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100301s2009 xxu| s |||| 0|eng d |
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|a 9780387878355
|9 978-0-387-87835-5
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7 |
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|a 10.1007/978-0-387-87835-5
|2 doi
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|a Gut, Allan.
|e author.
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|a Stopped Random Walks
|b Limit Theorems and Applications /
|c by Allan Gut.
|h [electronic resource] :
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|a New York, NY :
|b Springer New York,
|c 2009.
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300 |
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|a XIV, 263p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Springer Series in Operations Research and Financial Engineering,
|x 1431-8598
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|a Preface -- Notations and Symbols -- Introduction -- 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 -- Appendix A: Some Facts from Probability Theory -- Appendix B: Some Facts about Regularly Varying Functions -- Bibliography -- Index.
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|a 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
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|a Mathematics.
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|a Operations research.
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|a Distribution (Probability theory).
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|a Mathematics.
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|a Probability Theory and Stochastic Processes.
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|a Operations Research, Mathematical Programming.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9780387878348
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830 |
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|a Springer Series in Operations Research and Financial Engineering,
|x 1431-8598
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856 |
4 |
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-87835-5
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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