Understanding Markov chains : examples and applications /
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Author / Creator: | Privault, Nicolas, author. |
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Edition: | Second edition. |
Imprint: | Singapore : Springer, 2018. |
Description: | 1 online resource (xvii, 372 pages) : illustrations |
Language: | English |
Series: | Springer undergraduate mathematics series, 1615-2085 Springer undergraduate mathematics series, |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11690117 |
ISBN: | 9789811306594 9811306591 9811306583 9789811306587 9789811306600 9811306605 9789811306587 |
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Digital file characteristics: | text file PDF |
Notes: | Includes bibliographical references and indexes. Online resource; title from PDF title page (SpringerLink, viewed August 8, 2018). |
Summary: | 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.-- |
Other form: | Printed edition: 9789811306587 Printed edition: 9789811306600 |
Standard no.: | 10.1007/978-981-13-0659-4 10.1007/978-981-13-0 |
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