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Springer Series in Operations Research and Financial Engineering

Stopped Random Walks

Limit Theorems and Applications

Authors: Gut, Allan

  • Second edition features a new chapter on perturbed random walks, which are modeled as random walks plus "noise"
  • Presents updates to the first edition, including an outlook on further results, extensions and generalizations on the subject
  • Adds close to 100 bibliographic references onto the approximately 200 original ones
  • Presents a concise blend of material useful for both the researcher and student of probability theory
  • Self-contained text motivated by examples and problems
  • May be used in the classroom or for self-study
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eBook $44.99
price for USA (gross)
  • ISBN 978-0-387-87835-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA
  • ISBN 978-0-387-87834-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA
  • ISBN 978-1-4419-2773-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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

About the authors

Dr. Allan Gut is a professor of mathematical statistics at Uppsala University in Sweden. He has published many numerous articles, and has authored and co-authored six books, four of which were published by Springer. Three of those books, including the first edition of this book, have sold out, and Probability: A Graduate Course, published in 2005, is selling well.

Reviews

From the reviews of the second edition:

“Stopped random walks occur in sequential analysis renewal theory and queueing theory several applications are discussed in the text. … The book under review is the second edition of a book first published in 1988 … . lengthy bibliography from the first edition has been brought up to date. … an excellent reference and its material is still worthy of study.” (Thomas Polaski, Mathematical Reviews, Issue 2010 f)

“This is definitely a book for the specialist in the field. … It would suit an academic or a researcher … seeking to use random walks as a tool for some real-world problem. … the material is very thorough and there are plentiful references. All results are rigorously established, either by a formal proof or by pointing the reader in the right direction. It will enable any researcher to be right up to date with the latest developments in the field.” (F. McGonigal, Journal of the Operational Research Society, Vol. 62 (2), 2011)


Table of contents (6 chapters)

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-0-387-87835-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA
  • ISBN 978-0-387-87834-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA
  • ISBN 978-1-4419-2773-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Stopped Random Walks
Book Subtitle
Limit Theorems and Applications
Authors
Series Title
Springer Series in Operations Research and Financial Engineering
Copyright
2009
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-87835-5
DOI
10.1007/978-0-387-87835-5
Hardcover ISBN
978-0-387-87834-8
Softcover ISBN
978-1-4419-2773-6
Series ISSN
1431-8598
Edition Number
2
Number of Pages
XIV, 263
Additional Information
Originally published as volume 5 in the series: Applied Probability
Topics