A generalization of the Strassen converse

DOI10.1016/j.jmaa.2010.09.020zbMath1203.60033OpenAlexW2106520269MaRDI QIDQ607334

Yongcheng Qi, Hyung-Tae Ha, De Li Li

Publication date: 22 November 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.09.020

zbMATH Keywords

i.i.d. random variablesconvergence of generalized momentsthe law of the iterated logarithmthe Strassen converse

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Cites Work

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• A note on the almost sure central limit theorem
• Convex-invariant means and a pathwise central limit theorem
• General one-sided laws of the iterated logarithm
• On the convergence of generalized moments in almost sure central limit theorem
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• A Converse to the Law of the Iterated Logarithm for a Random Walk
• An invariance principle for the law of the iterated logarithm
• A converse to the law of the iterated logarithm
• On the converse to the iterated logarithm law
• The converse of the Hartman-Wintner theorem

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