A note on the Hajek-Renyi inequality for associated random variables

DOI10.1016/j.spl.2007.09.015zbMath1139.60307OpenAlexW1976928666WikidataQ105583777 ScholiaQ105583777MaRDI QIDQ927363

Soo Hak Sung

Publication date: 5 June 2008

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2007.09.015

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Strong limit theorems (60F15)

Related Items (8)

Hajek-Renyi-type inequality for \((\alpha, \beta)\)-mixing sequences and its application to change-point model ⋮ Conditional versions of limit theorems for conditionally associated random variables ⋮ Hajek–Renyi-type inequality and strong law of large numbers for END sequences ⋮ Generalizing the Marshall's Inequality ⋮ Hájek-Rényi-type inequality and strong law of large numbers for some dependent sequences ⋮ The central limit theorem for supercritical oriented percolation in two dimensions ⋮ The Hàjek-Rènyi-type inequality for associated random variables ⋮ Strong laws of large numbers for positively dependent random variables

Cites Work

• Unnamed Item
• A note on the strong law of large numbers for positively dependent random variables
• An invariance principle for certain dependent sequences
• The Hájek-Rényi inequality for the NA random variables and its application
• The Hájek-Rényi inequality for Banach space valued martingales and the \(p\) smoothness of Banach spaces
• Hájek-Rényi-type inequality for associated sequences
• Generalization of an inequality of Kolmogorov
• Associated random variables and martingale inequalities
• Association of Random Variables, with Applications

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