@stdlib/stats-base-dists-gumbel-mean
v0.3.1TypeScript
Gumbel distribution mean.
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Published by The Stdlib Authors
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About stdlib...
Mean
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> [Gumbel][gumbel-distribution] distribution [expected value][mean].
The [mean][mean] for a [Gumbel][gumbel-distribution] random variable with location μ and scale β is
where γ is the [Euler–Mascheroni constant][euler-mascheroni].
Installation
``bash`
npm install @stdlib/stats-base-dists-gumbel-mean
Usage
`javascript`
var mean = require( '@stdlib/stats-base-dists-gumbel-mean' );
#### mean( mu, beta )
Returns the [expected value][mean] for a [Gumbel][gumbel-distribution] distribution with location parameter mu and scale parameter beta.
`javascript
var y = mean( 2.0, 1.0 );
// returns ~2.577
y = mean( 0.0, 1.0 );
// returns ~0.577
y = mean( -1.0, 4.0 );
// returns ~1.309
`
If provided NaN as any argument, the function returns NaN.
`javascript
var y = mean( NaN, 1.0 );
// returns NaN
y = mean( 0.0, NaN );
// returns NaN
`
If provided beta <= 0, the function returns NaN.
`javascript
var y = mean( 0.0, 0.0 );
// returns NaN
y = mean( 0.0, -1.0 );
// returns NaN
`
Examples
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var mean = require( '@stdlib/stats-base-dists-gumbel-mean' );
var opts = {
'dtype': 'float64'
};
var beta = uniform( 10, 0.0, 20.0, opts );
var mu = uniform( 10, -5.0, 5.0, opts );
logEachMap( 'µ: %0.4f, β: %0.4f, E(X;µ,β): %0.4f', mu, beta, mean );
`
*
C APIs
$3
`c`
#include "stdlib/stats/base/dists/gumbel/mean.h"
#### stdlib_base_dists_gumbel_mean( mu, beta )
Returns the [expected value][mean] for a [Gumbel][gumbel-distribution] distribution with location parameter mu and scale parameter beta.
`c`
double out = stdlib_base_dists_gumbel_mean( 0.0, 1.0 );
// returns ~0.577
The function accepts the following arguments:
- mu: [in] double location parameter.[in] double
- beta: scale parameter.
`c`
double stdlib_base_dists_gumbel_mean( const double mu, const double beta );
$3
`c
#include "stdlib/stats/base/dists/gumbel/mean.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 beta;
double mu;
double y;
int i;
for ( i = 0; i < 25; i++ ) {
mu = random_uniform( 0.0, 10.0 );
beta = random_uniform( 0.0, 10.0 );
y = stdlib_base_dists_gumbel_mean( mu, beta );
printf( "µ: %lf, β: %lf, E(X;µ,β): %lf\n", mu, beta, 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-gumbel-mean/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-gumbel-mean/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-gumbel-mean/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-gumbel-mean/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-gumbel-mean/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-gumbel-mean/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-gumbel-mean/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-gumbel-mean/main/LICENSE
[euler-mascheroni]: https://en.wikipedia.org/wiki/Euler%E2%80%93Mascheroni_constant
[gumbel-distribution]: https://en.wikipedia.org/wiki/Gumbel_distribution
[mean]: https://en.wikipedia.org/wiki/Mean