AANA随机变量阵列加权和的完全收敛性（英文）  

Complete Convergence for Weighted Sums of Arrays of Rowwise Asymptotically Almost Negative Associated Random Variables

作　　者：葛梅梅[1] 王学军[2] 

机构地区：[1]滁州学院数学与金融学院,滁州239000 [2]安徽大学数学科学学院,合肥230601

出　　处：《应用概率统计》2016年第5期489-498,共10页Chinese Journal of Applied Probability and Statistics

基　　金：supported by the Natural Science Foundation of Anhui Province(1508085J06,1608085QA02);the Key Projects for Academic Talent of Anhui Province(gxbjZD2016005);the Science Research Project of Chuzhou University(2015GH35);the Quality Engineering Project of Anhui Province(2015jyxm045);the Quality Improvement Project for Undergraduate Education of Anhui University(ZLTS2015035)

摘　　要：设{X_(ni),i≥1,n≥1}是AANA随机变量阵列.在一些较为广泛的矩条件下,研究了AANA随机变量阵列加权和的完全收敛性.所得结果推广和改进了NA变量的相应结果.Let {Xni,i≥1,n≥1} be an array of rowwise asymptotically almost negative associated （AANA, in short） random variables. The complete convergence for weighted sums of arrays of rowwise AANA random variables is established under some general moment conditions. The result obtained in the paper generalizes and improves the corresponding one for negatively associated random variables.

关 键 词：加权和 AANA阵列 完全收敛性 

分 类 号：O211.4[理学—概率论与数理统计]