Stopped Random Walks Limit Theorems and Applications /

• Main Author: Gut, Allan. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: Springer Series in Operations Research and Financial Engineering,
• Subjects: Mathematics.; Operations research.; Distribution (Probability theory).; Probability Theory and Stochastic Processes.; Operations Research, Mathematical Programming.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-87835-5

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...

Table of Contents:

• Preface
• Notations and Symbols
• Introduction
• 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
• Appendix A: Some Facts from Probability Theory
• Appendix B: Some Facts about Regularly Varying Functions
• Bibliography
• Index.