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Stopped Random Walks

Limit Theorems and Applications

Inbunden, Engelska, 2009

AvAllan Gut

699 kr

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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." N.H. Bingham "...[a] clearly written book, useful for researcher and student." A.J. Stam

Produktinformation

  • Utgivningsdatum2009-02-27
  • Mått178 x 235 x 20 mm
  • Vikt658 g
  • FormatInbunden
  • SpråkEngelska
  • SerieSpringer Series in Operations Research and Financial Engineering
  • Antal sidor263
  • Upplaga2
  • FörlagSpringer-Verlag New York Inc.
  • ISBN9780387878348