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On limiting behavior for arrays of rowwise negatively orthant dependent random variables
Wu, Yongfeng,Ordonez Cabrera, Manuel,Volodin, Andrei 한국통계학회 2013 Journal of the Korean Statistical Society Vol.42 No.1
In this paper, the authors study limiting behavior for arrays of rowwise negatively orthant dependent random variables and obtain some new results which extend and improve the corresponding theorems by Hu, M$\acute{o}$ricz, and Taylor (1989), Taylor, Patterson, and Bozorgnia (2002) and Wu and Zhu (2010).
ON COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE INDEPENDENT RANDOM ELEMENTS
Sung Soo-Hak,Cabrera Manuel Ordonez,Hu Tien-Chung Korean Mathematical Society 2007 대한수학회지 Vol.44 No.2
A complete convergence theorem for arrays of rowwise independent random variables was proved by Sung, Volodin, and Hu [14]. In this paper, we extend this theorem to the Banach space without any geometric assumptions on the underlying Banach space. Our theorem also improves some known results from the literature.