行m-NSD随机变量阵列的完全收敛性
COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE M-NSD RANDOM VARIABLES

本文研究了行m-NSD随机变量阵列的完全收敛性问题.主要利用m-NSD随机变量的Kolmogorov型指数不等式，获得了行m-NSD随机变量阵列的完全收敛性定理，将Hu等（1998）andSung等（2005）的结果从独立情形推广到了m-NSD随机变量阵列.本文的结论同样推广了Chen等（2008），Hu等（2009），Qiu等（2011）和Wang等（2014）的结果.
In this article, we study complete convergence theorems for arrays of rowwise m-negatively superadditive-dependent (m-NSD) random variables. By using Kolmogorov-type exponential inequality for m-NSD random variables, we obtain complete convergence theorems for arrays of rowwise m-NSD random variables, which generalize those on complete convergence theorem previously obtained by Hu et al. (1998) and Sung et al. (2005) from independent distributed case to m-NSD arrays. Our results also extend the corresponding results of Chen et al.(2008), Hu et al. (2009), Qiu et al. (2011) and Wang et al. (2014)