A law of the iterated logarithm of partial sums for NA random variables

DOI10.1016/J.JKSS.2009.06.001zbMath1294.60055OpenAlexW2078337030MaRDI QIDQ2511332

Qunying Wu, Yuanying Jiang

Publication date: 5 August 2014

Published in: Journal of the Korean Statistical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jkss.2009.06.001

zbMATH Keywords

law of the iterated logarithmdomain of attraction of the normal distributionsequence of NA random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (15)

Weak convergence for weighted sums of negatively associated random variables and its application in nonparametric regression models ⋮ An almost sure central limit theorem for the weight function sequences of NA random variables ⋮ The almost sure local central limit theorem for the negatively associated sequences ⋮ An improved result in almost sure central limit theory for products of partial sums with stable distribution ⋮ 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 ⋮ On the strong convergence and complete convergence for pairwise NQD random variables ⋮ Convergence rates of wavelet estimators in semiparametric regression models under NA samples ⋮ Almost sure limit theorems for stable distributions ⋮ Another form of Chover's law of the iterated logarithm under sub-linear expectations ⋮ Some convergence properties for the maximum of partial sums of \(m\)-negatively associated random variables ⋮ Almost sure central limit theorem for self-normalized partial sums of 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

• A note on the almost sure convergence of sums of negatively dependent random variables
• A comparison theorem on moment inequalities between negatively associated and independent random variables
• Negative association of random variables, with applications
• Strong consistency of \(M\) estimator in linear model for negatively associated samples
• Regularly varying functions in the theory of simple branching processes
• A Law of the Iterated Logarithm for Stable Summands
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