A general law of precise asymptotics for the complete moment convergence

DOI10.1007/s11401-007-0309-6zbMath1182.60013OpenAlexW2033029016MaRDI QIDQ1044795

Yong Zhang, Xiao-Yun Yang, Zhi Shan Dong

Publication date: 15 December 2009

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-007-0309-6

zbMATH Keywords

complete moment convergenceprecise asymptoticsgeneral law

Mathematics Subject Classification ID

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

Related Items (5)

Complete moment convergence for the linear processes with random coefficients generated by a class of random variables ⋮ A general law of moment convergence rates for uniform empirical process ⋮ General results on precise asymptotics under sub-linear expectations ⋮ Strong convergence for weighted sums of negatively associated arrays ⋮ A result on precise asymptotics for largest eigenvalues of \(\beta\) ensembles

Cites Work

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• A two-sided estimate in the Hsu-Robbins-Erdős law of large numbers
• Precise asymptotics in Spitzer's law of large numbers
• Precise asymptotics in the Baum-Katz and Davis laws of large numbers
• Precise asymptotics in the law of the iterated logarithm.
• Precise asymptotics for a new kind of complete moment convergence
• A supplement to the strong law of large numbers
• Complete Convergence and the Law of Large Numbers
• Large deviations of sums of independent random variables

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