Stopped Random Walks: Limit Theorems and Applications (Springer Series in Operations Research and Financial Engineering)

Allan Gut

ISBN 10: 1441927735 / ISBN 13: 9781441927736

Editore: Springer 2010-12-15, 2010

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Codice articolo 6666-IUK-9781441927736

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Titolo: Stopped Random Walks: Limit Theorems and ...

Casa editrice: Springer 2010-12-15

Data di pubblicazione: 2010

Legatura: Paperback

Condizione: New

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Riassunto:

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. 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 be used to prove limit theorems for renewal counting processes, first passage time processes, and certain two-dimensional random walks, and to how these 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”.

Informazioni sull?autore:

Dr. Allan Gut is a professor of mathematical statistics at Uppsala University in Sweden. He has published many numerous articles, and has authored and co-authored six books, four of which were published by Springer. Three of those books, including the first edition of this book, have sold out, and Probability: A Graduate Course, published in 2005, is selling well.