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@stdlib/stats-base-dists-logistic-cdf
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Logistic distribution cumulative distribution function.
The cumulative distribution function for a logistic random variable is
where mu
is the location parameter and s > 0
is the scale parameter.
npm install @stdlib/stats-base-dists-logistic-cdf
var cdf = require( '@stdlib/stats-base-dists-logistic-cdf' );
Evaluates the cumulative distribution function (CDF) for a logistic distribution with parameters mu
(location parameter) and s
(scale parameter).
var y = cdf( 2.0, 0.0, 1.0 );
// returns ~0.881
y = cdf( 0.0, 0.0, 1.0 );
// returns 0.5
y = cdf( -1.0, 4.0, 2.0 );
// returns ~0.076
If provided NaN
as any argument, the function returns NaN
.
var y = cdf( NaN, 0.0, 1.0 );
// returns NaN
y = cdf( 0.0, NaN, 1.0 );
// returns NaN
y = cdf( 0.0, 0.0, NaN );
// returns NaN
If provided s < 0
, the function returns NaN
.
var y = cdf( 2.0, 0.0, -1.0 );
// returns NaN
If provided s = 0
, the function evaluates the CDF of a degenerate distribution centered at mu
.
var y = cdf( 2.0, 8.0, 0.0 );
// returns 0.0
y = cdf( 8.0, 8.0, 0.0 );
// returns 1.0
y = cdf( 10.0, 8.0, 0.0 );
// returns 1.0
Returns a function for evaluating the cumulative distribution function of a logistic distribution with parameters mu
(location parameter) and s
(scale parameter).
var mycdf = cdf.factory( 10.0, 2.0 );
var y = mycdf( 10.0 );
// returns 0.5
y = mycdf( 8.0 );
// returns ~0.269
var randu = require( '@stdlib/random-base-randu' );
var cdf = require( '@stdlib/stats-base-dists-logistic-cdf' );
var mu;
var s;
var x;
var y;
var i;
for ( i = 0; i < 10; i++ ) {
x = randu() * 10.0;
mu = randu() * 10.0;
s = randu() * 10.0;
y = cdf( x, mu, s );
console.log( 'x: %d, µ: %d, s: %d, F(x;µ,s): %d', x, mu, s, y );
}
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.
See LICENSE.
Copyright © 2016-2024. The Stdlib Authors.
FAQs
Logistic distribution cumulative distribution function (CDF).
The npm package @stdlib/stats-base-dists-logistic-cdf receives a total of 15,168 weekly downloads. As such, @stdlib/stats-base-dists-logistic-cdf popularity was classified as popular.
We found that @stdlib/stats-base-dists-logistic-cdf demonstrated a healthy version release cadence and project activity because the last version was released less than a year ago. It has 4 open source maintainers collaborating on the project.
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