02735nam 2200625 450 99646666600331620220304132837.03-540-44791-110.1007/BFb0092599(CKB)1000000000437216(SSID)ssj0000327015(PQKBManifestationID)12062313(PQKBTitleCode)TC0000327015(PQKBWorkID)10298419(PQKB)11492671(DE-He213)978-3-540-44791-7(MiAaPQ)EBC5578894(Au-PeEL)EBL5578894(OCoLC)1066198805(MiAaPQ)EBC6842676(Au-PeEL)EBL6842676(OCoLC)1292365326(PPN)155190571(EXLCZ)99100000000043721620220304d1995 uy 0engurnn#008mamaatxtccrSums and Gaussian vectors /Vadim Yurinsky1st ed. 1995.Berlin :Springer,[1995]©19951 online resource (XII, 312 p.)Lecture Notes in Mathematics,0075-8434 ;1617Bibliographic Level Mode of Issuance: Monograph3-540-60311-5 Gaussian 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.Surveys 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.Lecture Notes in Mathematics,0075-8434 ;1617Limit theorems (Probability theory)Gaussian sumsLimit theorems (Probability theory)Gaussian sums.519.260B12mscYurinsky Vadim1945-61045MiAaPQMiAaPQMiAaPQBOOK996466666003316Sums and Gaussian vectors83449UNISA