- Includes numerous figures and diagrams to aid comprehension of the basic concepts, examples and problems
- Features introductory examples, which are revisited as the new concepts are presented
- Provides step-by-step solutions to all exercises and problems
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- About this Textbook
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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.
- About the authors
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Esra Bas is professor of Industrial Engineering at Istanbul Technical University, Turkey.
- Table of contents (18 chapters)
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Combinatorial Analysis
Pages 3-14
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Basic Concepts, Axioms and Operations in Probability
Pages 15-26
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Conditional Probability, Bayes’ Formula, Independent Events
Pages 27-38
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Introduction to Random Variables
Pages 39-53
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Discrete Random Variables
Pages 55-69
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Table of contents (18 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Basics of Probability and Stochastic Processes
- Authors
-
- Esra Bas
- Copyright
- 2019
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-32323-3
- DOI
- 10.1007/978-3-030-32323-3
- Hardcover ISBN
- 978-3-030-32322-6
- Softcover ISBN
- 978-3-030-32325-7
- Edition Number
- 1
- Number of Pages
- IX, 307
- Topics