摘要
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)and Sung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）.
出处
《数学杂志》
北大核心
2017年第5期889-897,共9页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(71271042
11361019)
Research Project of Guangxi High Institution(YB2014150)
