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- catalog abstract "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.".
- catalog contributor b7282363.
- catalog contributor b7282364.
- catalog created "c1994.".
- catalog date "1994".
- catalog date "c1994.".
- catalog dateCopyrighted "c1994.".
- catalog description "Includes bibliographical references and index.".
- catalog description "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.".
- catalog extent "ix, 146 p. :".
- catalog hasFormat "Asymptotic approximations for probability integrals.".
- catalog identifier "0387586172 (New York : acid-free)".
- catalog identifier "3540586172 (Berlin : acid-free) :".
- catalog isFormatOf "Asymptotic approximations for probability integrals.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1592.".
- catalog isPartOf "Lecture notes in mathematics ; 1592".
- catalog issued "1994".
- catalog issued "c1994.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Asymptotic approximations for probability integrals.".
- catalog subject "510 519.2 20".
- catalog subject "Asymptotic expansions.".
- catalog subject "Distribution (Probability theory).".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1592 QA274".
- catalog subject "Reliability (Engineering)".
- catalog subject "Statistics.".
- catalog subject "Stochastic processes.".
- catalog title "Asymptotic approximations for probability integrals / Karl Wilhelm Breitung.".
- catalog type "text".