@stdlib/stats-base-dists-discrete-uniform-stdev
v0.2.1
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Discrete uniform distribution standard deviation.
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Standard Deviation
Discrete uniform distribution standard deviation.
The standard deviation for a discrete uniform random variable is
where a
is the minimum support and b
the maximum support of the distribution.
Installation
npm install @stdlib/stats-base-dists-discrete-uniform-stdev
Usage
var stdev = require( '@stdlib/stats-base-dists-discrete-uniform-stdev' );
stdev( a, b )
Returns the standard deviation of a discrete uniform distribution with parameters a
(minimum support) and b
(maximum support).
var v = stdev( 0, 1 );
// returns ~0.5
v = stdev( 4, 12 );
// returns ~2.582
v = stdev( -4, 4 );
// returns ~2.582
If a
or b
is not an integer value, the function returns NaN
.
var v = stdev( 0.1, 2 );
// returns NaN
v = stdev( 0, 2.2 );
// returns NaN
v = stdev( NaN, 2 );
// returns NaN
v = stdev( 2, NaN );
// returns NaN
If provided a > b
, the function returns NaN
.
var v = stdev( 3, 2 );
// returns NaN
v = stdev( -1, -2 );
// returns NaN
Examples
var randint = require( '@stdlib/random-base-discrete-uniform' );
var stdev = require( '@stdlib/stats-base-dists-discrete-uniform-stdev' );
var randa = randint.factory( 0, 10 );
var randb = randint.factory();
var a;
var b;
var v;
var i;
for ( i = 0; i < 10; i++ ) {
a = randa();
b = randb( a, a+randa() );
v = stdev( a, b );
console.log( 'a: %d, b: %d, SD(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.