A generalization of the Chung-Mogul'skii law of the iterated logarithm

DOI10.1016/0047-259X(91)90084-FzbMath0732.60038MaRDI QIDQ808519

Zhan Shi

Publication date: 1991

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

law of the iterated logarithmBrownian bridgesstrong approximation theoremempirical process of U-statistic structure

Mathematics Subject Classification ID

Strong limit theorems (60F15) Brownian motion (60J65)

Related Items

Inner rates of coverage of Strassen type sets by increments of the uniform empirical and quantile processes

Cites Work

• The almost sure invariance principle for the empirical process of U- statistic structure
• Rates of escape of infinite dimensional Brownian motion
• Small deviations in the functional central limit theorem with applications to functional laws of the iterated logarithm
• On the Law of the Iterated Logarithm in Chung’s Form for Functional Spaces
• On the Maximum Partial Sums of Sequences of Independent Random Variables
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