Stopped Random Walks Limit Theorems and Applications /

• Κύριος συγγραφέας: Gut, Allan (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2009.
• Σειρά: Springer Series in Operations Research and Financial Engineering,
• Θέματα: Mathematics.; Operations research.; Management science.; Probabilities.; Probability Theory and Stochastic Processes.; Operations Research, Management Science.

 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. 

 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.