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."
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