EXPONENTIAL PROBABILITY INEQUALITY FOR LINEARLY NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES

DOI10.4134/CKMS.2007.22.1.137zbMath1168.60336OpenAlexW1971084091MaRDI QIDQ3394392

Mi-Hwa Ko, Yong-Kab Choi, Yue-Soon Choi

Publication date: 30 August 2009

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

Full work available at URL: https://doi.org/10.4134/ckms.2007.22.1.137

zbMATH Keywords

exponential inequalityalmost sure convergencenegatively associatedlinearly negative quadrant dependent

Mathematics Subject Classification ID

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

Related Items (12)

Central limit theorem for stationary linear processes generated by linearly negative quadrant-dependent sequence ⋮ On limiting behavior for arrays of rowwise linearly negative quadrant dependent random variables ⋮ Some inequalities for a LNQD sequence with applications ⋮ Berry-Esseen bounds of weighted kernel estimator for a nonparametric regression model based on linear process errors under a LNQD sequence ⋮ The law of the iterated logarithm for LNQD sequences ⋮ Limiting behavior of the maximum of the partial sum for linearly negative quadrant dependent random variables under residual Cesàro alpha-integrability assumption ⋮ Conditional limit theorems for conditionally linearly negative quadrant dependent random variables ⋮ On the exponential inequality for weighted sums of a class of linearly negative quadrant dependent random variables ⋮ Some mean convergence and complete convergence theorems for sequences of \(m\)-linearly negative quadrant dependent random variables. ⋮ Exponential inequalities and complete convergence for a LNQD sequence ⋮ Strong laws of large numbers for arrays of rowwise NA and LNQD random variables ⋮ Complete convergence for weighted sums of LNQD random variables

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