@stdlib/stats-base-dists-cosine-variance
v0.3.1TypeScript
Raised cosine distribution variance.
0/weekUpdated 3 days agoApache-2.0Unpacked: 44.4 KB
Published by The Stdlib Authors
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About stdlib...
Variance
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> [Raised cosine][cosine-distribution] distribution [variance][variance].
The [variance][variance] for a [raised cosine][cosine-distribution] random variable with location parameter mu and scale parameter s is
Installation
``bash`
npm install @stdlib/stats-base-dists-cosine-variance
Usage
`javascript`
var variance = require( '@stdlib/stats-base-dists-cosine-variance' );
#### variance( mu, s )
Returns the [variance][variance] for a [raised cosine][cosine-distribution] distribution with location parameter mu and scale parameter s.
`javascript
var y = variance( 2.0, 1.0 );
// returns ~0.131
y = variance( 0.0, 1.0 );
// returns ~0.131
y = variance( -1.0, 4.0 );
// returns ~2.091
`
If provided NaN as any argument, the function returns NaN.
`javascript
var y = variance( NaN, 1.0 );
// returns NaN
y = variance( 0.0, NaN );
// returns NaN
`
If provided s <= 0, the function returns NaN.
`javascript
var y = variance( 0.0, 0.0 );
// returns NaN
y = variance( 0.0, -1.0 );
// returns NaN
`
Examples
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var variance = require( '@stdlib/stats-base-dists-cosine-variance' );
var opts = {
'dtype': 'float64'
};
var mu = uniform( 10, -5.0, 5.0, opts );
var s = uniform( 10, 0.0, 20.0, opts );
logEachMap( 'µ: %0.4f, s: %0.4f, Var(X;µ,s): %0.4f', mu, s, variance );
`
*
C APIs
$3
`c`
#include "stdlib/stats/base/dists/cosine/variance.h"
#### stdlib_base_dists_cosine_variance( mu, s )
Returns the variance for a raised cosine distribution with location mu and scale s.
`c`
double out = stdlib_base_dists_cosine_variance( 0.0, 1.0 );
// returns ~0.131
The function accepts the following arguments:
- mu: [in] double location parameter.[in] double
- s: scale parameter.
`c`
double stdlib_base_dists_cosine_variance( const double mu, const double s );
$3
`c
#include "stdlib/stats/base/dists/cosine/variance.h"
#include
#include
static double random_uniform( const double min, const double max ) {
double v = (double)rand() / ( (double)RAND_MAX + 1.0 );
return min + ( v*(max-min) );
}
int main( void ) {
double mu;
double s;
double y;
int i;
for ( i = 0; i < 25; i++ ) {
mu = random_uniform( -5.0, 5.0 );
s = random_uniform( 0.0, 20.0 );
y = stdlib_base_dists_cosine_variance( mu, s );
printf( "µ: %lf, s: %lf, Var(X;µ,s): %lf\n", mu, s, y );
}
}
`
*
Notice
This package is part of [stdlib][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][stdlib], see the main project [repository][stdlib].
#### Community
[![Chat][chat-image]][chat-url]
---
License
See [LICENSE][stdlib-license].
Copyright
Copyright © 2016-2026. The Stdlib [Authors][stdlib-authors].
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[test-url]: https://github.com/stdlib-js/stats-base-dists-cosine-variance/actions/workflows/test.yml?query=branch:v0.3.1
[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-base-dists-cosine-variance/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-cosine-variance?branch=main
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[stdlib]: https://github.com/stdlib-js/stdlib
[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors
[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules
[deno-url]: https://github.com/stdlib-js/stats-base-dists-cosine-variance/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-cosine-variance/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-cosine-variance/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-cosine-variance/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-cosine-variance/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-cosine-variance/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-cosine-variance/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-cosine-variance/main/LICENSE
[cosine-distribution]: https://en.wikipedia.org/wiki/Raised_cosine_distribution
[variance]: https://en.wikipedia.org/wiki/Variance