000 | 03172nam a22005295i 4500 | ||
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001 | 978-3-540-49033-3 | ||
003 | DE-He213 | ||
005 | 20190213151503.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1994 gw | s |||| 0|eng d | ||
020 |
_a9783540490333 _9978-3-540-49033-3 |
||
024 | 7 |
_a10.1007/BFb0073538 _2doi |
|
050 | 4 | _aTA329-348 | |
050 | 4 | _aTA640-643 | |
072 | 7 |
_aTBJ _2bicssc |
|
072 | 7 |
_aMAT003000 _2bisacsh |
|
072 | 7 |
_aTBJ _2thema |
|
082 | 0 | 4 |
_a519 _223 |
100 | 1 |
_aBreitung, Karl Wilhelm. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aAsymptotic Approximations for Probability Integrals _h[electronic resource] / _cby Karl Wilhelm Breitung. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1994. |
|
300 |
_aX, 154 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1592 |
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505 | 0 | _aMathematical preliminaries -- Asymptotic analysis -- Univariate integrals -- Multivariate laplace type integrals -- Approximations for normal integrals -- Arbitrary probability integrals -- Crossing rates of stochastic processes. | |
520 | _aThis 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 | _aEngineering mathematics. | |
650 | 0 | _aDistribution (Probability theory. | |
650 | 0 | _aGlobal differential geometry. | |
650 | 1 | 4 |
_aMathematical and Computational Engineering. _0http://scigraph.springernature.com/things/product-market-codes/T11006 |
650 | 2 | 4 |
_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004 |
650 | 2 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662207956 |
776 | 0 | 8 |
_iPrinted edition: _z9783540586173 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1592 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0073538 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10844 _d10844 |