On the convergence for PNQD sequences with general moment conditions  

作　　者：XIAO Juan QIU De-hua 

机构地区：[1]School of Mathematics and Statistics,Hengyang Normal University,Hengyang 421008,China [2]School of Statistics and Mathematics,Guangdong University of Finance and Economics,Guangzhou 510320,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2020年第2期184-192,共9页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(No.11271161).

摘　　要：Let fX;Xn;n≥1g be a sequence of identically distributed pairwise negative quadrant dependent(PNQD)random variables and fan;n1g be a sequence of positive constants with an=f(n)and f(θ^k)=f(θ^k-1)for all large positive integers k,where 1<θ≤βand f(x)>0(x≥1)is a non-decreasing function on[b;+1)for some b≥1:In this paper,we obtain the strong law of large numbers and complete convergence for the sequence fX;Xn;n≥1g,which are equivalent to the general moment conditionΣ∞n=1P(|X|>an)<1.Our results extend and improve the related known works in Baum and Katz[1],Chen at al.[3],and Sung[14].

关 键 词：pairwise negative quadrant dependent(PNQD)random variable strong law of large numbers complete convergence general moment condition 

分 类 号：O211.4[理学—概率论与数理统计]