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- catalog abstract "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.".
- catalog contributor b8822094.
- catalog created "1995.".
- catalog date "1995".
- catalog date "1995.".
- catalog dateCopyrighted "1995.".
- catalog description "1. Gaussian Measures in Euclidean Space -- 2. Seminorms of Gaussian Vectors in Infinite Dimensions -- 3. Inequalities for Seminorms: Sums of Independent Random Vectors -- 4. Rough Asymptotics of Large Deviations -- 5. Gaussian and Related Approximations for Distributions of Sums -- 6. Fine Asymptotics of Moderate Deviations.".
- catalog description "Includes bibliographical references (p.[285]-303) and index.".
- catalog description "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.".
- catalog extent "xi, 305 p. ;".
- catalog hasFormat "Sums and Gaussian vectors.".
- catalog identifier "3540603115 (soft cover)".
- catalog isFormatOf "Sums and Gaussian vectors.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1617.".
- catalog isPartOf "Lecture notes in mathematics ; 1617".
- catalog issued "1995".
- catalog issued "1995.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Sums and Gaussian vectors.".
- catalog subject "510 s 519.2/6 20".
- catalog subject "Distribution (Probability theory).".
- catalog subject "Gaussian sums.".
- catalog subject "Limit theorems (Probability theory)".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1617 QA246.8.G38".
- catalog subject "Statistical physics.".
- catalog tableOfContents "1. Gaussian Measures in Euclidean Space -- 2. Seminorms of Gaussian Vectors in Infinite Dimensions -- 3. Inequalities for Seminorms: Sums of Independent Random Vectors -- 4. Rough Asymptotics of Large Deviations -- 5. Gaussian and Related Approximations for Distributions of Sums -- 6. Fine Asymptotics of Moderate Deviations.".
- catalog title "Sums and Gaussian vectors / Vadim Yurinsky.".
- catalog type "text".