Basics of Probability and Stochastic Processes

Esra Bas*

*Corresponding author for this work

Research output: Book/ReportBookpeer-review

17 Citations (Scopus)

Abstract

This textbook explores probability and stochastic processes at a level that does not require any prior knowledge except basic calculus. It presents the fundamental concepts in a step-by-step manner, and offers remarks and warnings for deeper insights. The chapters include basic examples, which are revisited as the new concepts are introduced. To aid learning, figures and diagrams are used to help readers grasp the concepts, and the solutions to the exercises and problems. Further, a table format is also used where relevant for better comparison of the ideas and formulae. The first part of the book introduces readers to the essentials of probability, including combinatorial analysis, conditional probability, and discrete and continuous random variable. The second part then covers fundamental stochastic processes, including point, counting, renewal and regenerative processes, the Poisson process, Markov chains, queuing models and reliability theory. Primarily intended for undergraduate engineering students, it is also useful for graduate-level students wanting to refresh their knowledge of the basics of probability and stochastic processes.

Original languageEnglish
PublisherSpringer International Publishing
Number of pages307
ISBN (Electronic)9783030323233
ISBN (Print)9783030323226
DOIs
Publication statusPublished - 1 Jan 2019

Bibliographical note

Publisher Copyright:
© Springer Nature Switzerland AG 2019.

Keywords

  • Brownian motion
  • Continuous random variables
  • Discrete random variables
  • Markov chains
  • Poisson process
  • Queueing models
  • Random variables
  • Reliability theory
  • combinatorics
  • quality control, reliability, safety and risk

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