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Laplace distribution cumulative distribution function.
The cumulative distribution function for a Laplace random variable is
where mu is the location parameter and b > 0 is the scale parameter.
To use in Observable,
cdf = require( 'https://cdn.jsdelivr.net/gh/stdlib-js/stats-base-dists-laplace-cdf@umd/browser.js' )To vendor stdlib functionality and avoid installing dependency trees for Node.js, you can use the UMD server build:
var cdf = require( 'path/to/vendor/umd/stats-base-dists-laplace-cdf/index.js' )To include the bundle in a webpage,
<script type="text/javascript" src="https://cdn.jsdelivr.net/gh/stdlib-js/stats-base-dists-laplace-cdf@umd/browser.js"></script>If no recognized module system is present, access bundle contents via the global scope:
<script type="text/javascript">
(function () {
window.cdf;
})();
</script>Evaluates the cumulative distribution function (CDF) for a Laplace distribution with parameters mu (location parameter) and b > 0 (scale parameter).
var y = cdf( 2.0, 0.0, 1.0 );
// returns ~0.932
y = cdf( 5.0, 10.0, 3.0 );
// returns ~0.094If 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 NaNIf provided b <= 0, the function returns NaN.
var y = cdf( 2.0, 0.0, -1.0 );
// returns NaN
y = cdf( 2.0, 0.0, 0.0 );
// returns NaNReturns a function for evaluating the cumulative distribution function of a Laplace distribution with parameters mu (location parameter) and b > 0 (scale parameter).
var mycdf = cdf.factory( 3.0, 1.5 );
var y = mycdf( 1.0 );
// returns ~0.132
y = mycdf( 4.0 );
// returns ~0.743<!DOCTYPE html>
<html lang="en">
<body>
<script type="text/javascript" src="https://cdn.jsdelivr.net/gh/stdlib-js/random-base-randu@umd/browser.js"></script>
<script type="text/javascript" src="https://cdn.jsdelivr.net/gh/stdlib-js/stats-base-dists-laplace-cdf@umd/browser.js"></script>
<script type="text/javascript">
(function () {
var mu;
var b;
var x;
var y;
var i;
for ( i = 0; i < 100; i++ ) {
x = randu() * 10.0;
mu = randu() * 10.0;
b = randu() * 10.0;
y = cdf( x, mu, b );
console.log( 'x: %d, µ: %d, b: %d, F(x;µ,b): %d', x.toFixed( 4 ), mu.toFixed( 4 ), b.toFixed( 4 ), y.toFixed( 4 ) );
}
})();
</script>
</body>
</html>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.