作 者: (王学军); (唐徐飞); (席梦梅); (胡舒合);
机构地区: 安徽大学数学科学学院,安徽合肥230601
出 处: 《安徽大学学报(自然科学版)》 2017年第5期26-31,共6页
摘 要: 设X{n,n≥1}为被随机变量X随机控制的AANA(asymptotically almost negatively associated)随机变量序列,a{n,n≥1}是正常数列.在适当的矩条件下,研究了AANA随机变量加权和max1≤k≤n a-1n∑k i=1Xi的完全收敛性.作为该结果的应用,得到了一些关于AANA随机变量序列完全收敛性的新结果. Let {Xn,n≥ 1} be a sequence of asymptotically almost negatively associated (AANA, in short) random variables which is stochastically dominated by a random variable X , and {an,n ≥ 1} be a sequence of positive constants. Under some suitable moment conditions, we mainly studied the complete convergence for weighted sums1≤k≤nmaxa-1nk∑i-1Xiof AANA random variables. As to applications, we presented some new results on complete convergence for AANA random variables.