A strong approximation for logarithmic averages of partial sums of random variables

DOI10.1007/BF01882194zbMath0846.60029OpenAlexW2077022375MaRDI QIDQ1914714

G. Hurelbaatar

Publication date: 23 September 1996

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01882194

zbMATH Keywords

invariance principlelogarithmic averagestrong approximationalmost sure central limit theoremweakly dependent random variablesstationary random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items

On the logarithmic average of iterated processes, Almost sure central limit theorems under minimal conditions, Almost sure functional central limit theorems for weakly dependent sequences, Almost sure central limit theorems for heavily trimmed sums

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