Skewness

Discrete uniform distribution skewness.

The skewness for a discrete uniform random variable with minimum support a and maximum support b is

s k e w left-parenthesis upper X right-parenthesis equals 0

Usage

var skewness = require( '@stdlib/math/base/dists/discrete-uniform/skewness' );

skewness( a, b )

Returns the skewness of a discrete uniform distribution with parameters a (minimum support) and b (maximum support).

var v = skewness( 0, 1 );
// returns 0.0

v = skewness( 4, 12 );
// returns 0.0

v = skewness( 2, 8 );
// returns 0.0

If a or b is not an integer value, the function returns NaN.

var v = skewness( 0.1, 2 );
// returns NaN

v = skewness( 0, 2.2 );
// returns NaN

v = skewness( NaN, 2 );
// returns NaN

v = skewness( 2, NaN );
// returns NaN

If provided a > b, the function returns NaN.

var y = skewness( 3, 2 );
// returns NaN

y = skewness( -1, -2 );
// returns NaN

Examples

var randint = require( '@stdlib/random/base/discrete-uniform' );
var skewness = require( '@stdlib/math/base/dists/discrete-uniform/skewness' );

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 = skewness( a, b );
    console.log( 'a: %d, b: %d, skew(X;a,b): %d', a.toFixed( 4 ), b.toFixed( 4 ), v.toFixed( 4 ) );
}