000 | 02943nam a22005175i 4500 | ||
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001 | 978-3-540-44791-7 | ||
003 | DE-He213 | ||
005 | 20190213151535.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1995 gw | s |||| 0|eng d | ||
020 |
_a9783540447917 _9978-3-540-44791-7 |
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024 | 7 |
_a10.1007/BFb0092599 _2doi |
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050 | 4 | _aQA273.A1-274.9 | |
050 | 4 | _aQA274-274.9 | |
072 | 7 |
_aPBT _2bicssc |
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_aMAT029000 _2bisacsh |
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_aPBT _2thema |
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072 | 7 |
_aPBWL _2thema |
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082 | 0 | 4 |
_a519.2 _223 |
100 | 1 |
_aYurinsky, Vadim Vladimirovich. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aSums and Gaussian Vectors _h[electronic resource] / _cby Vadim Vladimirovich Yurinsky. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1995. |
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300 |
_aXII, 312 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1617 |
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505 | 0 | _aGaussian measures in euclidean space -- Seminorms of Gaussian vectors in infinite dimensions -- Inequalities for seminorms: Sums of independent random vectors -- Rough asymptotics of large deviations -- Gaussian and related approximations for distributions of sums -- Fine asymptotics of moderate deviations. | |
520 | _aSurveys the methods currently applied to study sums of infinite-dimensional independent random vectors in situations where their distributions resemble Gaussian laws. Covers probabilities of large deviations, Chebyshev-type inequalities for seminorms of sums, a method of constructing Edgeworth-type expansions, estimates of characteristic functions for random vectors obtained by smooth mappings of infinite-dimensional sums to Euclidean spaces. A self-contained exposition of the modern research apparatus around CLT, the book is accessible to new graduate students, and can be a useful reference for researchers and teachers of the subject. | ||
650 | 0 | _aDistribution (Probability theory. | |
650 | 0 | _aStatistical physics. | |
650 | 1 | 4 |
_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004 |
650 | 2 | 4 |
_aComplex Systems. _0http://scigraph.springernature.com/things/product-market-codes/P33000 |
650 | 2 | 4 |
_aStatistical Physics and Dynamical Systems. _0http://scigraph.springernature.com/things/product-market-codes/P19090 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662204665 |
776 | 0 | 8 |
_iPrinted edition: _z9783540603115 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1617 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0092599 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11027 _d11027 |