行向扩展负相依随机变量阵列的完全矩收敛和均值收敛
Complete moment convergence and mean convergence for arrays of rowwise extended negatively dependent random variables.
作者信息
Wu Yongfeng, Song Mingzhu, Wang Chunhua
机构信息
College of Mathematics and Computer Science, Tongling University, Tongling 244000, China.
Department of Mathematics and Physics, Anhui Traditional Chinese Medical College, Hefei 230051, China.
出版信息
ScientificWorldJournal. 2014 Feb 5;2014:478612. doi: 10.1155/2014/478612. eCollection 2014.
The authors first present a Rosenthal inequality for sequence of extended negatively dependent (END) random variables. By means of the Rosenthal inequality, the authors obtain some complete moment convergence and mean convergence results for arrays of rowwise END random variables. The results in this paper extend and improve the corresponding theorems by Hu and Taylor (1997).
作者首先给出了关于扩展负相依（END）随机变量序列的一个罗森塔尔不等式。借助该罗森塔尔不等式，作者得到了关于行向END随机变量阵列的一些完全矩收敛和均值收敛结果。本文的结果扩展并改进了Hu和Taylor（1997）的相应定理。
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