@stdlib/stats-base-dists-rayleigh-entropy
v0.3.1TypeScript
Rayleigh distribution differential entropy.
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Published by The Stdlib Authors
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Entropy
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> [Rayleigh][rayleigh-distribution] distribution [differential entropy][entropy].
The [differential entropy][entropy] (in [nats][nats]) for a [Rayleigh][rayleigh-distribution] random variable is
where σ > 0 is the scale parameter.
Installation
``bash`
npm install @stdlib/stats-base-dists-rayleigh-entropy
Usage
`javascript`
var entropy = require( '@stdlib/stats-base-dists-rayleigh-entropy' );
#### entropy( sigma )
Returns the [differential entropy][entropy] of a [Rayleigh][rayleigh-distribution] distribution with scale sigma (in [nats][nats]).
`javascript
var y = entropy( 9.0 );
// returns ~3.139
y = entropy( 3.5 );
// returns ~2.195
`
If provided sigma < 0, the function returns NaN.
`javascript`
var y = entropy( -1.0 );
// returns NaN
Examples
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var entropy = require( '@stdlib/stats-base-dists-rayleigh-entropy' );
var opts = {
'dtype': 'float64'
};
var sigma = uniform( 10, 0.0, 20.0, opts );
logEachMap( 'σ: %0.4f, h(X;σ): %0.4f', sigma, entropy );
`
*
C APIs
$3
`c`
#include "stdlib/stats/base/dists/rayleigh/entropy.h"
#### stdlib_base_dists_rayleigh_entropy( sigma )
Returns the differential entropy of a Rayleigh distribution.
`c`
double out = stdlib_base_dists_rayleigh_entropy( 9.0 );
// returns ~3.139
The function accepts the following arguments:
- sigma: [in] double scale parameter.
`c`
double stdlib_base_dists_rayleigh_entropy( const double sigma );
$3
`c
#include "stdlib/stats/base/dists/rayleigh/entropy.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 sigma;
double y;
int i;
for ( i = 0; i < 25; i++ ) {
sigma = random_uniform( 0.0, 20.0 );
y = stdlib_base_dists_rayleigh_entropy( sigma );
printf( "σ: %lf, h(σ): %lf\n", sigma, 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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[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-rayleigh-entropy/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-rayleigh-entropy/blob/deno/README.md
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[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-rayleigh-entropy/main/LICENSE
[rayleigh-distribution]: https://en.wikipedia.org/wiki/Student%27s_t-distribution
[entropy]: https://en.wikipedia.org/wiki/Entropy_%28information_theory%29
[nats]: https://en.wikipedia.org/wiki/Nat_%28unit%29