A uniform law of the iterated logarithm for classes of functions

DOI10.1214/aop/1176995385zbMath0404.60041OpenAlexW2030778386MaRDI QIDQ1256799

Walter Philipp, Robert P. Kaufman

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1214/aop/1176995385

zbMATH Keywords

Law of the Iterated LogarithmHilbert Space Valued Random VariablesLacunary SequencesMixing Sequences of Random Variables

Mathematics Subject Classification ID

Strong limit theorems (60F15) Diophantine approximation in probabilistic number theory (11K60)

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Limit theorems for sums of weakly dependent Banach space valued random variables ⋮ Géza Freud and lacunary Fourier series ⋮ GCD sums from Poisson integrals and systems of dilated functions ⋮ On the convergence of ∑𝑐_{𝑛}𝑓(𝑛𝑥) and the Lip 1/2 class ⋮ Empirical and Poisson processes on classes of sets or functions too large for central limit theorems

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