Strassen-type law of the iterated logarithm for self-normalized sums

DOI10.1007/s10959-011-0353-8zbMath1271.60045OpenAlexW2090072844MaRDI QIDQ354760

Miklós Csörgő, Hongwei Mei, Zhishui Hu

Publication date: 19 July 2013

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-011-0353-8

zbMATH Keywords

self-normalized sumsdomain of attraction of the normal lawStrassen-type law of the iterated logarithm

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Cites Work

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• Self-normalized laws of the iterated logarithm
• Self-normalized Cramér-type large deviations for independent random variables.
• Towards a universal self-normalized moderate deviation
• Self-Normalized Processes
• A glimpse of the impact of pál erdős on probability and statistics
• An invariance principle for the law of the iterated logarithm
• A converse to the law of the iterated logarithm