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Titlebook: Stopped Random Walks; Limit Theorems and A Allan Gut Textbook 2009Latest edition Springer-Verlag New York 2009 Probability theory.Sage.limi

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1431-8598 and an outlook on further results, extensions and generalizations. A new chapter examines nonlinear renewal processes in order to present the analagous theory for perturbed random walks, modeled as a random walk plus “noise”..978-1-4419-2773-6978-0-387-87835-5Series ISSN 1431-8598 Series E-ISSN 2197-1773
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Textbook 2009Latest editionconsider random walks evaluated after a .random. number of steps. Examples are sequential analysis, queueing theory, storage and inventory theory, insurance risk theory, reliability theory, and the theory of counters. .Stopped Random Walks: Limit Theorems and Applications .shows how this theory can
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Perturbed Random Walks,s covered in Chapter 3 and onwards. The next one was considered in Section 4.5, namely “time dependent” boundaries. Since the appearance of the first edition of this book in 1988 research in the area has moved on. In this chapter we present some of the post-1988 development.
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Textbook 2009Latest editionse results are useful in various applications...This second edition offers updated content and an outlook on further results, extensions and generalizations. A new chapter examines nonlinear renewal processes in order to present the analagous theory for perturbed random walks, modeled as a random walk plus “noise”..
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Limit Theorems for Stopped Random Walks,e studies first passage times across horizontal levels, here, in particular, the zero level corresponds to the first ascending ladder epoch. In reliability theory one may, for example, be interested in the total cost for the replacements made during a fixed time interval and so on.
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