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Stopped Random Walks
Limit Theorems and Applications
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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.
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Subject categories
- Academic > Mathematics > Probabilities. Mathematical statistics > Stochastic processes
- Academic > Mathematics > Probabilities. Mathematical statistics > Markov processes
- Academic > Mathematics > Probabilities. Mathematical statistics > Random walks (Mathematics)
- Academic > Mathematics > General
- Mathematics > Linear Programming
- Mathematics > Probability & Statistics
- Business > Production & Operations Management
- Business > Development
ISBNs
0387878351
9780387878348
9780387878355