Stochastic Processes

Research output: Chapter in Book/Report/Conference proceedingChapter


Stochastic processes are used for the description of a systems operation over time. There are two main types of stochastic processes: continuous and discrete. The complex continuous process is a process describing a system transition from state to state. The simplest process that will be discussed here is a Markov process. Given the current state of the process, its future behavior does not depend on the past. This chapter describes the concepts of stochastic processes including Markov process, Poisson process, renewal process, quasi-renewal process, and nonhomogeneous Poisson process, and their applications in reliability and availability for degraded systems with repairable components.

Original languageEnglish (US)
Title of host publicationSpringer Series in Reliability Engineering
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages53
StatePublished - 2022

Publication series

NameSpringer Series in Reliability Engineering
ISSN (Print)1614-7839
ISSN (Electronic)2196-999X

All Science Journal Classification (ASJC) codes

  • Safety, Risk, Reliability and Quality


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