@stdlib/stats-base-dists-arcsine-variance
v0.2.2
Published
Arcsine distribution variance.
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Variance
The variance for an arcsine random variable with minimum support a
and maximum support b
is
Installation
npm install @stdlib/stats-base-dists-arcsine-variance
Usage
var variance = require( '@stdlib/stats-base-dists-arcsine-variance' );
variance( a, b )
Returns the variance of an arcsine distribution with parameters a
(minimum support) and b
(maximum support).
var v = variance( 0.0, 1.0 );
// returns ~0.125
v = variance( 4.0, 12.0 );
// returns 8.0
v = variance( 2.0, 8.0 );
// returns ~4.5
If provided NaN
as any argument, the function returns NaN
.
var v = variance( NaN, 2.0 );
// returns NaN
v = variance( 2.0, NaN );
// returns NaN
If provided a >= b
, the function returns NaN
.
var v = variance( 3.0, 2.0 );
// returns NaN
v = variance( 3.0, 3.0 );
// returns NaN
Examples
var randu = require( '@stdlib/random-base-randu' );
var variance = require( '@stdlib/stats-base-dists-arcsine-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 ) );
}
Notice
This package is part of 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, see the main project repository.
Community
License
See LICENSE.
Copyright
Copyright © 2016-2024. The Stdlib Authors.