Logistic distribution constructor.
npm install @stdlib/stats-base-dists-logistic-ctorWe 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. The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases. When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there. To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!
About stdlib...
[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]
> Logistic distribution constructor.
``bash`
npm install @stdlib/stats-base-dists-logistic-ctor
`javascript`
var Logistic = require( '@stdlib/stats-base-dists-logistic-ctor' );
#### Logistic( \[mu, s] )
Returns a [logistic][logistic-distribution] distribution object.
`javascript
var logistic = new Logistic();
var mu = logistic.mean;
// returns 0.0
`
By default, mu = 0.0 and s = 1.0. To create a distribution having a different mu (location parameter) and s (scale parameter), provide the corresponding arguments.
`javascript
var logistic = new Logistic( 2.0, 4.0 );
var mu = logistic.mean;
// returns 2.0
`
*
A [logistic][logistic-distribution] distribution object has the following properties and methods...
#### logistic.mu
Location parameter of the distribution.
`javascript
var logistic = new Logistic();
var mu = logistic.mu;
// returns 0.0
logistic.mu = 3.0;
mu = logistic.mu;
// returns 3.0
`
#### logistic.s
Scale parameter of the distribution. s must be a positive number.
`javascript
var logistic = new Logistic( 2.0, 4.0 );
var s = logistic.s;
// returns 4.0
logistic.s = 3.0;
s = logistic.s;
// returns 3.0
`
*
#### Logistic.prototype.entropy
Returns the [differential entropy][entropy].
`javascript
var logistic = new Logistic( 4.0, 12.0 );
var entropy = logistic.entropy;
// returns ~4.485
`
#### Logistic.prototype.kurtosis
Returns the [excess kurtosis][kurtosis].
`javascript
var logistic = new Logistic( 4.0, 12.0 );
var kurtosis = logistic.kurtosis;
// returns 1.2
`
#### Logistic.prototype.mean
Returns the [expected value][expected-value].
`javascript
var logistic = new Logistic( 4.0, 12.0 );
var mu = logistic.mean;
// returns 4.0
`
#### Logistic.prototype.median
Returns the [median][median].
`javascript
var logistic = new Logistic( 4.0, 12.0 );
var median = logistic.median;
// returns 4.0
`
#### Logistic.prototype.mode
Returns the [mode][mode].
`javascript
var logistic = new Logistic( 4.0, 12.0 );
var mode = logistic.mode;
// returns 4.0
`
#### Logistic.prototype.skewness
Returns the [skewness][skewness].
`javascript
var logistic = new Logistic( 4.0, 12.0 );
var skewness = logistic.skewness;
// returns 0.0
`
#### Logistic.prototype.stdev
Returns the [standard deviation][standard-deviation].
`javascript
var logistic = new Logistic( 4.0, 12.0 );
var s = logistic.stdev;
// returns ~21.766
`
#### Logistic.prototype.variance
Returns the [variance][variance].
`javascript
var logistic = new Logistic( 4.0, 12.0 );
var s2 = logistic.variance;
// returns ~473.741
`
*
#### Logistic.prototype.cdf( x )
Evaluates the [cumulative distribution function][cdf] (CDF).
`javascript
var logistic = new Logistic( 2.0, 4.0 );
var y = logistic.cdf( 0.5 );
// returns ~0.407
`
#### Logistic.prototype.logcdf( x )
Evaluates the natural logarithm of the [cumulative distribution function][cdf] (CDF).
`javascript
var logistic = new Logistic( 2.0, 4.0 );
var y = logistic.logcdf( 2.0 );
// returns ~-0.693
`
#### Logistic.prototype.logpdf( x )
Evaluates the natural logarithm of the [probability density function][pdf] (PDF).
`javascript
var logistic = new Logistic( 2.0, 4.0 );
var y = logistic.logpdf( 0.8 );
// returns ~-2.795
`
#### Logistic.prototype.mgf( t )
Evaluates the [moment-generating function][mgf] (MGF).
`javascript
var logistic = new Logistic( 2.0, 4.0 );
var y = logistic.mgf( 0.2 );
// returns ~6.379
`
#### Logistic.prototype.pdf( x )
Evaluates the [probability density function][pdf] (PDF).
`javascript
var logistic = new Logistic( 2.0, 4.0 );
var y = logistic.pdf( 2.0 );
// returns 0.0625
`
#### Logistic.prototype.quantile( p )
Evaluates the [quantile function][quantile-function] at probability p.
`javascript
var logistic = new Logistic( 2.0, 4.0 );
var y = logistic.quantile( 0.5 );
// returns 2.0
y = logistic.quantile( 1.9 );
// returns NaN
`
*
`javascript
var Logistic = require( '@stdlib/stats-base-dists-logistic-ctor' );
var logistic = new Logistic( 2.0, 4.0 );
var mean = logistic.mean;
// returns 2.0
var median = logistic.median;
// returns 2.0
var s2 = logistic.variance;
// returns ~52.638
var y = logistic.cdf( 0.8 );
// returns ~0.426
`
*
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]
---
See [LICENSE][stdlib-license].
Copyright © 2016-2026. The Stdlib [Authors][stdlib-authors].
[npm-image]: http://img.shields.io/npm/v/@stdlib/stats-base-dists-logistic-ctor.svg
[npm-url]: https://npmjs.org/package/@stdlib/stats-base-dists-logistic-ctor
[test-image]: https://github.com/stdlib-js/stats-base-dists-logistic-ctor/actions/workflows/test.yml/badge.svg?branch=v0.2.3
[test-url]: https://github.com/stdlib-js/stats-base-dists-logistic-ctor/actions/workflows/test.yml?query=branch:v0.2.3
[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-base-dists-logistic-ctor/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-logistic-ctor?branch=main
[chat-image]: https://img.shields.io/badge/zulip-join_chat-brightgreen.svg
[chat-url]: https://stdlib.zulipchat.com
[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-logistic-ctor/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-logistic-ctor/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-logistic-ctor/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-logistic-ctor/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-logistic-ctor/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-logistic-ctor/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-logistic-ctor/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-logistic-ctor/main/LICENSE
[logistic-distribution]: https://en.wikipedia.org/wiki/Logistic_distribution
[cdf]: https://en.wikipedia.org/wiki/Cumulative_distribution_function
[mgf]: https://en.wikipedia.org/wiki/Moment-generating_function
[pdf]: https://en.wikipedia.org/wiki/Probability_density_function
[quantile-function]: https://en.wikipedia.org/wiki/Quantile_function
[entropy]: https://en.wikipedia.org/wiki/Entropy_%28information_theory%29
[expected-value]: https://en.wikipedia.org/wiki/Expected_value
[kurtosis]: https://en.wikipedia.org/wiki/Kurtosis
[median]: https://en.wikipedia.org/wiki/Median
[mode]: https://en.wikipedia.org/wiki/Mode_%28statistics%29
[skewness]: https://en.wikipedia.org/wiki/Skewness
[standard-deviation]: https://en.wikipedia.org/wiki/Standard_deviation
[variance]: https://en.wikipedia.org/wiki/Variance