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

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</details>

# Cosine

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

> Raised cosine distribution.

<section class="installation">

## Installation

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

</section>

<section class="usage">

## Usage

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

#### cosine

Raised cosine distribution.

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

The namespace contains the following distribution functions:

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

<div class="namespace-toc">

-   <span class="signature">[`cdf( x, mu, s )`][@stdlib/stats/base/dists/cosine/cdf]</span><span class="delimiter">: </span><span class="description">raised cosine distribution cumulative distribution function.</span>
-   <span class="signature">[`logcdf( x, mu, s )`][@stdlib/stats/base/dists/cosine/logcdf]</span><span class="delimiter">: </span><span class="description">evaluate the natural logarithm of the cumulative distribution function (CDF) for a raised cosine distribution.</span>
-   <span class="signature">[`logpdf( x, mu, s )`][@stdlib/stats/base/dists/cosine/logpdf]</span><span class="delimiter">: </span><span class="description">raised cosine distribution logarithm of probability density function (PDF).</span>
-   <span class="signature">[`mgf( t, mu, s )`][@stdlib/stats/base/dists/cosine/mgf]</span><span class="delimiter">: </span><span class="description">raised cosine distribution moment-generating function.</span>
-   <span class="signature">[`pdf( x, mu, s )`][@stdlib/stats/base/dists/cosine/pdf]</span><span class="delimiter">: </span><span class="description">raised cosine distribution probability density function (PDF).</span>
-   <span class="signature">[`quantile( p, mu, s )`][@stdlib/stats/base/dists/cosine/quantile]</span><span class="delimiter">: </span><span class="description">raised cosine 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( mu, s )`][@stdlib/stats/base/dists/cosine/kurtosis]</span><span class="delimiter">: </span><span class="description">raised cosine distribution excess kurtosis.</span>
-   <span class="signature">[`mean( mu, s )`][@stdlib/stats/base/dists/cosine/mean]</span><span class="delimiter">: </span><span class="description">raised cosine distribution expected value.</span>
-   <span class="signature">[`median( mu, s )`][@stdlib/stats/base/dists/cosine/median]</span><span class="delimiter">: </span><span class="description">raised cosine distribution median.</span>
-   <span class="signature">[`mode( mu, s )`][@stdlib/stats/base/dists/cosine/mode]</span><span class="delimiter">: </span><span class="description">raised cosine distribution mode.</span>
-   <span class="signature">[`skewness( mu, s )`][@stdlib/stats/base/dists/cosine/skewness]</span><span class="delimiter">: </span><span class="description">raised cosine distribution skewness.</span>
-   <span class="signature">[`stdev( mu, s )`][@stdlib/stats/base/dists/cosine/stdev]</span><span class="delimiter">: </span><span class="description">raised cosine distribution standard deviation.</span>
-   <span class="signature">[`variance( mu, s )`][@stdlib/stats/base/dists/cosine/variance]</span><span class="delimiter">: </span><span class="description">raised cosine distribution variance.</span>

</div>

<!-- </toc> -->

The namespace contains a constructor function for creating a [raised cosine][cosine-distribution] distribution object.

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

<div class="namespace-toc">

-   <span class="signature">[`Cosine( [mu, s] )`][@stdlib/stats/base/dists/cosine/ctor]</span><span class="delimiter">: </span><span class="description">raised cosine distribution constructor.</span>

</div>

<!-- </toc> -->

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

var dist = new Cosine( 2.0, 4.0 );

var y = dist.cdf( 0.5 );
// returns ~0.165
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

<!-- TODO: better examples -->

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

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

// Create a raised cosine distribution:
var mu = 2.0;
var s = 1.5;
var dist = new cosine.Cosine( mu, s );

// Calculate various distribution properties:
var v = dist.mean;
// returns 2.0

v = dist.median;
// returns 2.0

v = dist.mode;
// returns 2.0

v = dist.stdev;
// returns ~0.5423

v = dist.variance;
// returns ~0.2941

// Evaluate the probability density function (PDF):
v = dist.pdf( 1.5 );
// returns 0.5

// Evaluate the cumulative distribution function (CDF):
v = dist.cdf( 1.5 );
// returns ~0.1955

// Calculate distribution moments:
v = cosine.skewness( mu, s );
// returns 0.0

v = cosine.kurtosis( mu, s );
// returns ~-0.5938
```

</section>

<!-- /.examples -->

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<section class="related">

</section>

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* * *

## 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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[cosine-distribution]: https://en.wikipedia.org/wiki/Raised_cosine_distribution

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

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

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

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

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

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

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

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

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

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

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

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

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