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Asymptotic Approximations for Probability Integrals

2006-11-14 Technology & Engineering
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Release : 2006-11-14
Genre : Technology & Engineering
Kind : eBook
Book Rating : 337/5 ( reviews)

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Book Synopsis Asymptotic Approximations for Probability Integrals by : Karl W. Breitung

Download or read book Asymptotic Approximations for Probability Integrals written by Karl W. Breitung. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Asymptotic Approximations for Probability Integrals

1994-01-01 Mathematics
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Release : 1994-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 175/5 ( reviews)

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Book Synopsis Asymptotic Approximations for Probability Integrals by : Karl Wilhelm Breitung

Download or read book Asymptotic Approximations for Probability Integrals written by Karl Wilhelm Breitung. This book was released on 1994-01-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Asymptotic Approximations of Integrals

2014-05-10 Mathematics
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Release : 2014-05-10
Genre : Mathematics
Kind : eBook
Book Rating : 710/5 ( reviews)

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Book Synopsis Asymptotic Approximations of Integrals by : R. Wong

Download or read book Asymptotic Approximations of Integrals written by R. Wong. This book was released on 2014-05-10. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic Approximations of Integrals deals with the methods used in the asymptotic approximation of integrals. Topics covered range from logarithmic singularities and the summability method to the distributional approach and the Mellin transform technique for multiple integrals. Uniform asymptotic expansions via a rational transformation are also discussed, along with double integrals with a curve of stationary points. For completeness, classical methods are examined as well. Comprised of nine chapters, this volume begins with an introduction to the fundamental concepts of asymptotics, followed by a discussion on classical techniques used in the asymptotic evaluation of integrals, including Laplace's method, Mellin transform techniques, and the summability method. Subsequent chapters focus on the elementary theory of distributions; the distributional approach; uniform asymptotic expansions; and integrals which depend on auxiliary parameters in addition to the asymptotic variable. The book concludes by considering double integrals and higher-dimensional integrals. This monograph is intended for graduate students and research workers in mathematics, physics, and engineering.

Asymptotic Approximations for Probability Integrals

1989
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Release : 1989
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Asymptotic Approximations for Probability Integrals by : Karl Breitung

Download or read book Asymptotic Approximations for Probability Integrals written by Karl Breitung. This book was released on 1989. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Approximations of Integrals

2001
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Release : 2001
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Asymptotic Approximations of Integrals by :

Download or read book Asymptotic Approximations of Integrals written by . This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt:

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