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Mathematics - Probability Theory and Stochastic Processes | Probability Models

Probability Models

Haigh, John

2nd ed. 2013, XII, 287 p. 17 illus.

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  • Very suitable for self-study
  • Provides many worked examples and exercises
  • Suitable for beginners; no prior knowledge of probability is needed

The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability, such as that of a dice or cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise.

Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. This popular second edition textbook contains many worked examples and several chapters have been updated and expanded.

Some mathematical knowledge is assumed. The reader should have the ability to work with unions, intersections and complements of sets; a good facility with calculus, including integration, sequences and series; and appreciation of the logical development of an argument.

Probability Models is designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics.

Content Level » Lower undergraduate

Keywords » Distributions - Markov Processes - Probability - Random Variables - Stochastic Processes

Related subjects » Operations Research & Decision Theory - Probability Theory and Stochastic Processes - Theoretical Computer Science

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