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# Kumaraswamy

> Kumaraswamy's double bounded distribution.

<section class="usage">

## Usage

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

#### kumaraswamy

Kumaraswamy's double bounded distribution.

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

The namespace contains the following distribution functions:

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

<div class="namespace-toc">

-   <span class="signature">[`cdf( x, a, b )`][@stdlib/stats/base/dists/kumaraswamy/cdf]</span><span class="delimiter">: </span><span class="description">Kumaraswamy's double bounded distribution cumulative distribution function.</span>
-   <span class="signature">[`logcdf( x, a, b )`][@stdlib/stats/base/dists/kumaraswamy/logcdf]</span><span class="delimiter">: </span><span class="description">evaluate the natural logarithm of the cumulative distribution function for a Kumaraswamy's double bounded distribution.</span>
-   <span class="signature">[`logpdf( x, a, b )`][@stdlib/stats/base/dists/kumaraswamy/logpdf]</span><span class="delimiter">: </span><span class="description">evaluate the natural logarithm of the probability density function for a Kumaraswamy's double bounded distribution.</span>
-   <span class="signature">[`pdf( x, a, b )`][@stdlib/stats/base/dists/kumaraswamy/pdf]</span><span class="delimiter">: </span><span class="description">Kumaraswamy's double bounded distribution probability density function.</span>
-   <span class="signature">[`quantile( p, a, b )`][@stdlib/stats/base/dists/kumaraswamy/quantile]</span><span class="delimiter">: </span><span class="description">Kumaraswamy's double bounded 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">[`kurtosis( a, b )`][@stdlib/stats/base/dists/kumaraswamy/kurtosis]</span><span class="delimiter">: </span><span class="description">Kumaraswamy's double bounded distribution excess kurtosis.</span>
-   <span class="signature">[`mean( a, b )`][@stdlib/stats/base/dists/kumaraswamy/mean]</span><span class="delimiter">: </span><span class="description">Kumaraswamy's double bounded distribution expected value.</span>
-   <span class="signature">[`median( a, b )`][@stdlib/stats/base/dists/kumaraswamy/median]</span><span class="delimiter">: </span><span class="description">Kumaraswamy's double bounded distribution median.</span>
-   <span class="signature">[`mode( a, b )`][@stdlib/stats/base/dists/kumaraswamy/mode]</span><span class="delimiter">: </span><span class="description">Kumaraswamy's double bounded distribution mode.</span>
-   <span class="signature">[`skewness( a, b )`][@stdlib/stats/base/dists/kumaraswamy/skewness]</span><span class="delimiter">: </span><span class="description">Kumaraswamy's double bounded distribution skewness.</span>
-   <span class="signature">[`stdev( a, b )`][@stdlib/stats/base/dists/kumaraswamy/stdev]</span><span class="delimiter">: </span><span class="description">Kumaraswamy's double bounded distribution standard deviation.</span>
-   <span class="signature">[`variance( a, b )`][@stdlib/stats/base/dists/kumaraswamy/variance]</span><span class="delimiter">: </span><span class="description">Kumaraswamy's double bounded distribution variance.</span>

</div>

<!-- </toc> -->

The namespace contains a constructor function for creating a [Kumaraswamy's double bounded][kumaraswamy-distribution] distribution object.

<!-- <toc pattern="*ctor*"> -->

<div class="namespace-toc">

-   <span class="signature">[`Kumaraswamy( [a, b] )`][@stdlib/stats/base/dists/kumaraswamy/ctor]</span><span class="delimiter">: </span><span class="description">Kumaraswamy's double bounded distribution constructor.</span>

</div>

<!-- </toc> -->

```javascript
var Kumaraswamy = require( '@stdlib/stats/base/dists/kumaraswamy' ).Kumaraswamy;

var dist = new Kumaraswamy( 2.0, 4.0 );

var y = dist.logpdf( 0.8 );
// returns ~-1.209
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

<!-- TODO: better examples -->

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

```javascript
var objectKeys = require( '@stdlib/utils/keys' );
var kumaraswamy = require( '@stdlib/stats/base/dists/kumaraswamy' );

console.log( objectKeys( kumaraswamy ) );
```

</section>

<!-- /.examples -->

<section class="links">

[kumaraswamy-distribution]: https://en.wikipedia.org/wiki/Kumaraswamy_distribution

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

[@stdlib/stats/base/dists/kumaraswamy/ctor]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/kumaraswamy/ctor

[@stdlib/stats/base/dists/kumaraswamy/kurtosis]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/kumaraswamy/kurtosis

[@stdlib/stats/base/dists/kumaraswamy/mean]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/kumaraswamy/mean

[@stdlib/stats/base/dists/kumaraswamy/median]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/kumaraswamy/median

[@stdlib/stats/base/dists/kumaraswamy/mode]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/kumaraswamy/mode

[@stdlib/stats/base/dists/kumaraswamy/skewness]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/kumaraswamy/skewness

[@stdlib/stats/base/dists/kumaraswamy/stdev]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/kumaraswamy/stdev

[@stdlib/stats/base/dists/kumaraswamy/variance]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/kumaraswamy/variance

[@stdlib/stats/base/dists/kumaraswamy/cdf]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/kumaraswamy/cdf

[@stdlib/stats/base/dists/kumaraswamy/logcdf]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/kumaraswamy/logcdf

[@stdlib/stats/base/dists/kumaraswamy/logpdf]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/kumaraswamy/logpdf

[@stdlib/stats/base/dists/kumaraswamy/pdf]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/kumaraswamy/pdf

[@stdlib/stats/base/dists/kumaraswamy/quantile]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dists/kumaraswamy/quantile

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

</section>

<!-- /.links -->