Entropy
Arcsine distribution differential entropy.
The differential entropy (in nats) for an arcsine random variable with minimum support a
and maximum support b
is
Usage
var entropy = require( '@stdlib/stats/base/dists/arcsine/entropy' );
entropy( a, b )
Returns the differential entropy of an arcsine distribution with minimum support a
and maximum support b
(in nats).
var v = entropy( 0.0, 1.0 );
// returns ~-0.242
v = entropy( 4.0, 12.0 );
// returns ~1.838
v = entropy( 2.0, 8.0 );
// returns ~1.55
If provided NaN
as any argument, the function returns NaN
.
var v = entropy( NaN, 2.0 );
// returns NaN
v = entropy( 2.0, NaN );
// returns NaN
If provided a >= b
, the function returns NaN
.
var y = entropy( 3.0, 2.0 );
// returns NaN
y = entropy( 3.0, 3.0 );
// returns NaN
Examples
var randu = require( '@stdlib/random/base/randu' );
var EPS = require( '@stdlib/constants/float64/eps' );
var entropy = require( '@stdlib/stats/base/dists/arcsine/entropy' );
var a;
var b;
var v;
var i;
for ( i = 0; i < 10; i++ ) {
a = ( randu()*10.0 );
b = ( randu()*10.0 ) + a + EPS;
v = entropy( a, b );
console.log( 'a: %d, b: %d, h(X;a,b): %d', a.toFixed( 4 ), b.toFixed( 4 ), v.toFixed( 4 ) );
}