npm package: @stdlib/stats-base-dists-truncated-normal
Description: Truncated normal distribution.
Author: The Stdlib Authors
Latest version: 0.2.3

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<details>
  <summary>
    About stdlib...
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  <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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# Truncated Normal

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

> Truncated normal distribution.

<section class="installation">

## Installation

```bash
npm install @stdlib/stats-base-dists-truncated-normal
```

</section>

<section class="usage">

## Usage

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

#### truncatedNormal

Truncated normal distribution.

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

The namespace contains the following distribution functions:

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

<div class="namespace-toc">

-   <span class="signature">[`pdf( x, a, b, mu, sigma )`][@stdlib/stats/base/dists/truncated-normal/pdf]</span><span class="delimiter">: </span><span class="description">truncated normal distribution probability density function (PDF).</span>

</div>

<!-- </toc> -->

The namespace contains the following functions for calculating distribution properties:

<!-- <toc pattern="*+(entropy|kurtosis|mean|median|mode|skewness|stdev|variance)*"> -->

<!-- </toc> -->

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

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</section>

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<section class="examples">

## Examples

<!-- TODO: better examples -->

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

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

/*
* Let's consider an example where we're modeling the heights of astronauts.
* We'll use the truncated normal distribution to model this scenario, considering constraints on their minimum and maximum heights.
* The distribution has parameters: a (minimum height), b (maximum height), mu (location parameter), and sigma (scale parameter).
* In this example, we'll assume a = 150 (minimum height), b = 200 (maximum height), mu = 175 (location parameter), and sigma = 10 (scale parameter).
*/

var a = 150.0;
var b = 200.0;
var mu = 175.0;
var sigma = 10.0;

// Calculate the probability density function (PDF) for a height of 180 cm:
console.log( truncatedNormal.pdf( 180, a, b, mu, sigma ) );
// => ~0.036
```

</section>

<!-- /.examples -->

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<section class="related">

</section>

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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].

#### Community

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---

## License

See [LICENSE][stdlib-license].


## Copyright

Copyright &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].

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[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-truncated-normal/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-truncated-normal/blob/deno/README.md
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[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-truncated-normal/main/LICENSE

[truncated-normal-distribution]: https://en.wikipedia.org/wiki/Truncated_normal_distribution

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

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</section>

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