MAXIMAL INEQUALITIES AND STRONG LAW OF LARGE NUMBERS FOR AANA SEQUENCES

DOI10.4134/CKMS.2011.26.1.151zbMath1213.60042OpenAlexW2075818529MaRDI QIDQ3083580

Li Xiaoqin, Wang Xuejun, Yang Wenzhi, Hu Shuhe

Publication date: 22 March 2011

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

Full work available at URL: https://doi.org/10.4134/ckms.2011.26.1.151

zbMATH Keywords

strong law of large numberslarge deviationHájek-Rényi inequalityasymptotically almost negatively associated sequence

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Strong limit theorems (60F15) Large deviations (60F10)

Related Items (9)

Some strong laws of large numbers, L₂-convergence and complete convergence for m-AANA random vectors in Hilbert space ⋮ Moment convergence rate of estimators in partially linear models under AANA errors ⋮ L_r convergence for arrays of rowwise asymptotically almost negatively associated random variables ⋮ Complete convergence of the maximum partial sums for arrays of rowwise of AANA random variables ⋮ Maximal inequalities and strong law of large numbers for sequences of m-asymptotically almost negatively associated random variables ⋮ On a general approach to the strong laws of large numbers ⋮ Strong consistency of estimators in a partially linear model with asymptotically almost negatively associated errors ⋮ Strong convergence properties and strong stability for weighted sums of AANA random variables ⋮ Strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables

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