@stdlib/stats-base-dists-logistic-kurtosis
v0.3.1TypeScript
Logistic distribution kurtosis.
0/weekUpdated 4 days agoApache-2.0Unpacked: 40.9 KB
Published by The Stdlib Authors
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About stdlib...
Kurtosis
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> [Logistic][logistic-distribution] distribution [excess kurtosis][kurtosis].
The [excess kurtosis][kurtosis] for a [logistic][logistic-distribution] random variable with location μ and scale s > 0 is
Installation
``bash`
npm install @stdlib/stats-base-dists-logistic-kurtosis
Usage
`javascript`
var kurtosis = require( '@stdlib/stats-base-dists-logistic-kurtosis' );
#### kurtosis( mu, s )
Returns the [excess kurtosis][kurtosis] for a [logistic][logistic-distribution] distribution with location parameter mu and scale parameter s.
`javascript
var y = kurtosis( 2.0, 1.0 );
// returns 1.2
y = kurtosis( 0.0, 1.0 );
// returns 1.2
y = kurtosis( -1.0, 4.0 );
// returns 1.2
`
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 s <= 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-logistic-kurtosis' );
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, Kurt(X;µ,s): %0.4f', mu, s, kurtosis );
`
*
C APIs
$3
`c`
#include "stdlib/stats/base/dists/logistic/kurtosis.h"
#### stdlib_base_dists_logistic_kurtosis( mu, s )
Returns the excess kurtosis for a logistic distribution with location mu and scale s.
`c`
double out = stdlib_base_dists_logistic_kurtosis( 0.0, 1.0 );
// returns 1.2
The function accepts the following arguments:
- mu: [in] double location parameter.[in] double
- s: scale parameter.
`c`
double stdlib_base_dists_logistic_kurtosis( const double mu, const double s );
$3
`c
#include "stdlib/stats/base/dists/logistic/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 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_logistic_kurtosis( mu, s );
printf( "µ: %lf, s: %lf, Kurt(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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[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-logistic-kurtosis/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-logistic-kurtosis/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-logistic-kurtosis/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-logistic-kurtosis/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-logistic-kurtosis/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-logistic-kurtosis/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-logistic-kurtosis/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-logistic-kurtosis/main/LICENSE
[logistic-distribution]: https://en.wikipedia.org/wiki/Logistic_distribution
[kurtosis]: https://en.wikipedia.org/wiki/Kurtosis