Stochastic Renewal Processes

Abstract

A stochastic process is essentially a spectrum of random variables indexed by the time. The stochastic renewal process is a stochastic process, which counts the number of renewals that a stochastic system incurs. This chapter introduces the stochastic renewal process, the stochastic renewal reward process, and the stochastic alternating renewal process. The results in this chapter are well known, so the references are not provided. In this chapter, the interarrival times and the rewards are assumed to have continuous probability distributions unless otherwise stated.