@stdlib/stats-base-dists-arcsine-stdev
v0.3.1TypeScript
Arcsine distribution standard deviation.
0/weekUpdated 1 weeks agoApache-2.0Unpacked: 40.5 KB
Published by The Stdlib Authors
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About stdlib...
Standard Deviation
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> [Arcsine][arcsine-distribution] distribution [standard deviation][stdev].
The [standard deviation][stdev] for an [arcsine][arcsine-distribution] random variable with minimum support a and maximum support b is
Installation
``bash`
npm install @stdlib/stats-base-dists-arcsine-stdev
Usage
`javascript`
var stdev = require( '@stdlib/stats-base-dists-arcsine-stdev' );
#### stdev( a, b )
Returns the [standard deviation][stdev] of an [arcsine][arcsine-distribution] distribution with parameters a (minimum support) and b (maximum support).
`javascript
var v = stdev( 0.0, 1.0 );
// returns ~0.354
v = stdev( 4.0, 12.0 );
// returns ~2.828
v = stdev( 2.0, 8.0 );
// returns ~2.121
`
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 >= b, the function returns NaN.
`javascript
var v = stdev( 3.0, 2.0 );
// returns NaN
v = stdev( 3.0, 3.0 );
// 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-arcsine-stdev' );
var opts = {
'dtype': 'float64'
};
var a = uniform( 25, 0.0, 10.0, opts );
var b = uniform( a.length, 10.0, 20.0, 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/arcsine/stdev.h"
#### stdlib_base_dists_arcsine_stdev( a, b )
Returns the [standard deviation][stdev] of an [arcsine][arcsine-distribution] distribution with parameters a (minimum support) and b (maximum support).
`c`
double out = stdlib_base_dists_arcsine_stdev( 4.0, 12.0 );
// returns ~2.828
The function accepts the following arguments:
- a: [in] double minimum support.[in] double
- b: maximum support.
`c`
double stdlib_base_dists_arcsine_stdev( const double a, const double b );
$3
`c
#include "stdlib/stats/base/dists/arcsine/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 s;
int i;
for ( i = 0; i < 10; i++ ) {
a = random_uniform( 0.0, 10.0 );
b = random_uniform( a, a + 10.0 );
s = stdlib_base_dists_arcsine_stdev( a, b );
printf( "a: %lf, b: %lf, SD(X;a,b): %lf\n", a, b, s );
}
}
`
*
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-arcsine-stdev/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-arcsine-stdev/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-arcsine-stdev/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-arcsine-stdev/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-arcsine-stdev/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-arcsine-stdev/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-arcsine-stdev/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-arcsine-stdev/main/LICENSE
[arcsine-distribution]: https://en.wikipedia.org/wiki/Arcsine_distribution
[stdev]: https://en.wikipedia.org/wiki/Standard_deviation