@stdlib/stats-base-dists-logistic-cdf
v0.2.2
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Logistic distribution cumulative distribution function (CDF).
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Cumulative Distribution Function
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.
Installation
npm install @stdlib/stats-base-dists-logistic-cdf
Usage
var cdf = require( '@stdlib/stats-base-dists-logistic-cdf' );
cdf( x, mu, s )
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
cdf.factory( mu, s )
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
Examples
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 );
}
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
License
See LICENSE.
Copyright
Copyright © 2016-2024. The Stdlib Authors.