Between local and global logarithmic averages

DOI10.1016/S0167-7152(96)00004-1zbMath0877.60024MaRDI QIDQ1359757

István Berkes, Lajos Horváth

Publication date: 14 December 1997

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

Wiener processstandard normal distribution function

Mathematics Subject Classification ID

Gaussian processes (60G15) Sample path properties (60G17) Functional limit theorems; invariance principles (60F17)

Cites Work

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• A note on the almost sure central limit theorem
• On almost sure local and global central limit theorems
• Weight functions and pathwise local central limit theorems
• Changes of sign of sums of random variables
• Some problems concerning the structure of random walk paths
• On Strong Mixing Conditions for Stationary Gaussian Processes
• An almost everywhere central limit theorem
• Invariance principles for logarithmic averages
• An approximation of partial sums of independent RV's, and the sample DF. II
• An approximation of partial sums of independent RV'-s, and the sample DF. I

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