Overview
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, queueing theory, storage and inventory theory, insurance risk theory, reliability theory, and the theory of counters. 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, 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".
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Details
- ISBN-13: 9780387878348
- ISBN-10: 0387878343
- Publisher: Springer
- Publish Date: February 2009
- Dimensions: 9.3 x 7 x 0.7 inches
- Shipping Weight: 1.35 pounds
- Page Count: 263
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