NOD随机阵列的若干强极限定理  

Some strong limit theorems for arrays of rowwise NOD random variables

作　　者：沈燕[1] 胡舒合[1] 王学军[1] 凌济民[1] 

机构地区：[1]安徽大学数学科学学院,合肥230039

出　　处：《兰州大学学报（自然科学版）》2012年第5期105-108,113,共5页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金项目(11171001;11201001;11126176);安徽省高等学校优秀青年人才基金项目(2010SQRL016ZD);安徽大学创新团队项目(KJTD001B);国家级大学生创新训练项目(2012003)

摘　　要：利用矩不等式,研究了NOD随机阵列的强极限定理.给出在一定矩条件和随机控制条件下NOD阵列加权和的完全收敛性的充分条件,推广了NA和NOD情形下的相关结论.By means of the moment inequality of NOD sequences, some strong limit theorems or arrays of rowwise NOD random variables were discussed. Some sufficient conditions for complete convergence under certain moment conditions and the stochastically dominated condition for arrays of rowwise NOD random variables were presented, thus extending the corresponding results on NA sequences and NOD sequences. Key words： strong limit theorem; negatively orthant dependent random variable; moment; stochastically dominated condition

关 键 词：强极限定理 NOD随机变量 矩 随机控制 

分 类 号：O221.4[理学—运筹学与控制论]