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Stopped Random Walks: Limit Theorems and Applications (Springer Series in Operations Research and Financial Engineering) Book
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Product Description
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. Examples are sequential analysis, queuing theory, storage and inventory theory, insurance risk theory, reliability theory, and the theory of contours. 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-dimenstional random walks, and to how these results are useful in various applications.
This second edition offers updated content and an outlook on further results, extensions and generalizations. A new chapter examines nonlinear renewal processes in order to present the analagous theory for perturbed random walks, modeled as a random walk plus "noise."
- 0387878343
- 9780387878348
- Allan Gut
- 26 March 2009
- Springer
- Hardcover (Book)
- 263
- 2nd ed.
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