On the Strong Rates of Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables  

作　　者：ZHENG Lu-lu XU Chen HUANG Xu-feng WANG Xue-jun 

机构地区：[1]School of Mathematical Science, Anhui University, Hefei 230601, China

出　　处：《Chinese Quarterly Journal of Mathematics》2014年第4期592-601,共10页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China（11201001）; Supported by the Natural Science Foundation of Anhui Province（1208085QA03, 1308085QA03）; Supported by the Research Teaching Model Curriculum of Anhui University（xjyjkc1407）; Supported by the Students Science Research Training Program of Anhui University（KYXL2014017） Acknowledgement The authors are most grateful to the editor and anonymous referees for careful reading of the manuscript and valuable suggestions which helped in significantly improving an earlier version of this paper.

摘　　要：A general result on the strong convergence rate and complete convergence for arrays of rowwise extended negatively dependent random variables is established. As applications, some well-known results on negatively dependent random variables can be easily extended to the case of arrays of rowwise extended negatively dependent random variables.A general result on the strong convergence rate and complete convergence for arrays of rowwise extended negatively dependent random variables is established. As applications, some well-known results on negatively dependent random variables can be easily extended to the case of arrays of rowwise extended negatively dependent random variables.

关 键 词：extended negatively dependent random variables negatively dependent complete convergence 

分 类 号：O211.4[理学—概率论与数理统计]