@stdlib/stats-base-dists-logistic-quantile
TypeScript icon, indicating that this package has built-in type declarations

0.2.1 • Public • Published
About stdlib...

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.

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!

Quantile Function

NPM version Build Status Coverage Status

Logistic distribution quantile function.

The quantile function for a logistic random variable is

Quantile function for a logistic distribution.

for 0 <= p < 1, where µ is the location parameter and s > 0 is the scale parameter.

Installation

npm install @stdlib/stats-base-dists-logistic-quantile

Usage

var quantile = require( '@stdlib/stats-base-dists-logistic-quantile' );

quantile( p, mu, s )

Evaluates the quantile function for a logistic distribution with parameters mu (location parameter) and s (scale parameter).

var y = quantile( 0.5, 0.0, 1.0 );
// returns 0.0

y = quantile( 0.2, 4.0, 2.0 );
// returns ~1.227

If provided a probability p outside the interval [0,1], the function returns NaN.

var y = quantile( 1.9, 0.0, 1.0 );
// returns NaN

y = quantile( -0.1, 0.0, 1.0 );
// returns NaN

If provided NaN as any argument, the function returns NaN.

var y = quantile( NaN, 0.0, 1.0 );
// returns NaN

y = quantile( 0.0, NaN, 1.0 );
// returns NaN

y = quantile( 0.0, 0.0, NaN );
// returns NaN

If provided s < 0, the function returns NaN.

var y = quantile( 0.4, 0.0, -1.0 );
// returns NaN

If provided s = 0, the function evaluates the quantile function of a degenerate distribution centered at mu.

var y = quantile( 0.3, 8.0, 0.0 );
// returns 8.0

y = quantile( 0.9, 8.0, 0.0 );
// returns 8.0

quantile.factory( mu, s )

Returns a function for evaluating the quantile function of a logistic distribution with parameters mu and s.

var myQuantile = quantile.factory( 10.0, 2.0 );

var y = myQuantile( 0.2 );
// returns ~7.227

y = myQuantile( 0.8 );
// returns ~12.773

Examples

var randu = require( '@stdlib/random-base-randu' );
var quantile = require( '@stdlib/stats-base-dists-logistic-quantile' );

var mu;
var s;
var p;
var y;
var i;

for ( i = 0; i < 10; i++ ) {
    p = randu();
    mu = randu() * 10.0;
    s = randu() * 10.0;
    y = quantile( p, mu, s );
    console.log( 'p: %d, µ: %d, s: %d, Q(p;µ,s): %d', p, mu, s, y );
}

Notice

This package is part of 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, see the main project repository.

Community

Chat


License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.

Package Sidebar

Install

npm i @stdlib/stats-base-dists-logistic-quantile

Homepage

stdlib.io

Weekly Downloads

54

Version

0.2.1

License

Apache-2.0

Unpacked Size

45 kB

Total Files

13

Last publish

Collaborators

  • stdlib-bot
  • kgryte
  • planeshifter
  • rreusser