Complete convergence for weighted sums of LNQD random variables

DOI10.1080/17442508.2014.931959zbMath1319.60038OpenAlexW2063330840MaRDI QIDQ5265779

Ying Zhang, Aiting Shen, Huayan Zhu, Ran Chao Wu

Publication date: 29 July 2015

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2014.931959

zbMATH Keywords

complete convergencelinearly negative quadrant dependent sequencenegative quadrant dependent sequence

Mathematics Subject Classification ID

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

Related Items (6)

Complete consistency for the weighted least squares estimators in semiparametric regression models ⋮ On the convergence for weighted sums of Hilbert-valued coordinatewise pairwise NQD random variables and its application ⋮ 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 ⋮ Asymptotic normality and mean consistency for the weighted estimator in nonparametric regression models

Cites Work

• Some mean convergence and complete convergence theorems for sequences of \(m\)-linearly negative quadrant dependent random variables.
• A Berry-Esseen theorem for weakly negatively dependent random variables and its applications
• Exponential inequalities and complete convergence for a LNQD sequence
• Approximation Theorems of Mathematical Statistics
• EXPONENTIAL PROBABILITY INEQUALITY FOR LINEARLY NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES
• Some Concepts of Dependence
• Complete Convergence and the Law of Large Numbers

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