@stdlib/stats-base-dists-geometric-quantile
v0.3.1TypeScript
Geometric distribution quantile function.
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Published by The Stdlib Authors
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About stdlib...
Quantile Function
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> [Geometric][geometric-distribution] distribution [quantile function][quantile-function].
The [quantile function][quantile-function] for a [geometric][geometric-distribution] random variable is
for 0 < r < 1, where p is the success probability.
Installation
``bash`
npm install @stdlib/stats-base-dists-geometric-quantile
Usage
`javascript`
var quantile = require( '@stdlib/stats-base-dists-geometric-quantile' );
#### quantile( r, p )
Evaluates the [quantile function][quantile-function] for a [geometric][geometric-distribution] distribution with success probability p at a value r.
`javascript
var y = quantile( 0.8, 0.4 );
// returns 3
y = quantile( 0.5, 0.4 );
// returns 1
y = quantile( 0.9, 0.1 );
// returns 21
`
If provided an input probability r outside the interval [0,1], the function returns NaN.
`javascript
var y = quantile( 1.9, 0.5 );
// returns NaN
y = quantile( -0.1, 0.5 );
// returns NaN
`
If provided NaN as any argument, the function returns NaN.
`javascript
var y = quantile( NaN, 1.0 );
// returns NaN
y = quantile( 0.0, NaN );
// returns NaN
`
If provided a success probability p outside the interval [0,1], the function returns NaN.
`javascript
var y = quantile( 0.4, -1.0 );
// returns NaN
y = quantile( 0.4, 1.5 );
// returns NaN
`
#### quantile.factory( p )
Returns a function for evaluating the [quantile function][quantile-function] for a [geometric][geometric-distribution] distribution with success probability p.
`javascript
var myquantile = quantile.factory( 0.4 );
var y = myquantile( 0.4 );
// returns 0
y = myquantile( 0.8 );
// returns 3
y = myquantile( 1.0 );
// returns Infinity
`
Examples
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var quantile = require( '@stdlib/stats-base-dists-geometric-quantile' );
var opts = {
'dtype': 'float64'
};
var p = uniform( 10, 0.0, 1.0, opts );
var r = uniform( 10, 0.0, 1.0, opts );
logEachMap( 'r: %0.4f, p: %0.4f, Q(r;p): %0.4f', r, p, quantile );
`
*
C APIs
$3
`c`
#include "stdlib/stats/base/dists/geometric/quantile.h"
#### stdlib_base_dists_geometric_quantile( r, p )
Evaluates the [quantile function][quantile-function] for a [geometric][geometric-distribution] distribution with success probability p at a value r.
`c`
double out = stdlib_base_dists_geometric_quantile( 0.5, 0.4 );
// returns 1
The function accepts the following arguments:
- r: [in] double input probability.[in] double
- p: success probability.
`c`
double stdlib_base_dists_geometric_quantile( const double r, const double p );
$3
`c
#include "stdlib/stats/base/dists/geometric/quantile.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 r;
double y;
int i;
for ( i = 0; i < 25; i++ ) {
r = random_uniform( 0.0, 1.0 );
p = random_uniform( 0.0, 1.0 );
y = stdlib_base_dists_geometric_quantile( r, p );
printf( "r: %lf, p: %lf, Q(r;p): %lf\n", r, 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-quantile
[test-image]: https://github.com/stdlib-js/stats-base-dists-geometric-quantile/actions/workflows/test.yml/badge.svg?branch=v0.3.1
[test-url]: https://github.com/stdlib-js/stats-base-dists-geometric-quantile/actions/workflows/test.yml?query=branch:v0.3.1
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[coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-geometric-quantile?branch=main
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[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-quantile/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-geometric-quantile/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-geometric-quantile/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-geometric-quantile/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-geometric-quantile/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-geometric-quantile/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-geometric-quantile/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-geometric-quantile/main/LICENSE
[geometric-distribution]: https://en.wikipedia.org/wiki/Geometric_distribution
[quantile-function]: https://en.wikipedia.org/wiki/Quantile_function