Click Here to Download: https://ouo.io/KG2SOuZ Stopped Random Walks Limit Theorems and Applications By: Allan Gut Publisher: Springer Print ISBN: 9780387878348, 0387878343 eText ISBN: 9780387878355, 0387878351 Edition: 2nd Copyright year: 2009 Format: PDF Available from $ 59.99 USD SKU 9780387878355 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.
