@stdlib/stats-base-dists-normal-kurtosis
v0.3.1TypeScript
Normal distribution excess kurtosis.
0/weekUpdated 4 days agoApache-2.0Unpacked: 39.9 KB
Published by The Stdlib Authors
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About stdlib...
Kurtosis
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> [Normal][normal-distribution] distribution [excess kurtosis][kurtosis].
The [excess kurtosis][kurtosis] for a [normal][normal-distribution] random variable with mean μ and standard deviation σ > 0 is
Installation
``bash`
npm install @stdlib/stats-base-dists-normal-kurtosis
Usage
`javascript`
var kurtosis = require( '@stdlib/stats-base-dists-normal-kurtosis' );
#### kurtosis( mu, sigma )
Returns the [excess kurtosis][kurtosis] for a [normal][normal-distribution] distribution with parameters mu (mean) and sigma (standard deviation).
`javascript
var y = kurtosis( 2.0, 1.0 );
// returns 0.0
y = kurtosis( -1.0, 4.0 );
// returns 0.0
`
If provided NaN as any argument, the function returns NaN.
`javascript
var y = kurtosis( NaN, 1.0 );
// returns NaN
y = kurtosis( 0.0, NaN );
// returns NaN
`
If provided sigma <= 0, the function returns NaN.
`javascript
var y = kurtosis( 0.0, 0.0 );
// returns NaN
y = kurtosis( 0.0, -1.0 );
// returns NaN
`
Examples
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var kurtosis = require( '@stdlib/stats-base-dists-normal-kurtosis' );
var opts = {
'dtype': 'float64'
};
var sigma = uniform( 10, 0.0, 20.0, opts );
var mu = uniform( 10, -5.0, 5.0, opts );
logEachMap( 'µ: %0.4f, σ: %0.4f, Kurt(X;µ,σ): %0.4f', mu, sigma, kurtosis );
`
*
C APIs
$3
`c`
#include "stdlib/stats/base/dists/normal/kurtosis.h"
#### stdlib_base_dists_normal_kurtosis( mu, sigma )
Returns the [excess kurtosis][kurtosis] for a [normal][normal-distribution] distribution with parameters mu (mean) and sigma (standard deviation).
`c`
double out = stdlib_base_dists_normal_kurtosis( 0.0, 1.0 );
// returns 0.0
The function accepts the following arguments:
- mu: [in] double mean.[in] double
- sigma: standard deviation.
`c`
double stdlib_base_dists_normal_kurtosis( const double mu, const double sigma );
$3
`c
#include "stdlib/stats/base/dists/normal/kurtosis.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 mu;
double y;
int i;
for ( i = 0; i < 10; i++ ) {
mu = random_uniform( -5.0, 5.0 );
sigma = random_uniform( 0.0, 20.0 );
y = stdlib_base_dists_normal_kurtosis( mu, sigma );
printf( "µ: %.4f, σ: %.4f, Kurt(X;µ,σ): %.4f\n", mu, 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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[test-url]: https://github.com/stdlib-js/stats-base-dists-normal-kurtosis/actions/workflows/test.yml?query=branch:v0.3.1
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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-normal-kurtosis/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-normal-kurtosis/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-normal-kurtosis/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-normal-kurtosis/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-normal-kurtosis/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-normal-kurtosis/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-normal-kurtosis/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-normal-kurtosis/main/LICENSE
[normal-distribution]: https://en.wikipedia.org/wiki/Normal_distribution
[kurtosis]: https://en.wikipedia.org/wiki/Kurtosis