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Rayleigh distribution constructor.
To use in Observable,
Rayleigh = require( 'https://cdn.jsdelivr.net/gh/stdlib-js/stats-base-dists-rayleigh-ctor@umd/browser.js' )
To vendor stdlib functionality and avoid installing dependency trees for Node.js, you can use the UMD server build:
var Rayleigh = require( 'path/to/vendor/umd/stats-base-dists-rayleigh-ctor/index.js' )
To include the bundle in a webpage,
<script type="text/javascript" src="https://cdn.jsdelivr.net/gh/stdlib-js/stats-base-dists-rayleigh-ctor@umd/browser.js"></script>
If no recognized module system is present, access bundle contents via the global scope:
<script type="text/javascript">
(function () {
window.Rayleigh;
})();
</script>
Returns an Rayleigh distribution object.
var rayleigh = new Rayleigh();
var mu = rayleigh.mean;
// returns ~1.253
By default, sigma = 1.0
. To create a distribution having a different scale parameter sigma
, provide a parameter value.
var rayleigh = new Rayleigh( 4.0 );
var mu = rayleigh.mean;
// returns ~5.013
A Rayleigh distribution object has the following properties and methods...
Scale parameter of the distribution. sigma
must be a positive number.
var rayleigh = new Rayleigh( 2.0 );
var sigma = rayleigh.sigma;
// returns 2.0
rayleigh.sigma = 3.0;
sigma = rayleigh.sigma;
// returns 3.0
Returns the differential entropy.
var rayleigh = new Rayleigh( 4.0 );
var entropy = rayleigh.entropy;
// returns ~2.328
Returns the excess kurtosis.
var rayleigh = new Rayleigh( 4.0 );
var kurtosis = rayleigh.kurtosis;
// returns ~0.245
Returns the median.
var rayleigh = new Rayleigh( 4.0 );
var mu = rayleigh.mean;
// returns ~5.013
Returns the median.
var rayleigh = new Rayleigh( 4.0 );
var median = rayleigh.median;
// returns ~4.71
Returns the mode.
var rayleigh = new Rayleigh( 4.0 );
var mode = rayleigh.mode;
// returns 4.0
Returns the skewness.
var rayleigh = new Rayleigh( 4.0 );
var skewness = rayleigh.skewness;
// returns ~0.631
Returns the standard deviation.
var rayleigh = new Rayleigh( 4.0 );
var s = rayleigh.stdev;
// returns ~2.62
Returns the variance.
var rayleigh = new Rayleigh( 4.0 );
var s2 = rayleigh.variance;
// returns ~6.867
Evaluates the cumulative distribution function (CDF).
var rayleigh = new Rayleigh( 2.0 );
var y = rayleigh.cdf( 1.5 );
// returns ~0.245
Evaluates the natural logarithm of the cumulative distribution function (CDF).
var rayleigh = new Rayleigh( 2.0 );
var y = rayleigh.logcdf( 1.5 );
// returns ~-1.406
Evaluates the natural logarithm of the probability density function (PDF).
var rayleigh = new Rayleigh( 2.0 );
var y = rayleigh.logpdf( 0.8 );
// returns ~-1.689
Evaluates the moment-generating function (MGF).
var rayleigh = new Rayleigh( 2.0 );
var y = rayleigh.mgf( 0.5 );
// returns ~5.586
Evaluates the probability density function (PDF).
var rayleigh = new Rayleigh( 2.0 );
var y = rayleigh.pdf( 0.8 );
// returns ~0.185
Evaluates the quantile function at probability p
.
var rayleigh = new Rayleigh( 2.0 );
var y = rayleigh.quantile( 0.5 );
// returns ~2.355
y = rayleigh.quantile( 1.9 );
// returns NaN
<!DOCTYPE html>
<html lang="en">
<body>
<script type="text/javascript" src="https://cdn.jsdelivr.net/gh/stdlib-js/stats-base-dists-rayleigh-ctor@umd/browser.js"></script>
<script type="text/javascript">
(function () {
var rayleigh = new Rayleigh( 2.0, 4.0 );
var mu = rayleigh.mean;
// returns ~2.507
var mode = rayleigh.mode;
// returns 2.0
var s2 = rayleigh.variance;
// returns ~1.717
var y = rayleigh.cdf( 0.8 );
// returns ~0.077
})();
</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.
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