On the strong convergence rate for positively associated random variables

DOI10.1016/J.JMAA.2010.08.004zbMath1201.60028OpenAlexW1966608437MaRDI QIDQ711011

Shan-chao Yang, Guo-Dong Xing

Publication date: 25 October 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.2010.08.004

zbMATH Keywords

strictly stationarystrong convergence ratemaximal and moment inequalitiespositively associated random variables

Mathematics Subject Classification ID

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

Related Items (4)

On the precise rates in the law of the logarithm for positively associated sequence ⋮ Convergence rates in precise asymptotics for a kind of complete moment convergence ⋮ On the exponential inequalities for negatively dependent random variables ⋮ On the exponential inequalities for widely orthant-dependent random variables

Cites Work

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• Weak convergence for weighted empirical processes of dependent sequences
• Central limit theorems for associated random variables and the percolation model
• Exact rates in log law for positively associated random variables
• Moment bounds for associated sequences
• On the convergence rate in the central limit theorem for associated processes
• A note on the strong law of large numbers for positively dependent random variables
• Normal fluctuations and the FKG inequalities
• An invariance principle for certain dependent sequences
• Kernel estimates under association: Strong uniform consistency
• Asymptotic normality of random fields of positively or negatively associated processes
• Precise asymptotics in the Baum-Katz and Davis laws of large numbers
• Asymptotic normality of a smooth estimate of a random field distribution function under association
• Curve estimation in random fields of associated processes
• Associated random variables and martingale inequalities
• Association of Random Variables, with Applications

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