@stdlib/stats-base-dists-kumaraswamy-stdev
v0.3.1TypeScript
Kumaraswamy's double bounded distribution standard deviation.
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Published by The Stdlib Authors
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About stdlib...
Standard Deviation
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> [Kumaraswamy's double bounded][kumaraswamy-distribution] distribution [standard deviation][standard-deviation].
The [standard deviation][standard-deviation] for a [Kumaraswamy's double bounded][kumaraswamy-distribution] random variable with first shape parameter a and second shape parameter b is
where the raw moments of the distribution are given by
with B denoting the [beta function][beta-function].
Installation
``bash`
npm install @stdlib/stats-base-dists-kumaraswamy-stdev
Usage
`javascript`
var stdev = require( '@stdlib/stats-base-dists-kumaraswamy-stdev' );
#### stdev( a, b )
Returns the [standard deviation][standard-deviation] of a [Kumaraswamy's double bounded][kumaraswamy-distribution] distribution with first shape parameter a and second shape parameter b.
`javascript
var v = stdev( 1.0, 1.0 );
// returns ~0.289
v = stdev( 4.0, 12.0 );
// returns ~0.13
v = stdev( 2.0, 8.0 );
// returns ~0.146
`
If provided NaN as any argument, the function returns NaN.
`javascript
var v = stdev( NaN, 2.0 );
// returns NaN
v = stdev( 2.0, NaN );
// returns NaN
`
If provided a <= 0, the function returns NaN.
`javascript
var y = stdev( -1.0, 0.5 );
// returns NaN
y = stdev( 0.0, 0.5 );
// returns NaN
`
If provided b <= 0, the function returns NaN.
`javascript
var y = stdev( 0.5, -1.0 );
// returns NaN
y = stdev( 0.5, 0.0 );
// returns NaN
`
Examples
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var stdev = require( '@stdlib/stats-base-dists-kumaraswamy-stdev' );
var opts = {
'dtype': 'float64'
};
var a = uniform( 10, 0.0, 10.0, opts );
var b = uniform( 10, 0.0, 10.0, opts );
logEachMap( 'a: %0.4f, b: %0.4f, SD(X;a,b): %0.4f', a, b, stdev );
`
*
C APIs
$3
`c`
#include "stdlib/stats/base/dists/kumaraswamy/stdev.h"
#### stdlib_base_dists_kumaraswamy_stdev( a, b )
Returns the [standard deviation][standard-deviation] of a [Kumaraswamy's double bounded][kumaraswamy-distribution] distribution with first shape parameter a and second shape parameter b.
`c`
double v = stdlib_base_dists_kumaraswamy_stdev( 0.5, 1.0 );
// returns ~0.298
The function accepts the following arguments:
- a: [in] double first shape parameter.[in] double
- b: second shape parameter.
`c`
double stdlib_base_dists_kumaraswamy_stdev( const double a, const double b );
$3
`c
#include "stdlib/stats/base/dists/kumaraswamy/stdev.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( 0.1, 20.0 );
b = random_uniform( 0.1, 20.0 );
y = stdlib_base_dists_kumaraswamy_stdev( a, b );
printf( "a: %lf, b: %lf, SD(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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[stdlib]: https://github.com/stdlib-js/stdlib
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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-kumaraswamy-stdev/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-kumaraswamy-stdev/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-kumaraswamy-stdev/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-kumaraswamy-stdev/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-kumaraswamy-stdev/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-kumaraswamy-stdev/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-kumaraswamy-stdev/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-kumaraswamy-stdev/main/LICENSE
[beta-function]: https://en.wikipedia.org/wiki/Beta_function
[kumaraswamy-distribution]: https://en.wikipedia.org/wiki/Kumaraswamy_distribution
[standard-deviation]: https://en.wikipedia.org/wiki/Standard_deviation