Probability Mass Function

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The probability mass function of a discrete random variable is

Definition 3.55 (Probability Mass Function)

Let be a discrete random variable. The probability mass function of is defined by

Also called the distribution

For a discrete random variable taking values in a countable set , the collection with is also called simply the distribution of : knowing for every determines for all .

Discrete Random Variable
Discrete Probability Distribution
Probability Distribution Function
Probability Generating Function

Stated in

Definition 3.55 (Probability Mass Function)§3.6.1 Introduction

Also called the distribution

Related

Stated in