dev.nm.stat.distribution.discrete

Interface ProbabilityMassFunction<X>

Type Parameters:

X - the discrete random variable (domain) type

All Superinterfaces:

Iterable<ProbabilityMassFunction.Mass<X>>

public interface ProbabilityMassFunction<X>
extends Iterable<ProbabilityMassFunction.Mass<X>>

A probability mass function (pmf) is a function that gives the probability that a discrete random variable is exactly equal to some value. Suppose that X: S → R is a discrete random variable defined on a sample space S. The probability mass function \(f_{X}: R \to [0, 1]\) for X is defined as \[ f_{X}(x) = Pr(X = x) = Pr(\{s \in S : X(s) = x\}) \]

See Also:

Wikipedia: Probability mass function

Nested Class Summary

Nested Classes

Modifier and Type	Interface and Description
static class	ProbabilityMassFunction.Mass<X> Stores a possible outcome for a probability distribution and its associated probability.

Method Summary

Modifier and Type	Method and Description
double	evaluate(X x) Compute the probability mass for a discrete realization x.

Methods inherited from interface java.lang.Iterable

forEach, iterator, spliterator

Method Detail

evaluate

double evaluate(X x)

Compute the probability mass for a discrete realization x.

Parameters:

x - a realization

Returns:

pmf(x)