Delayed and Network Queues

Chapter 2Stochastic Processes

2.1 Introduction and Basic Definitions

Recall from Chapter 1 that a random variable was defined as a function on the sample space , as part of the probability space . In this chapter, let be a set (countable, denumerable, or an interval), in particular, a subset of the real line , that is, the interval or the nonnegative part of the real line, that is, . Let be a random variable, where . t is referred to as a parameter, index, time, or an epoch. The set is called the parameter space or the index set.

A sequence of real numbers is called a point process if ...