Stopped Random Walks : Limit Theorems and Applications PDF
by Allan Gut
Part of the Springer Series in Operations Research and Financial Engineering series
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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, 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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- Format:PDF
- Publisher:Springer New York
- Publication Date:03/04/2009
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- ISBN:9780387878355
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Information
-
Download Now
- Format:PDF
- Publisher:Springer New York
- Publication Date:03/04/2009
- Category:
- ISBN:9780387878355