Gut, Allan. <br/><br/>
Stopped Random Walks  Limit Theorems and Applications /  [electronic resource] : 
by Allan Gut. 
 - XIV, 263p.  online resource. 
 - Springer Series in Operations Research and Financial Engineering,  1431-8598 .
 - Springer Series in Operations Research and Financial Engineering, .
<br/><br/>Limit Theorems for Stopped Random Walks -- Renewal Processes and Random Walks -- Renewal Theory for Random Walks with Positive Drift -- Generalizations and Extensions -- Functional Limit Theorems -- Perturbed Random Walks. 
<br/><br/>ZDB-2-SMA 
<br/><br/> 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. 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, as well as how these results may be used in a variety of applications. The present second edition offers updated content and an outlook on further results, extensions and generalizations. A new chapter introduces nonlinear renewal processes and the theory of perturbed random walks, which are modeled as random walks plus "noise". This self-contained research monograph is motivated by numerous examples and problems. With its concise blend of material and over 300 bibliographic references, the book provides a unified and fairly complete treatment of the area. The book may be used in the classroom as part of a course on "probability theory", "random walks" or "random walks and renewal processes", as well as for self-study. From the reviews: "The book provides a nice synthesis of a lot of useful material." --American Mathematical Society "...[a] clearly written book, useful for researcher and student." --Zentralblatt MATH 
<br/><br/><label>ISBN: </label>9780387878355 
<br/><br/><label>Standard No.: </label>10.1007/978-0-387-87835-5  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Mathematics.<br/>Operations research.<br/>Distribution (Probability theory).<br/>Mathematics.<br/>Probability Theory and Stochastic Processes.<br/>Operations Research, Mathematical Programming.