Bulletin of the
Korean Mathematical Society BKMS

In the present work, the complete convergence and complete moment convergence properties for arrays of rowwise extended negatively dependent (END) random variables are investigated. Some sharp theorems on these strong convergence for weighted sums of END cases are established. These main results not only generalize the known corresponding ones of Cai \cite{2}, Wang et al.~\cite{17} and Shen \cite{14}, but also improve them, respectively.

Keywords: arrays of rowwise END random variables, complete convergence, complete moment convergence, weighted sums

MSC numbers: 60F15

Supported by: This paper is supported by the Humanities and Social Sciences Foundation for the Youth Scholars of Ministry of Education of China (15YJCZH066), the Science and Technology Plan Project of Hunan Province (2016TP1020), the Science and Technology Plan Project of Hengyang City (2017KJ183), Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469), Hunan Provincial Natural Science Foundation of China (2018JJ2006; 2018JJ4024), the National Statistical Science Research Project of China (2018LY05) and the Scientic Research Fund of Hunan Provincial Education Department (17A030; 18C0660)