@stdlib/stats-base-dists-discrete-uniform-quantile
v0.3.1TypeScript
Discrete 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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> [Discrete uniform][discrete-uniform-distribution] distribution [quantile function][quantile-function].
The [quantile function][quantile-function] for a [discrete uniform][discrete-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-discrete-uniform-quantile
Usage
`javascript`
var quantile = require( '@stdlib/stats-base-dists-discrete-uniform-quantile' );
#### quantile( p, a, b )
Evaluates the [quantile function][quantile-function] for a [discrete uniform][discrete-uniform-distribution] distribution with parameters a (minimum support) and b (maximum support).
`javascript
var y = quantile( 0.8, 0, 1 );
// returns 1
y = quantile( 0.5, 0, 10 );
// returns 5
`
If provided a probability p outside the interval [0,1], the function returns NaN.
`javascript
var y = quantile( 1.9, 0, 2 );
// returns NaN
y = quantile( -0.1, 0, 2 );
// returns NaN
`
If a or b is not an integer value, the function returns NaN.
`javascript`
var y = quantile( 0.2, 1, 5.5 );
// returns NaN
If provided a > b, the function returns NaN.
`javascript`
var y = quantile( 0.4, 2, 1 );
// 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
`
#### quantile.factory( a, b )
Returns a function for evaluating the quantile function of a [discrete uniform][discrete-uniform-distribution] distribution with parameters a (minimum support) and b (maximum support).
`javascript
var myquantile = quantile.factory( 0, 4 );
var y = myquantile( 0.8 );
// returns 4
y = myquantile( 0.3 );
// returns 1
`
Examples
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var discreteUniform = require( '@stdlib/random-array-discrete-uniform' );
var quantile = require( '@stdlib/stats-base-dists-discrete-uniform-quantile' );
var p = uniform( 10, 0.0, 1.0 );
var a = discreteUniform( 10, 0, 5 );
var b = discreteUniform( 10, 2, 8 );
var v;
var i;
for ( i = 0; i < 10; i++ ) {
v = quantile( p[ i ], a[ i ], b[ i ] );
console.log( 'p: %d, a: %d, b: %d, Q(p;a,b): %d', p[ i ].toFixed( 4 ), a[ i ], b[ i ], v );
}
`
C APIs
$3
`c`
#include "stdlib/stats/base/dists/discrete-uniform/quantile.h"
#### stdlib_base_dists_discrete_uniform_quantile( x, a, b )
Evaluates the [quantile function][quantile-function] for a [discrete uniform][discrete-uniform-distribution] distribution with parameters a (minimum support) and b (maximum support).
`c`
double out = stdlib_base_dists_discrete_uniform_quantile( 0.8, 0, 1 );
// returns 1.0
The function accepts the following arguments:
- p: [in] double input probability.[in] int32_t
- a: minimum support.[in] int32_t
- b: maximum support.
`c`
double stdlib_base_dists_discrete_uniform_quantile( const double p, const int32_t a, const int32_t b );
$3
`c
#include "stdlib/stats/base/dists/discrete-uniform/quantile.h"
#include "stdlib/math/base/special/round.h"
#include
#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 ) {
int32_t a;
int32_t b;
double p;
double y;
int i;
for ( i = 0; i < 10; i++ ) {
p = random_uniform( 0.0, 1.0 );
a = stdlib_base_round( random_uniform( 0.0, 5.0 ) );
b = stdlib_base_round( random_uniform( a, a + 5.0 ) );
y = stdlib_base_dists_discrete_uniform_quantile( p, a, b );
printf( "p: %lf, a: %d, b: %d, 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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[discrete-uniform-distribution]: https://en.wikipedia.org/wiki/Discrete_uniform_distribution
[quantile-function]: https://en.wikipedia.org/wiki/Quantile_function