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https://github.com/stdlib-js/stats-base-dists-hypergeometric

Hypergeometric distribution.
https://github.com/stdlib-js/stats-base-dists-hypergeometric

discrete dist distribution hypergeometric javascript lib library node node-js nodejs probability standard statistics stats stdlib univariate

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Hypergeometric distribution.

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README

        


About stdlib...

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# Hypergeometric

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

> Hypergeometric distribution.

## Installation

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

Alternatively,

- To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]).
- If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions).
- For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]).

The [branches.md][branches-url] file summarizes the available branches and displays a diagram illustrating their relationships.

To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.

## Usage

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

#### hypergeometric

Hypergeometric distribution.

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

The namespace contains the following distribution functions:

- [`cdf( x, N, K, n )`][@stdlib/stats/base/dists/hypergeometric/cdf]: hypergeometric distribution cumulative distribution function.
- [`logpmf( x, N, K, n )`][@stdlib/stats/base/dists/hypergeometric/logpmf]: evaluate the natural logarithm of the probability mass function (PMF) for a hypergeometric distribution.
- [`pmf( x, N, K, n )`][@stdlib/stats/base/dists/hypergeometric/pmf]: hypergeometric distribution probability mass function (PMF).
- [`quantile( p, N, K, n )`][@stdlib/stats/base/dists/hypergeometric/quantile]: hypergeometric distribution quantile function.

The namespace contains the following functions for calculating distribution properties:

- [`kurtosis( N, K, n )`][@stdlib/stats/base/dists/hypergeometric/kurtosis]: hypergeometric distribution excess kurtosis.
- [`mean( N, K, n )`][@stdlib/stats/base/dists/hypergeometric/mean]: hypergeometric distribution expected value.
- [`mode( N, K, n )`][@stdlib/stats/base/dists/hypergeometric/mode]: hypergeometric distribution mode.
- [`skewness( N, K, n )`][@stdlib/stats/base/dists/hypergeometric/skewness]: hypergeometric distribution skewness.
- [`stdev( N, K, n )`][@stdlib/stats/base/dists/hypergeometric/stdev]: hypergeometric distribution standard deviation.
- [`variance( N, K, n )`][@stdlib/stats/base/dists/hypergeometric/variance]: hypergeometric distribution variance.

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

- [`Hypergeometric( N, K, n )`][@stdlib/stats/base/dists/hypergeometric/ctor]: hypergeometric distribution constructor.

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

var dist = new Hypergeometric( 8, 2, 4 );

var y = dist.cdf( 0.5 );
// returns ~0.214
```

## Examples

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

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

* * *

## 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 © 2016-2024. The Stdlib [Authors][stdlib-authors].

[npm-image]: http://img.shields.io/npm/v/@stdlib/stats-base-dists-hypergeometric.svg
[npm-url]: https://npmjs.org/package/@stdlib/stats-base-dists-hypergeometric

[test-image]: https://github.com/stdlib-js/stats-base-dists-hypergeometric/actions/workflows/test.yml/badge.svg?branch=main
[test-url]: https://github.com/stdlib-js/stats-base-dists-hypergeometric/actions/workflows/test.yml?query=branch:main

[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-base-dists-hypergeometric/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-hypergeometric?branch=main

[chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg
[chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im

[stdlib]: https://github.com/stdlib-js/stdlib

[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors

[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules

[deno-url]: https://github.com/stdlib-js/stats-base-dists-hypergeometric/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-hypergeometric/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-hypergeometric/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-hypergeometric/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-hypergeometric/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-hypergeometric/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-hypergeometric/blob/main/branches.md

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

[hypergeometric-distribution]: https://en.wikipedia.org/wiki/Hypergeometric_distribution

[@stdlib/stats/base/dists/hypergeometric/ctor]: https://github.com/stdlib-js/stats-base-dists-hypergeometric-ctor

[@stdlib/stats/base/dists/hypergeometric/kurtosis]: https://github.com/stdlib-js/stats-base-dists-hypergeometric-kurtosis

[@stdlib/stats/base/dists/hypergeometric/mean]: https://github.com/stdlib-js/stats-base-dists-hypergeometric-mean

[@stdlib/stats/base/dists/hypergeometric/mode]: https://github.com/stdlib-js/stats-base-dists-hypergeometric-mode

[@stdlib/stats/base/dists/hypergeometric/skewness]: https://github.com/stdlib-js/stats-base-dists-hypergeometric-skewness

[@stdlib/stats/base/dists/hypergeometric/stdev]: https://github.com/stdlib-js/stats-base-dists-hypergeometric-stdev

[@stdlib/stats/base/dists/hypergeometric/variance]: https://github.com/stdlib-js/stats-base-dists-hypergeometric-variance

[@stdlib/stats/base/dists/hypergeometric/cdf]: https://github.com/stdlib-js/stats-base-dists-hypergeometric-cdf

[@stdlib/stats/base/dists/hypergeometric/logpmf]: https://github.com/stdlib-js/stats-base-dists-hypergeometric-logpmf

[@stdlib/stats/base/dists/hypergeometric/pmf]: https://github.com/stdlib-js/stats-base-dists-hypergeometric-pmf

[@stdlib/stats/base/dists/hypergeometric/quantile]: https://github.com/stdlib-js/stats-base-dists-hypergeometric-quantile