Read e-book online Asymptotic Analysis of Random Walks: Heavy-Tailed PDF

By A. A. Borovkov,K. A. Borovkov

This e-book specializes in the asymptotic behaviour of the possibilities of enormous deviations of the trajectories of random walks with 'heavy-tailed' (in specific, on a regular basis various, sub- and semiexponential) bounce distributions. huge deviation chances are of significant curiosity in several utilized parts, normal examples being spoil chances in possibility idea, errors percentages in mathematical information, and buffer-overflow percentages in queueing concept. The classical huge deviation idea, built for distributions decaying exponentially quickly (or even speedier) at infinity, ordinarily makes use of analytical equipment. If the short decay situation fails, that is the case in lots of vital utilized difficulties, then direct probabilistic equipment often end up to be effective. This monograph provides a unified and systematic exposition of the big deviation idea for heavy-tailed random walks. lots of the effects provided within the booklet are showing in a monograph for the 1st time. a lot of them have been bought by way of the authors.

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Asymptotic Analysis of Random Walks: Heavy-Tailed Distributions (Encyclopedia of Mathematics and its Applications) by A. A. Borovkov,K. A. Borovkov

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