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Viser: Understanding Markov Chains - Examples and Applications
Understanding Markov Chains Vital Source e-bog
Nicolas Privault
(2018)
Understanding Markov Chains
Examples and Applications
Nicolas Privault
(2018)
Sprog: Engelsk
Detaljer om varen
- 2. Udgave
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Springer Nature (August 2018)
- ISBN: 9789811306594
Bookshelf online: 5 år fra købsdato.
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Detaljer om varen
- 2. Udgave
- Hardback
- Udgiver: Springer (August 2018)
- ISBN: 9789811306587
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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