Stopped Random Walks : Limit Theorems and Applications

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...

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Detalles Bibliográficos
Autor principal: Gut, Allan, 1944-
Formato: Livre numérique
Lenguaje:Anglais
Publicado: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edición:2nd edition 2009.
Colección:Springer Series in Operations Research and Financial Engineering
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Nota: Description d'après consultation du 15 novembre 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Stopped Random Walks, Texte imprimé, 9780387879468
• Stopped Random Walks, Texte imprimé, 9781441927736
• Stopped random walks, limit theorems and applications, Allan Gut, 2nd edition, 2009, New York, Springer, 1 vol. (XI-263 p.), Springer series in operations research and financial engineering, 978-0-387-87834-8
Descripción
Sumario: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
Notas:Description d'après consultation du 15 novembre 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9780387878355
ISSN:2197-1773
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