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

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# Arcsine

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> Arcsine distribution.

<section class="installation">

## Installation

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

</section>

<section class="usage">

## Usage

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

#### arcsine

[Arcsine][arcsine-distribution] distribution.

```javascript
var dist = arcsine;
// 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/arcsine/cdf]</span><span class="delimiter">: </span><span class="description">arcsine distribution cumulative distribution function.</span>
-   <span class="signature">[`logcdf( x, a, b )`][@stdlib/stats/base/dists/arcsine/logcdf]</span><span class="delimiter">: </span><span class="description">arcsine distribution logarithm of cumulative distribution function.</span>
-   <span class="signature">[`logpdf( x, a, b )`][@stdlib/stats/base/dists/arcsine/logpdf]</span><span class="delimiter">: </span><span class="description">arcsine distribution logarithm of probability density function (PDF).</span>
-   <span class="signature">[`pdf( x, a, b )`][@stdlib/stats/base/dists/arcsine/pdf]</span><span class="delimiter">: </span><span class="description">arcsine distribution probability density function (PDF).</span>
-   <span class="signature">[`quantile( p, a, b )`][@stdlib/stats/base/dists/arcsine/quantile]</span><span class="delimiter">: </span><span class="description">arcsine 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( a, b )`][@stdlib/stats/base/dists/arcsine/entropy]</span><span class="delimiter">: </span><span class="description">arcsine distribution differential entropy.</span>
-   <span class="signature">[`kurtosis( a, b )`][@stdlib/stats/base/dists/arcsine/kurtosis]</span><span class="delimiter">: </span><span class="description">arcsine distribution excess kurtosis.</span>
-   <span class="signature">[`mean( a, b )`][@stdlib/stats/base/dists/arcsine/mean]</span><span class="delimiter">: </span><span class="description">arcsine distribution expected value.</span>
-   <span class="signature">[`median( a, b )`][@stdlib/stats/base/dists/arcsine/median]</span><span class="delimiter">: </span><span class="description">arcsine distribution median.</span>
-   <span class="signature">[`mode( a, b )`][@stdlib/stats/base/dists/arcsine/mode]</span><span class="delimiter">: </span><span class="description">arcsine distribution mode.</span>
-   <span class="signature">[`skewness( a, b )`][@stdlib/stats/base/dists/arcsine/skewness]</span><span class="delimiter">: </span><span class="description">arcsine distribution skewness.</span>
-   <span class="signature">[`stdev( a, b )`][@stdlib/stats/base/dists/arcsine/stdev]</span><span class="delimiter">: </span><span class="description">arcsine distribution standard deviation.</span>
-   <span class="signature">[`variance( a, b )`][@stdlib/stats/base/dists/arcsine/variance]</span><span class="delimiter">: </span><span class="description">arcsine distribution variance.</span>

</div>

<!-- </toc> -->

The namespace contains a constructor function for creating an [arcsine][arcsine-distribution] distribution object.

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

<div class="namespace-toc">

-   <span class="signature">[`Arcsine( [a, b] )`][@stdlib/stats/base/dists/arcsine/ctor]</span><span class="delimiter">: </span><span class="description">arcsine distribution constructor.</span>

</div>

<!-- </toc> -->

```javascript
var Arcsine = require( '@stdlib/stats-base-dists-arcsine' ).Arcsine;
var dist = new Arcsine( 2.0, 4.0 );

var mu = dist.mean;
// returns 3.0
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

<!-- TODO: better examples -->

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

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

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

</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].

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[arcsine-distribution]: https://en.wikipedia.org/wiki/Arcsine_distribution

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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</section>

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