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ON THE CONVERGENCE OF SERIES FOR ROWWISE SUMS OF NEGATIVELY SUPERADDITIVE DEPENDENT RANDOM VARIABLES
Huang, Haiwu,Zhang, Qingxia Korean Mathematical Society 2020 대한수학회보 Vol.57 No.3
In the paper, some probability convergence properties of series for rowwise sums of negatively superadditive dependent (NSD) random variables are discussed. We establish some sharp results on these convergence for NSD random variables under some general settings, which generalize and improve the corresponding ones of some known literatures.
On the convergence of series for rowwise sums of negatively superadditive dependent random variables
Haiwu Huang,Qingxia Zhang 대한수학회 2020 대한수학회보 Vol.57 No.3
In the paper, some probability convergence properties of series for rowwise sums of negatively superadditive dependent (NSD) random variables are discussed. We establish some sharp results on these convergence for NSD random variables under some general settings, which generalize and improve the corresponding ones of some known literatures.
Huang, Haiwu,Zhang, Qingxia Korean Mathematical Society 2019 대한수학회보 Vol.56 No.4
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 [2], Wang et al. [17] and Shen [14], but also improve them, respectively.
Haiwu Huang,Qingxia Zhang 대한수학회 2019 대한수학회보 Vol.56 No.4
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.