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Stopped Random Walks

Limit Theorems and Applications

  • AllanĀ Gut

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Allan Gut
    Pages 49-77
  3. Allan Gut
    Pages 115-156
  4. Allan Gut
    Pages 157-174
  5. Allan Gut
    Pages 175-221
  6. Back Matter
    Pages 223-263

About this book

Introduction

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

Keywords

Probability theory Sage limit theorems perturbed random walks probability renewal processes two-dimensional random walks

Authors and affiliations

  • AllanĀ Gut
    • 1
  1. 1.Dept. MathematicsUppsala UniversityUppsalaSweden

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-87835-5
  • Copyright Information Springer Science+Business Media, LLC 2009
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-87834-8
  • Online ISBN 978-0-387-87835-5
  • Series Print ISSN 1431-8598
  • Buy this book on publisher's site
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