Exponential inequalities and complete convergence for a LNQD sequence

DOI10.1016/j.jkss.2010.01.002zbMath1294.60037OpenAlexW2003866856MaRDI QIDQ2511751

Shuhe Hu, Wenzhi Yang, Xiaoqin Li, Xue-jun Wang

Publication date: 6 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.2010.01.002

zbMATH Keywords

complete convergenceexponential inequalitieslinearly negative quadrant dependent sequencenegative quadrant dependent sequence

Mathematics Subject Classification ID

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

Related Items (15)

Uniformly asymptotic normality of sample quantiles estimator for linearly negative quadrant dependent samples ⋮ A Berry-Esseen bound of wavelet estimation for a nonparametric regression model under linear process errors based on LNQD sequence ⋮ On limiting behavior for arrays of rowwise linearly negative quadrant dependent random variables ⋮ Some inequalities for a LNQD sequence with applications ⋮ Some probability inequalities for a class of random variables and their applications ⋮ On the linearly extended negative quadrant dependent random variables and its inequalities ⋮ 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 ⋮ Conditional limit theorems for conditionally linearly negative quadrant dependent random variables ⋮ Some mean convergence and complete convergence theorems for sequences of \(m\)-linearly negative quadrant dependent random variables. ⋮ On the strong convergence and complete convergence for pairwise NQD random variables ⋮ The limit law of the iterated logarithm for linear processes ⋮ Asymptotic normality and mean consistency for the weighted estimator in nonparametric regression models ⋮ Complete convergence for weighted sums of LNQD random variables ⋮ Complete convergence theorems for extended negatively dependent random variables

Cites Work

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• Limiting behaviors of weighted sums for linearly negative quadrant dependent random variables
• A Berry-Esseen theorem for weakly negatively dependent random variables and its applications
• A remark on the exponential inequality for negatively associated random variables
• Weighted sums of certain dependent random variables
• EXPONENTIAL PROBABILITY INEQUALITY FOR LINEARLY NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES
• EXPONENTIAL INEQUALITY AND ALMOST SURE CONVERGENCE FOR THE NEGATIVELY ASSOCIATED SEQUENCE
• Probability Inequalities for Sums of Bounded Random Variables
• Some Concepts of Dependence
• An exponential inequality for negatively associated random variables
• A functional central limit theorem for asymptotically negatively dependent random fields

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