@stdlib/stats-base-dists-uniform-quantile
v0.3.1TypeScript
Uniform distribution quantile function.
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Published by The Stdlib Authors
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About stdlib...
Quantile Function
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> [Uniform][uniform-distribution] distribution [quantile function][quantile-function].
The [quantile function][quantile-function] for a [continuous uniform][uniform-distribution] random variable is
for 0 <= p <= 1, where a is the minimum support and b is the maximum support. The parameters must satisfy a < b.
Installation
``bash`
npm install @stdlib/stats-base-dists-uniform-quantile
Usage
`javascript`
var quantile = require( '@stdlib/stats-base-dists-uniform-quantile' );
#### quantile( p, a, b )
Evaluates the [quantile function][quantile-function] for a [continuous uniform][uniform-distribution] distribution with parameters a (minimum support) and b (maximum support).
`javascript
var y = quantile( 0.8, 0.0, 1.0 );
// returns 0.8
y = quantile( 0.5, 0.0, 10.0 );
// returns 5.0
`
If provided a probability p outside the interval [0,1], the function returns NaN.
`javascript
var y = quantile( 1.9, 0.0, 1.0 );
// returns NaN
y = quantile( -0.1, 0.0, 1.0 );
// returns NaN
`
If provided NaN as any argument, the function returns NaN.
`javascript
var y = quantile( NaN, 0.0, 1.0 );
// returns NaN
y = quantile( 0.0, NaN, 1.0 );
// returns NaN
y = quantile( 0.0, 0.0, NaN );
// returns NaN
`
If provided a >= b, the function returns NaN.
`javascript`
var y = quantile( 0.4, 2.0, 1.0 );
// returns NaN
#### quantile.factory( a, b )
Returns a function for evaluating the quantile function of a [continuous uniform][uniform-distribution] distribution with parameters a (minimum support) and b (maximum support).
`javascript`
var myquantile = quantile.factory( 0.0, 4.0 );
var y = myquantile( 0.8 );
// returns 3.2
Examples
`javascript
var randu = require( '@stdlib/random-base-randu' );
var quantile = require( '@stdlib/stats-base-dists-uniform-quantile' );
var a;
var b;
var p;
var y;
var i;
for ( i = 0; i < 25; i++ ) {
p = randu();
a = (randu() * 20.0) - 20.0;
b = a + (randu() * 40.0);
y = quantile( p, a, b );
console.log( 'p: %d, a: %d, b: %d, Q(p;a,b): %d', p.toFixed( 4 ), a.toFixed( 4 ), b.toFixed( 4 ), y.toFixed( 4 ) );
}
`
*
C APIs
$3
`c`
#include "stdlib/stats/base/dists/uniform/quantile.h"
#### stdlib_base_dists_uniform_quantile( p, a, b )
Evaluates the [quantile-function][quantile-function] function for a [continuous uniform][uniform-distribution] distribution with minimum support a and maximum support b at a probability p.
`c`
double out = stdlib_base_dists_uniform_quantile( 0.8, 0.0, 1.0 );
// returns 0.8
The function accepts the following arguments:
- x: [in] double input value.[in] double
- a: minimum support.[in] double
- b: maximum support.
`c`
double stdlib_base_dists_uniform_quantile( const double p, const double a, const double b );
$3
`c
#include "stdlib/stats/base/dists/uniform/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 a;
double b;
double p;
double y;
int i;
for ( i = 0; i < 25; i++ ) {
p = random_uniform( 0.0, 1.0 );
a = random_uniform( -20.0, 0.0 );
b = random_uniform( a, a+40.0 );
y = stdlib_base_dists_uniform_quantile( p, a, b );
printf( "p: %lf, a: %lf, b: %lf, Q(p;a,b): %lf\n", p, a, b, 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-uniform-quantile/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-uniform-quantile/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-uniform-quantile/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-uniform-quantile/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-uniform-quantile/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-uniform-quantile/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-uniform-quantile/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-uniform-quantile/main/LICENSE
[uniform-distribution]: https://en.wikipedia.org/wiki/Uniform_distribution_%28continuous%29
[quantile-function]: https://en.wikipedia.org/wiki/Quantile_function