Some results on the cluster set \(C(\{S_n/a_n\})\) and the LIL

DOI10.1214/aop/1176993662zbMath0507.60002OpenAlexW2081445366MaRDI QIDQ1837463

Alejandro D. de Acosta, James Kuelbs

Publication date: 1983

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176993662

zbMATH Keywords

law of the iterated logarithmcluster settype 2 spacessmooth norm spacesupper Gaussian comparison principle

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Strong limit theorems (60F15) Large deviations (60F10) Convergence of probability measures (60B10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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