AANA序列的一类完全收敛性  

A class of complete convergence for AANA sequences

作　　者：林影 LIN Ying(College of Mathematics and Physics,Ningde Normal University,Ningde,Fujian 352100,China)

机构地区：[1]宁德师范学院数理学院,福建宁德352100

出　　处：《宁德师范学院学报（自然科学版）》2023年第2期113-117,共5页Journal of Ningde Normal University(Natural Science)

摘　　要：研究AANA(asymptotically almost negatively associated)序列部分和的一类Prokhorov型完全收敛性.利用经典的截尾方法,以及关于AANA序列极大部分和的Rosenthal型矩不等式,获得了AANA序列部分和完全收敛性的较为广泛的充分性条件.作为推论,得到一个类似于独立同分布情形下的完全收敛性结果.We study a class of Prokhorov-type complete convergence for the partial sums of AANA(asymptotically almost negatively associated)sequences.Using the classical truncation method and Rosenthal-type moment inequality about the maximum partial sums of AANA sequences,we obtain a more extensive sufficient condition of the complete convergence for the partial sums of AANA sequences.As a corollary,we obtain a complete convergence result similar to the case of independent identical distribution.

关 键 词：AANA序列 部分和 完全收敛性 矩不等式 

分 类 号：O211.4[理学—概率论与数理统计]