Precise rates in the law of the iterated logarithm for the first moment convergence

DOI10.1007/s00009-013-0351-4zbMath1308.60034OpenAlexW1966269573MaRDI QIDQ2255091

Hong-Wei Yin, Xiao-Yong Xiao

Publication date: 6 February 2015

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-013-0351-4

zbMATH Keywords

law of the iterated logarithmmoment convergence ratesi.i.d. random variables

Mathematics Subject Classification ID

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

Cites Work

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• Precise rates in the law of logarithm for the moment convergence of i.i.d. random variables
• Some results on convergence rates for probabilities of moderate deviations for sums of random variables
• Precise asymptotics in the Baum-Katz and Davis laws of large numbers
• A supplement to precise asymptotics in the law of the iterated logarithm
• Precise asymptotics in the law of the iterated logarithm.
• Precise asymptotics for a new kind of complete moment convergence
• Precise rates in the law of iterated logarithm for the moment of i.i.d. random variables
• Complete Convergence and the Law of Large Numbers
• On a Theorem of Hsu and Robbins
• Remark on my Paper "On a Theorem of Hsu and Robbins"

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