TY  - BOOK
AU  - 
ED  - SpringerLink (Online service)
TI  - Stopped Random Walks: Limit Theorems and Applications 
T2  - Springer Series in Operations Research and Financial Engineering,
SN  - 9780387878355
PY  - 2009///
CY  - New York, NY
PB  - Springer New York
KW  - Mathematics
KW  - Operations research
KW  - Distribution (Probability theory)
KW  - Probability Theory and Stochastic Processes
KW  - Operations Research, Mathematical Programming
N1  - 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; ZDB-2-SMA
N2  - 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
UR  - http://dx.doi.org/10.1007/978-0-387-87835-5
ER  -