Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorYurinsky, Vadim Vladimirovich. author
TitleSums and Gaussian Vectors [electronic resource] / by Vadim Vladimirovich Yurinsky
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1995
Connect to
Descript XII, 312 p. online resource


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


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

Mathematics Probabilities Statistical physics Dynamical systems Mathematics Probability Theory and Stochastic Processes Statistical Physics Dynamical Systems and Complexity


Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network


facebook   instragram