Stopped Random Walks di Allan Gut edito da Springer New York
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Stopped Random Walks

Limit Theorems and Applications

EAN:

9781441927736

ISBN:

1441927735

Pagine:
280
Formato:
Paperback
Lingua:
Inglese
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Descrizione Stopped Random Walks

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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