■-混合序列加权和的收敛性质  

Convergence Properties of the Weighted Sums of -mixing Random Sequences

作　　者：杨善朝[1] 

机构地区：[1]广西师范大学数学系,桂林541004

出　　处：《应用概率统计》1995年第3期273-282,共10页Chinese Journal of Applied Probability and Statistics

摘　　要：本文在■-混合序列下给出加权和重对数律、完全收敛和强收敛的一些充分条件,这些结论简化了[6],[7]中结论的条件,推广了[8]中定理6并改进了[9]中有关结论,同时给出了加权和的Bernstein不等式.This paper establishes some sufficient conditions for the law of the iterated logarithm, the complete and almost sure convergence of the weighted sums of -mixing random sequences. These results improve the results of [6] and [7] , extend Theorem 6 of [8]. A Bernstein inequality for weighted sums is obtained.

关 键 词：Ψ-混合序列 加权和 重对数律 完全收敛 收敛 

分 类 号：O211.4[理学—概率论与数理统计]