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Understanding Markov Chains

Examples and Applications. Springer Undergraduate Mathematics Series

By (author) Nicolas Privault
Format: Paperback / softback
Publisher: Springer Verlag, Singapore, Singapore, Singapore
Published: 15th Aug 2018
Dimensions: w 153mm h 229mm d 34mm
Weight: 585g
ISBN-10: 9811306583
ISBN-13: 9789811306587
Barcode No: 9789811306587
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Synopsis
This book provides an undergraduate-level introduction to discrete and continuous-time Markov chains and their applications, with a particular focus on the first step analysis technique and its applications to average hitting times and ruin probabilities. It also discusses classical topics such as recurrence and transience, stationary and limiting distributions, as well as branching processes. It first examines in detail two important examples (gambling processes and random walks) before presenting the general theory itself in the subsequent chapters. It also provides an introduction to discrete-time martingales and their relation to ruin probabilities and mean exit times, together with a chapter on spatial Poisson processes. The concepts presented are illustrated by examples, 138 exercises and 9 problems with their solutions.

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