Hajek-Renyi-type inequality for some nonmonotonic functions of associated random variables

DOI10.1155/JIA/2006/58317zbMath1131.60011OpenAlexW2162572003WikidataQ59212318 ScholiaQ59212318MaRDI QIDQ2471837

Isha Dewan, B. L. S. Prakasa Rao

Publication date: 19 February 2008

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

Full work available at URL: https://eudml.org/doc/128495

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Strong limit theorems (60F15) Inequalities for sums, series and integrals (26D15)

Cites Work

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• A general central limit theorem for FKG systems
• Central limit theorems for associated random variables and the percolation model
• 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
• Limit theorems for sums of nonmonotonic functions of associated random variables
• Hájek-Rényi-type inequality for associated sequences
• Association of Random Variables, with Applications
• Asymptotic normality for \(U\)-statistics of associated random variables

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