Asymptotic Approximations for Probability Integrals download ebook
Asymptotic Approximations for Probability Integrals download ebook

Asymptotic Approximations for Probability Integrals by Karl Wilhelm Breitung
Asymptotic Approximations for Probability Integrals
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Author: Karl Wilhelm Breitung
Page Count: 154 pages
Published Date: 16 Dec 1994
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Publication Country: Berlin, Germany
Language: English
ISBN: 9783540586173
File Name: asymptotic.approximations.for.probability.integrals.pdf
Download Link: asymptotic approximations for probability integrals
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This book gives a self-contained introduction to the subject of asymptotic approximation for multivariate integrals for both mathematicians and applied scientists. A collection of results of the Laplace methods is given. Such methods are useful for example in reliability, statistics, theoretical physics and information theory. An important special case is the approximation of multidimensional normal integrals. Here the relation between the differential geometry of the boundary of the integration domain and the asymptotic probability content is derived. One of the most important applications of these methods is in structural reliability. Engineers working in this field will find here a complete outline of asymptotic approximation methods for failure probability integrals.

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