Chover's law of the iterated logarithm for negatively associated sequences

DOI10.1007/s11424-010-7258-yzbMath1205.60069OpenAlexW2067354276MaRDI QIDQ601892

Qunying Wu, Yuanying Jiang

Publication date: 29 October 2010

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-010-7258-y

zbMATH Keywords

law of the iterated logarithmdomain of attractionnegatively associated

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items

An almost sure central limit theorem for the weight function sequences of NA random variables ⋮ Chover-type laws of the \(k\)-iterated logarithm for weighted sums of strongly mixing sequences ⋮ Strong law of large numbers and Chover's law of the iterated logarithm under sub-linear expectations ⋮ An improved result in almost sure central limit theory for products of partial sums with stable distribution ⋮ The chover-type law of iterated logarithm for the weighted sums of negatively superadditive dependent random variables ⋮ L_r convergence for arrays of rowwise asymptotically almost negatively associated random variables ⋮ Strong representation results of the Kaplan-Meier estimator for censored negatively associated data ⋮ Complete convergence of the maximum partial sums for arrays of rowwise of AANA random variables ⋮ Almost sure limit theorems for stable distributions ⋮ Some convergence properties for the maximum of partial sums of \(m\)-negatively associated random variables ⋮ Strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables ⋮ Applications of the Rosenthal-type inequality for negatively superadditive dependent random variables

Cites Work

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• Negative association of random variables, with applications
• Strong consistency of \(M\) estimator in linear model for negatively associated samples
• A Law of the Iterated Logarithm for Stable Summands
• Regularly varying functions