Nonuniform estimates in the central limit theorem in a Hilbert space. I

DOI10.1007/BF00970717zbMath0453.60013OpenAlexW2042701421MaRDI QIDQ1149162

Yuri V. Borovskikh

Publication date: 1980

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00970717

zbMATH Keywords

asymptoticscentral limit theorem in a Hilbert space

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Convergence of probability measures (60B10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

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• Berry-Esseen estimates in Hilbert space and an application to the law of the iterated logarithm
• On large deviations of the empiric D.F. of vector chance variables and a law of the iterated logarithm
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• Asymptotic Theory of a Class of Tests for Uniformity of a Circular Distribution

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