castcle-cdf
v0.0.0
Published
Exponential distribution cumulative distribution function (CDF).
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Cumulative Distribution Function
Exponential distribution cumulative distribution function.
The cumulative distribution function for an exponential random variable is
where λ
is the rate parameter.
Installation
npm install @stdlib/stats-base-dists-exponential-cdf
Alternatively,
- To load the package in a website via a
script
tag without installation and bundlers, use the ES Module available on theesm
branch. - If you are using Deno, visit the
deno
branch. - For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the
umd
branch.
Usage
var cdf = require( '@stdlib/stats-base-dists-exponential-cdf' );
cdf( x, lambda )
Evaluates the cumulative distribution function for an exponential distribution with rate parameter lambda
.
var y = cdf( 2.0, 0.3 );
// returns ~0.451
y = cdf( 10.0, 0.3 );
// returns ~0.95
If provided NaN
as any argument, the function returns NaN
.
var y = cdf( NaN, 0.0 );
// returns NaN
y = cdf( 0.0, NaN );
// returns NaN
If provided lambda < 0
, the function returns NaN
.
var y = cdf( 2.0, -1.0 );
// returns NaN
cdf.factory( lambda )
Returns a function for evaluating the cumulative distribution function (CDF) for an exponential distribution with rate parameter lambda
.
var mycdf = cdf.factory( 0.1 );
var y = mycdf( 8.0 );
// returns ~0.551
y = mycdf( 2.0 );
// returns ~0.181
y = mycdf( 0.0 );
// returns 0.0
Examples
var randu = require( '@stdlib/random-base-randu' );
var cdf = require( '@stdlib/stats-base-dists-exponential-cdf' );
var lambda;
var x;
var y;
var i;
for ( i = 0; i < 10; i++ ) {
x = randu() * 10.0;
lambda = randu() * 10.0;
y = cdf( x, lambda );
console.log( 'x: %d, λ: %d, F(x;λ): %d', x, lambda, 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 © 2016-2022. The Stdlib Authors.