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Asymptotic approximations for probability integrals (notice n° 2245)

000 -LEADER
fixed length control field 01528nam a2200265 u 4500
001 - CONTROL NUMBER
control field UNI0000317
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20161122154445.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 130920s1994 XX eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 3540586172 (paperback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540586173 (paperback)
040 ## - CATALOGING SOURCE
Original cataloging agency DCLC
040 ## - CATALOGING SOURCE
Modifying agency IMIST
Description conventions AFNOR
041 1# - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519.2
Edition number 22
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Breitung, Karl Wilhelm
245 #0 - TITLE STATEMENT
Title Asymptotic approximations for probability integrals
Statement of responsibility, etc Karl Wilhelm Breitung
250 ## - EDITION STATEMENT
Edition statement 1994th ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc [S.l.]
Name of publisher, distributor, etc Springer
Date of publication, distribution, etc 1994
300 ## - PHYSICAL DESCRIPTION
Extent 146 p.
Dimensions 24 cm.
490 1# - SERIES STATEMENT
Series statement Lecture notes in mathematics
Volume number/sequential designation 1592
500 ## - GENERAL NOTE
General note 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Asymptotic expansions
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Reliability (Engineering)
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Stochastic processes
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