@stdlib/stats-base-dists-uniform-variance
v0.3.1TypeScript
Uniform distribution variance.
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Published by The Stdlib Authors
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About stdlib...
Variance
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> [Uniform][uniform-distribution] distribution [variance][variance].
The [variance][variance] for a [uniform][uniform-distribution] random variable is
where a is the minimum support and b the maximum support of the distribution.
Installation
``bash`
npm install @stdlib/stats-base-dists-uniform-variance
Usage
`javascript`
var variance = require( '@stdlib/stats-base-dists-uniform-variance' );
#### variance( a, b )
Returns the [variance][variance] of a [uniform][uniform-distribution] distribution with parameters a (minimum support) and b (maximum support).
`javascript
var v = variance( 0.0, 1.0 );
// returns ~0.083
v = variance( 4.0, 12.0 );
// returns ~5.333
v = variance( 2.0, 8.0 );
// returns 3.0
`
If provided NaN as any argument, the function returns NaN.
`javascript
var v = variance( NaN, 2.0 );
// returns NaN
v = variance( 2.0, NaN );
// returns NaN
`
If provided a >= b, the function returns NaN.
`javascript
var y = variance( 3.0, 2.0 );
// returns NaN
y = variance( 3.0, 3.0 );
// returns NaN
`
Examples
`javascript
var randu = require( '@stdlib/random-base-randu' );
var variance = require( '@stdlib/stats-base-dists-uniform-variance' );
var a;
var b;
var v;
var i;
for ( i = 0; i < 10; i++ ) {
a = ( randu()*10.0 );
b = ( randu()*10.0 ) + a;
v = variance( a, b );
console.log( 'a: %d, b: %d, Var(X;a,b): %d', a.toFixed( 4 ), b.toFixed( 4 ), v.toFixed( 4 ) );
}
`
*
C APIs
$3
`c`
#include "stdlib/stats/base/dists/uniform/variance.h"
#### stdlib_base_dists_uniform_variance( a, b )
Returns the variance of a uniform distribution.
`c`
double out = stdlib_base_dists_uniform_variance( 0.0, 1.0 );
// returns ~0.083
The function accepts the following arguments:
- a: [in] double minimum support.[in] double
- b: maximum support.
`c`
double stdlib_base_dists_uniform_variance( const double a, const double b );
$3
`c
#include "stdlib/stats/base/dists/uniform/variance.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 y;
int i;
for ( i = 0; i < 25; i++ ) {
a = random_uniform( 0.0, 20.0 );
b = random_uniform( a, a+20.0 );
y = stdlib_base_dists_uniform_variance( a, b );
printf( "a: %lf, b: %lf, Var(X;a,b): %lf\n", 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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[coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-uniform-variance?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-uniform-variance/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-uniform-variance/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-uniform-variance/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-uniform-variance/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-uniform-variance/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-uniform-variance/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-uniform-variance/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-uniform-variance/main/LICENSE
[uniform-distribution]: https://en.wikipedia.org/wiki/Uniform_distribution_%28continuous%29
[variance]: https://en.wikipedia.org/wiki/Variance