£177.99

Cambridge University Press Asymptotic Analysis of Random Walks: Heavy-Tailed Distributions: 118 (Encyclopedia of Mathematics and its Applications, Series Number 118)

5 b/w illus.

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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.

Product Specifications
Brand
Cambridge University Press
Model
5 b/w illus.
Format
hardcover
ASIN
052188117X
Category
Books > Subjects > Science, Nature & Maths > Mathematics > Applied Mathematics
Domain
Amazon UK
Release Date
12 June 2008
Listed Since
30 July 2007

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