@stdlib/stats-base-dists-cosine-cdf

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Cumulative Distribution Function

Raised cosine distribution cumulative distribution function.

The cumulative distribution function 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-cdf

Usage

var cdf = require( '@stdlib/stats-base-dists-cosine-cdf' );

cdf( x, mu, s )

Evaluates the cumulative distribution function (CDF) for a raised cosine distribution with parameters mu (location parameter) and s (scale parameter).

var y = cdf( 2.0, 0.0, 3.0 );
// returns ~0.971

y = cdf( 0.0, 0.0, 1.0 );
// returns ~0.5

y = cdf( -1.0, 4.0, 2.0 );
// returns 0.0

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 raised cosine 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 0.0

y = mycdf( 12.0 );
// returns 1.0

Examples

var randu = require( '@stdlib/random-base-randu' );
var cdf = require( '@stdlib/stats-base-dists-cosine-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 );
}

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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

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License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.

Changelog

0.2.2 (2024-07-28)

<section class="commits">

Commits

<details>

• 659f752 - style: add missing spaces (by Philipp Burckhardt)
• 41d41e9 - test: include trailing newlines in Julia-generated JSON fixtures (by Philipp Burckhardt)
• 9ed7d0e - chore: add missing trailing newlines (by Philipp Burckhardt)

</details> </section> <!-- /.commits --> <section class="contributors">

Contributors

A total of 1 person contributed to this release. Thank you to this contributor:

• Philipp Burckhardt

</section> <!-- /.contributors --> </section> <!-- /.release --> <section class="release" id="v0.2.1">