LEADER 02735nam 2200625 450 001 996466666003316 005 20220304132837.0 010 $a3-540-44791-1 024 7 $a10.1007/BFb0092599 035 $a(CKB)1000000000437216 035 $a(SSID)ssj0000327015 035 $a(PQKBManifestationID)12062313 035 $a(PQKBTitleCode)TC0000327015 035 $a(PQKBWorkID)10298419 035 $a(PQKB)11492671 035 $a(DE-He213)978-3-540-44791-7 035 $a(MiAaPQ)EBC5578894 035 $a(Au-PeEL)EBL5578894 035 $a(OCoLC)1066198805 035 $a(MiAaPQ)EBC6842676 035 $a(Au-PeEL)EBL6842676 035 $a(OCoLC)1292365326 035 $a(PPN)155190571 035 $a(EXLCZ)991000000000437216 100 $a20220304d1995 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSums and Gaussian vectors /$fVadim Yurinsky 205 $a1st ed. 1995. 210 1$aBerlin :$cSpringer,$d[1995] 210 4$dİ1995 215 $a1 online resource (XII, 312 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1617 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-60311-5 327 $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. 330 $aSurveys the methods currently applied to study sums of infinite-dimensional independent random vectors in situations where their distributions resemble Gaussian laws. Covers probabilities of large deviations, Chebyshev-type inequalities for seminorms of sums, a method of constructing Edgeworth-type expansions, estimates of characteristic functions for random vectors obtained by smooth mappings of infinite-dimensional sums to Euclidean spaces. A self-contained exposition of the modern research apparatus around CLT, the book is accessible to new graduate students, and can be a useful reference for researchers and teachers of the subject. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1617 606 $aLimit theorems (Probability theory) 606 $aGaussian sums 615 0$aLimit theorems (Probability theory) 615 0$aGaussian sums. 676 $a519.2 686 $a60B12$2msc 700 $aYurinsky$b Vadim$f1945-$061045 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466666003316 996 $aSums and Gaussian vectors$983449 997 $aUNISA