entropy( c )`][@stdlib/stats/base/dists/bradford/entropy]</span><span class="delimiter">: </span><span class="description">bradford distribution differential entropy.</span>
-   <span class="signature">[`mean( c )`][@stdlib/stats/base/dists/bradford/mean]</span><span class="delimiter">: </span><span class="description">bradford distribution expected value.</span>
-   <span class="signature">[`median( c )`][@stdlib/stats/base/dists/bradford/median]</span><span class="delimiter">: </span><span class="description">bradford distribution median.</span>
-   <span class="signature">[`mode( c )`][@stdlib/stats/base/dists/bradford/mode]</span><span class="delimiter">: </span><span class="description">bradford distribution mode.</span>
-   <span class="signature">[`skewness( c )`][@stdlib/stats/base/dists/bradford/skewness]</span><span class="delimiter">: </span><span class="description">bradford distribution skewness.</span>
-   <span class="signature">[`stdev( c )`][@stdlib/stats/base/dists/bradford/stdev]</span><span class="delimiter">: </span><span class="description">bradford distribution standard deviation.</span>
-   <span class="signature">[`variance( c )`][@stdlib/stats/base/dists/bradford/variance]</span><span class="delimiter">: </span><span class="description">bradford distribution variance.</span>

</div>

<!-- </toc> -->

</section>

<!-- /.usage -->

<section class="examples">

## Examples

<!-- eslint no-undef: "error" -->

```javascript
var bradford = require( '@stdlib/stats-base-dists-bradford' );

/*
* The Bradford distribution is defined over [0,1] with shape parameter c.
*/

var c = 2.0;

// Compute the mean:
var mu = bradford.mean( c );
// returns ~0.410

// Compute the median:
var median = bradford.median( c );
// returns ~0.366

// Compute the variance:
var s2 = bradford.variance( c );
// returns ~0.082

// Compute the standard deviation:
var sigma = bradford.stdev( c );
// returns ~0.286

// Evaluate the PDF at x = 0.5:
var y = bradford.pdf( 0.5, c );
// returns ~0.910

// Evaluate the CDF at x = 0.5:
var p = bradford.cdf( 0.5, c );
// returns ~0.631

// Compute the 50th percentile (median):
var q = bradford.quantile( 0.5, c );
// returns ~0.366

// Compute the entropy:
var h = bradford.entropy( c );
// returns ~-0.050

// Compute the skewness:
var skew = bradford.skewness( c );
// returns ~0.378

// Compute the mode:
var mode = bradford.mode( c );
// returns 0.0
```

</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].

#### Community

[![Chat][chat-image]][chat-url]

---

## License

See [LICENSE][stdlib-license].


## Copyright

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

</section>

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[bradford-distribution]: https://en.wikipedia.org/wiki/Bradford_distribution

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

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

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

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

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

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

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

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

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

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

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

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

</section>

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