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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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Series Title

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Call Number

510

Publisher

Berlin, Heidelberg : Springer Berlin, Heidelberg., 1994

Collation

Mathematical

Language

English

ISBN/ISSN

978-3-540-49033-3

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

1

Subject(s)

Mathematical
Theoretical, Mathematical
Computational Physics

Specific Detail Info

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Statement of Responsibility

Karl Wilhelm Breitung

Other Information

Cataloger

Suwardi

Source

https://link.springer.com/book/10.1007/BFb0073538

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