@stdlib/stats-base-dists-cosine-pdf
v0.2.2
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Raised cosine distribution probability density function (PDF).
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Probability Density Function
Raised cosine distribution probability density function (PDF).
The probability density function (PDF) for a raised cosine random variable is
where μ
is the location parameter and s > 0
is the scale parameter.
Installation
npm install @stdlib/stats-base-dists-cosine-pdf
Usage
var pdf = require( '@stdlib/stats-base-dists-cosine-pdf' );
pdf( x, mu, s )
Evaluates the probability density function (PDF) for a raised cosine distribution with parameters mu
(location parameter) and s
(scale parameter).
var y = pdf( 2.0, 0.0, 3.0 );
// returns ~0.083
y = pdf( 2.0, 4.0, 4.0 );
// returns ~0.125
If provided NaN
as any argument, the function returns NaN
.
var y = pdf( NaN, 0.0, 1.0 );
// returns NaN
y = pdf( 0.0, NaN, 1.0 );
// returns NaN
y = pdf( 0.0, 0.0, NaN );
// returns NaN
If provided s < 0
, the function returns NaN
.
var y = pdf( 2.0, 0.0, -1.0 );
// returns NaN
If provided s = 0
, the function evaluates the PDF of a degenerate distribution centered at mu
.
var y = pdf( 2.0, 8.0, 0.0 );
// returns 0.0
y = pdf( 8.0, 8.0, 0.0 );
// returns Infinity
pdf.factory( mu, s )
Returns a function for evaluating the probability density function (PDF) of a raised cosine distribution with parameters mu
(location parameter) and s
(scale parameter).
var mypdf = pdf.factory( 0.0, 3.0 );
var y = mypdf( 2.0 );
// returns ~0.083
y = mypdf( 5.0 );
// returns 0.0
Examples
var randu = require( '@stdlib/random-base-randu' );
var pdf = require( '@stdlib/stats-base-dists-cosine-pdf' );
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 = pdf( 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.