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Understanding Markov Chains : Examples and Applications. 2nd ed. マルコフ連鎖を理解する 第2版
・ISBN 978-981-13-0658-7 paper EUR 44.99
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| 著者・編者 | Privault, Nicolas, |
|---|---|
| シリーズ | Springer Undergraduate Mathematics Series |
| 出版社 | (Springer, GW) |
| 出版年月 | 2018 |
| ページ数 | 370 pp. |
| 言語 | ENG |
| ニュース番号 | ＜647-431 647-P888＞ |
解説
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.