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Logarithm of Probability Mass Function
Evaluate the natural logarithm of the probability mass function (PMF) for a degenerate distribution.
Usage
var logpmf = require( '@stdlib/stats/base/dists/degenerate/logpmf' );
logpmf( x, mu )
Evaluates the natural logarithm of the PMF for a degenerate distribution centered at mu
.
var y = logpmf( 2.0, 8.0 );
// returns -Infinity
y = logpmf( 8.0, 8.0 );
// returns 0.0
logpmf.factory( mu )
Returns a function for evaluating the natural logarithm of the PMF of a degenerate distribution centered at mu
.
var mylogpmf = logpmf.factory( 10.0 );
var y = mylogpmf( 10.0 );
// returns 0.0
y = mylogpmf( 5.0 );
// returns -Infinity
y = mylogpmf( 12.0 );
// returns -Infinity
Examples
var randu = require( '@stdlib/random/base/randu' );
var round = require( '@stdlib/math/base/special/round' );
var logpmf = require( '@stdlib/stats/base/dists/degenerate/logpmf' );
var mu;
var x;
var y;
var i;
for ( i = 0; i < 100; i++ ) {
x = round( randu()*5.0 );
mu = round( randu()*5.0 );
y = logpmf( x, mu );
console.log( 'x: %d, µ: %d, ln(P(X=x;µ)): %d', x, mu, y );
}