The Hajeck-Renyi inequality for weighted sums of negatively orthant dependent random variables

DOI10.12988/ijcms.2006.06030zbMath1156.60306OpenAlexW2490001437MaRDI QIDQ3598729

Hyun-Chull Kim

Publication date: 3 February 2009

Published in: International Journal of Contemporary Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12988/ijcms.2006.06030

zbMATH Keywords

strong law of large numbersweighted sumRademacher-Mensov inequality

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

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Exponential inequality for a class of NOD random variables and its application ⋮ On the strong convergence rate for weighted sums of arrays of rowwise negatively orthant dependent random variables ⋮ An exponential inequality for a NOD sequence and a strong law of large numbers ⋮ Complete convergence for arrays of rowwise negatively orthant dependent random variables ⋮ On the strong convergence properties for weighted sums of negatively orthant dependent random variables ⋮ On a general approach to the strong laws of large numbers ⋮ The strong consistency of the estimator of fixed-design regression model under negatively dependent sequences ⋮ Negative association and negative dependence for random upper semicontinuous functions, with applications ⋮ Unnamed Item ⋮ On the rate of convergence in the strong law of large numbers for negatively orthant-dependent random variables

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