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Asymptotic Analysis of Random Walks on Hardback by A.A. Borovkov
Asymptotic Analysis of Random Walks on Hardback by A.A. Borovkov
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Asymptotic Analysis of Random Walks

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Description

This book focuses on the asymptotic behaviour of the probabilities of large deviations of the trajectories of random walks with 'heavy-tailed' (in particular, regularly varying, sub- and semiexponential) jump distributions. Large deviation probabilities are of great interest in numerous applied areas, typical examples being ruin probabilities in risk theory, error probabilities in mathematical statistics, and buffer-overflow probabilities in queueing theory. The classical large deviation theory, developed for distributions decaying exponentially fast (or even faster) at infinity, mostly uses analytical methods. If the fast decay condition fails, which is the case in many important applied problems, then direct probabilistic methods usually prove to be efficient. This monograph presents a unified and systematic exposition of the large deviation theory for heavy-tailed random walks. Most of the results presented in the book are appearing in a monograph for the first time. Many of them were obtained by the authors.

Author Biography:

Alexander Borovkov works at the Sobolev Institute of Mathematics in Novosibirsk. Konstantin Borovkov is a staff member in the Department of Mathematics and Statistics at the University of Melbourne.
Release date Australia
June 12th, 2008
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises; 5 Line drawings, unspecified
Pages
656
Dimensions
162x242x48
ISBN-13
9780521881173
Product ID
2611079

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