# @stdlib/stats-base-dists-discrete-uniform

> Discrete uniform distribution.

Latest version **0.2.3** (published 2026-02-08) · Apache-2.0 license · 0 weekly downloads

## Install

```sh
npm install @stdlib/stats-base-dists-discrete-uniform
pnpm add @stdlib/stats-base-dists-discrete-uniform
yarn add @stdlib/stats-base-dists-discrete-uniform
bun add @stdlib/stats-base-dists-discrete-uniform
```

## Health

**Score 55/100 (C)** — status: stable.

Positive: has types; no vulnerabilities; high maintenance score.

Warnings: low downloads; no esm support; pre 1.0.

## Facts

| | |
|---|---|
| Version | 0.2.3 |
| Published | 2026-02-08 |
| First published | 2021-06-15 |
| Weekly downloads | 0 |
| License | Apache-2.0 |
| TypeScript types | bundled |
| Module format | CommonJS |
| Node | >=0.10.0 |
| Dependencies | 15 |
| Unpacked size | 45.3 KB |
| Known vulnerabilities | 0 |
| Install scripts | no |
| GitHub stars | 1 |
| Author | The Stdlib Authors |
| Maintainers | stdlib-bot, kgryte, planeshifter, rreusser |
| Keywords | stdlib, stdmath, standard, library, std, lib, statistics, stats, probability, distribution, dist, uniform, discrete |

## Links

- npm: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform
- Repository: https://github.com/stdlib-js/stats-base-dists-discrete-uniform
- Homepage: https://stdlib.io
- Issues: https://github.com/stdlib-js/stdlib/issues
- Funding: https://opencollective.com/stdlib
- npm.io page: https://npm.io/package/@stdlib/stats-base-dists-discrete-uniform

## Dependencies (15)

- [@stdlib/utils-define-read-only-property](https://npm.io/package/@stdlib/utils-define-read-only-property.md) ^0.2.3
- [@stdlib/stats-base-dists-discrete-uniform-cdf](https://npm.io/package/@stdlib/stats-base-dists-discrete-uniform-cdf.md) ^0.3.1
- [@stdlib/stats-base-dists-discrete-uniform-mgf](https://npm.io/package/@stdlib/stats-base-dists-discrete-uniform-mgf.md) ^0.3.0
- [@stdlib/stats-base-dists-discrete-uniform-pmf](https://npm.io/package/@stdlib/stats-base-dists-discrete-uniform-pmf.md) ^0.3.2
- [@stdlib/stats-base-dists-discrete-uniform-ctor](https://npm.io/package/@stdlib/stats-base-dists-discrete-uniform-ctor.md) ^0.2.2
- [@stdlib/stats-base-dists-discrete-uniform-mean](https://npm.io/package/@stdlib/stats-base-dists-discrete-uniform-mean.md) ^0.3.1
- [@stdlib/stats-base-dists-discrete-uniform-stdev](https://npm.io/package/@stdlib/stats-base-dists-discrete-uniform-stdev.md) ^0.2.2
- [@stdlib/stats-base-dists-discrete-uniform-logcdf](https://npm.io/package/@stdlib/stats-base-dists-discrete-uniform-logcdf.md) ^0.3.0
- [@stdlib/stats-base-dists-discrete-uniform-logpmf](https://npm.io/package/@stdlib/stats-base-dists-discrete-uniform-logpmf.md) ^0.3.1
- [@stdlib/stats-base-dists-discrete-uniform-median](https://npm.io/package/@stdlib/stats-base-dists-discrete-uniform-median.md) ^0.3.1
- [@stdlib/stats-base-dists-discrete-uniform-entropy](https://npm.io/package/@stdlib/stats-base-dists-discrete-uniform-entropy.md) ^0.3.0
- [@stdlib/stats-base-dists-discrete-uniform-kurtosis](https://npm.io/package/@stdlib/stats-base-dists-discrete-uniform-kurtosis.md) ^0.2.2
- [@stdlib/stats-base-dists-discrete-uniform-quantile](https://npm.io/package/@stdlib/stats-base-dists-discrete-uniform-quantile.md) ^0.3.1
- [@stdlib/stats-base-dists-discrete-uniform-skewness](https://npm.io/package/@stdlib/stats-base-dists-discrete-uniform-skewness.md) ^0.3.1
- [@stdlib/stats-base-dists-discrete-uniform-variance](https://npm.io/package/@stdlib/stats-base-dists-discrete-uniform-variance.md) ^0.2.1

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## Recent versions

- 0.2.3 (latest) — 2026-02-08
- 0.3.0 — 2026-01-30
- 0.2.2 — 2024-07-28
- 0.2.1 — 2024-07-28
- 0.1.1 — 2024-02-24
- 0.2.0 — 2024-02-14
- 0.1.0 — 2023-09-24
- 0.0.7 — 2022-07-08
- 0.0.6 — 2022-02-16
- 0.0.5 — 2021-08-22
- 0.0.4 — 2021-07-07
- 0.0.3 — 2021-06-27
- 0.0.2 — 2021-06-16
- 0.0.1 — 2021-06-15

## README

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@license Apache-2.0

Copyright (c) 2018 The Stdlib Authors.

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<details>
  <summary>
    About stdlib...
  </summary>
  <p>We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.</p>
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</details>

# Discrete Uniform

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

> Discrete uniform distribution.

<section class="installation">

## Installation

```bash
npm install @stdlib/stats-base-dists-discrete-uniform
```

</section>

<section class="usage">

## Usage

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

#### discreteUniform

Discrete uniform distribution.

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

The namespace contains the following distribution functions:

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

<div class="namespace-toc">

-   <span class="signature">[`cdf( x, a, b )`][@stdlib/stats/base/dists/discrete-uniform/cdf]</span><span class="delimiter">: </span><span class="description">discrete uniform distribution cumulative distribution function.</span>
-   <span class="signature">[`logcdf( x, a, b )`][@stdlib/stats/base/dists/discrete-uniform/logcdf]</span><span class="delimiter">: </span><span class="description">evaluate the natural logarithm of the cumulative distribution function for a discrete uniform distribution.</span>
-   <span class="signature">[`logpmf( x, a, b )`][@stdlib/stats/base/dists/discrete-uniform/logpmf]</span><span class="delimiter">: </span><span class="description">evaluate the natural logarithm of the probability mass function (PMF) for a discrete uniform distribution.</span>
-   <span class="signature">[`mgf( t, a, b )`][@stdlib/stats/base/dists/discrete-uniform/mgf]</span><span class="delimiter">: </span><span class="description">discrete uniform distribution moment-generating function (MGF).</span>
-   <span class="signature">[`pmf( x, a, b )`][@stdlib/stats/base/dists/discrete-uniform/pmf]</span><span class="delimiter">: </span><span class="description">discrete uniform distribution probability mass function (PMF).</span>
-   <span class="signature">[`quantile( p, a, b )`][@stdlib/stats/base/dists/discrete-uniform/quantile]</span><span class="delimiter">: </span><span class="description">discrete uniform 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/discrete-uniform/entropy]</span><span class="delimiter">: </span><span class="description">discrete uniform distribution entropy.</span>
-   <span class="signature">[`kurtosis( a, b )`][@stdlib/stats/base/dists/discrete-uniform/kurtosis]</span><span class="delimiter">: </span><span class="description">discrete uniform distribution excess kurtosis.</span>
-   <span class="signature">[`mean( a, b )`][@stdlib/stats/base/dists/discrete-uniform/mean]</span><span class="delimiter">: </span><span class="description">discrete uniform distribution expected value.</span>
-   <span class="signature">[`median( a, b )`][@stdlib/stats/base/dists/discrete-uniform/median]</span><span class="delimiter">: </span><span class="description">discrete uniform distribution median.</span>
-   <span class="signature">[`skewness( a, b )`][@stdlib/stats/base/dists/discrete-uniform/skewness]</span><span class="delimiter">: </span><span class="description">discrete uniform distribution skewness.</span>
-   <span class="signature">[`stdev( a, b )`][@stdlib/stats/base/dists/discrete-uniform/stdev]</span><span class="delimiter">: </span><span class="description">discrete uniform distribution standard deviation.</span>
-   <span class="signature">[`variance( a, b )`][@stdlib/stats/base/dists/discrete-uniform/variance]</span><span class="delimiter">: </span><span class="description">discrete uniform distribution variance.</span>

</div>

<!-- </toc> -->

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

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

<div class="namespace-toc">

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

</div>

<!-- </toc> -->

```javascript
var DiscreteUniform = require( '@stdlib/stats-base-dists-discrete-uniform' ).DiscreteUniform;

var dist = new DiscreteUniform( 2, 4 );

var y = dist.pmf( 3, 0 );
// returns ~0.333
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

<!-- TODO: better examples -->

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

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

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

</section>

<!-- /.examples -->

<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->

<section class="related">

</section>

<!-- /.related -->

<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->


<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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[discrete-uniform-distribution]: https://en.wikipedia.org/wiki/Discrete_uniform_distribution

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

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

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

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

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

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

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

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

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

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

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

[@stdlib/stats/base/dists/discrete-uniform/logpmf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-logpmf

[@stdlib/stats/base/dists/discrete-uniform/mgf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-mgf

[@stdlib/stats/base/dists/discrete-uniform/pmf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-pmf

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

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</section>

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