Entropy
Logistic distribution differential entropy.
The differential entropy (in nats) for a logistic random variable with location μ
and scale s > 0
is
Usage
var entropy = require( '@stdlib/stats/base/dists/logistic/entropy' );
entropy( mu, s )
Returns the differential entropy for a logistic distribution with location parameter mu
and scale parameter s
(in nats).
var y = entropy( 2.0, 1.0 );
// returns 2.0
y = entropy( 0.0, 1.0 );
// returns 2.0
y = entropy( -1.0, 4.0 );
// returns ~3.386
If provided NaN
as any argument, the function returns NaN
.
var y = entropy( NaN, 1.0 );
// returns NaN
y = entropy( 0.0, NaN );
// returns NaN
If provided s <= 0
, the function returns NaN
.
var y = entropy( 0.0, 0.0 );
// returns NaN
y = entropy( 0.0, -1.0 );
// returns NaN
Examples
var randu = require( '@stdlib/random/base/randu' );
var entropy = require( '@stdlib/stats/base/dists/logistic/entropy' );
var mu;
var s;
var y;
var i;
for ( i = 0; i < 10; i++ ) {
mu = ( randu()*10.0 ) - 5.0;
s = randu() * 20.0;
y = entropy( mu, s );
console.log( 'µ: %d, s: %d, h(X;µ,s): %d', mu.toFixed( 4 ), s.toFixed( 4 ), y.toFixed( 4 ) );
}