@stdlib/stats-base-dists-geometric-kurtosis
v0.3.1TypeScript
Geometric distribution excess kurtosis.
0/weekUpdated 3 days agoApache-2.0Unpacked: 42.1 KB
Published by The Stdlib Authors
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About stdlib...
Kurtosis
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> [Geometric][geometric-distribution] distribution [excess kurtosis][kurtosis].
The [excess kurtosis][kurtosis] for a [geometric][geometric-distribution] random variable is
where p is the success probability.
Installation
``bash`
npm install @stdlib/stats-base-dists-geometric-kurtosis
Usage
`javascript`
var kurtosis = require( '@stdlib/stats-base-dists-geometric-kurtosis' );
#### kurtosis( p )
Returns the [excess kurtosis][kurtosis] of a [geometric][geometric-distribution] distribution with success probability p.
`javascript
var v = kurtosis( 0.1 );
// returns ~6.011
v = kurtosis( 0.5 );
// returns 6.5
`
If provided a success probability p outside of [0,1], the function returns NaN.
`javascript
var v = kurtosis( NaN );
// returns NaN
v = kurtosis( 1.5 );
// returns NaN
v = kurtosis( -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-geometric-kurtosis' );
var opts = {
'dtype': 'float64'
};
var p = uniform( 10, 0.0, 1.0, opts );
logEachMap( 'p: %0.4f, Kurt(X;p): %0.4f', p, kurtosis );
`
*
C APIs
$3
`c`
#include "stdlib/stats/base/dists/geometric/kurtosis.h"
#### stdlib_base_dists_geometric_kurtosis( p )
Returns the [excess kurtosis][kurtosis] of a [geometric][geometric-distribution] distribution with success probability p.
`c`
double out = stdlib_base_dists_geometric_kurtosis( 0.5 );
// returns 6.5
The function accepts the following arguments:
- p: [in] double success probability.
`c`
double stdlib_base_dists_geometric_kurtosis( const double p );
$3
`c
#include "stdlib/stats/base/dists/geometric/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 p;
double y;
int i;
for ( i = 0; i < 25; i++ ) {
p = random_uniform( 0.0, 1.0 );
y = stdlib_base_dists_geometric_kurtosis( p );
printf( "p: %lf, Kurt(X;p): %lf\n", p, 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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[npm-url]: https://npmjs.org/package/@stdlib/stats-base-dists-geometric-kurtosis
[test-image]: https://github.com/stdlib-js/stats-base-dists-geometric-kurtosis/actions/workflows/test.yml/badge.svg?branch=v0.3.1
[test-url]: https://github.com/stdlib-js/stats-base-dists-geometric-kurtosis/actions/workflows/test.yml?query=branch:v0.3.1
[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-base-dists-geometric-kurtosis/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-geometric-kurtosis?branch=main
[chat-image]: https://img.shields.io/badge/zulip-join_chat-brightgreen.svg
[chat-url]: https://stdlib.zulipchat.com
[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-geometric-kurtosis/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-geometric-kurtosis/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-geometric-kurtosis/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-geometric-kurtosis/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-geometric-kurtosis/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-geometric-kurtosis/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-geometric-kurtosis/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-geometric-kurtosis/main/LICENSE
[geometric-distribution]: https://en.wikipedia.org/wiki/Geometric_distribution
[kurtosis]: https://en.wikipedia.org/wiki/Kurtosis