Entropy
The entropy (in nats) for a Bernoulli random variable is
where p is the success probability and q = 1 - p.
Usage
var entropy = require( '@stdlib/stats/base/dists/bernoulli/entropy' );
entropy( p )
Returns the entropy of a Bernoulli distribution with success probability p (in nats).
var v = entropy( 0.1 );
// returns ~0.325
v = entropy( 0.5 );
// returns ~0.693
If provided a success probability p outside of [0,1], the function returns NaN.
var v = entropy( NaN );
// returns NaN
v = entropy( 1.5 );
// returns NaN
v = entropy( -1.0 );
// returns NaN
Examples
var randu = require( '@stdlib/random/base/randu' );
var round = require( '@stdlib/math/base/special/round' );
var entropy = require( '@stdlib/stats/base/dists/bernoulli/entropy' );
var v;
var i;
var p;
for ( i = 0; i < 10; i++ ) {
p = randu();
v = entropy( p );
console.log( 'p: %d, H(X;p): %d', p.toFixed( 4 ), v.toFixed( 4 ) );
}