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Stopped Random Walks : Limit Theorems and Applications / by Allan Gut
(Springer Series in Operations Research and Financial Engineering. ISSN:21971773)
版 | 2nd ed. 2009. |
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出版者 | (New York, NY : Springer New York : Imprint: Springer) |
出版年 | 2009 |
本文言語 | 英語 |
大きさ | XIV, 263 p : online resource |
著者標目 | *Gut, Allan author SpringerLink (Online service) |
件 名 | LCSH:Probabilities LCSH:Operations research LCSH:Management science FREE:Probability Theory FREE:Operations Research, Management Science |
一般注記 | Limit Theorems for Stopped Random Walks -- Renewal Processes and Random Walks -- Renewal Theory for Random Walks with Positive Drift -- Generalizations and Extensions -- Functional Limit Theorems -- Perturbed Random Walks Classical probability theory provides information about random walks after a fixed number of steps. For applications, however, it is more natural to consider random walks evaluated after a random number of steps. Stopped Random Walks: Limit Theorems and Applications shows how this theory can be used to prove limit theorems for renewal counting processes, first passage time processes, and certain two-dimensional random walks, as well as how these results may be used in a variety of applications. The present second edition offers updated content and an outlook on further results, extensions and generalizations. A new chapter introduces nonlinear renewal processes and the theory of perturbed random walks, which are modeled as random walks plus "noise". This self-contained research monograph is motivated by numerous examples and problems. With its concise blend of material and over 300 bibliographic references, the book provides a unified and fairly complete treatment of the area. The book may be used in the classroom as part of a course on "probability theory", "random walks" or "random walks and renewal processes", as well as for self-study. From the reviews: "The book provides a nice synthesis of a lot of useful material." --American Mathematical Society "...[a] clearly written book, useful for researcher and student." --Zentralblatt MATH HTTP:URL=https://doi.org/10.1007/978-0-387-87835-5 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9780387878355 |
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EB00226799 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA273.A1-274.9 DC23:519.2 |
書誌ID | 4000114947 |
ISBN | 9780387878355 |
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※2017年9月4日以降