Feller’s upper-lower class test in Euclidean space

DOI10.1090/tran/8728zbMath1498.60117arXiv2107.13229OpenAlexW4224267351WikidataQ114093745 ScholiaQ114093745MaRDI QIDQ5098843

Uwe Einmahl

Publication date: 31 August 2022

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.13229

zbMATH Keywords

Euclidean spaceGaussian random vectorsupper-lower class testHartman-Wintner law of the iterated logarithm (LIL)

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Cites Work

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• Upper-lower class tests for weighted i.i.d. sequences and martingales
• On the almost sure behavior of sums of iid random variables in Hilbert space
• Exact convergence rates for the bounded law of the iterated logarithm in Hilbert space
• Sample path behavior for Brownian motion in Banach spaces
• A note on the law of the iterated logarithm in Hilbert space
• The Darling-Erdős theorem for sums of i.i.d. random variables
• A general Darling-Erdős theorem in Euclidean space
• The law of the iterated logarithm for identically distributed random variables
• Characterization of LIL behavior in Banach space
• Concerning a Certain Probability Problem
• The General Form of the So-Called Law of the Iterated Logarithm
• On the law of the iterated logarithm

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