ρ-混合序列Jamison型加权和的强收敛性  

Strong convergence of Jamison weighted sums for ρ-mixing sequences

作　　者：安军[1] 张晓翠[1] 

机构地区：[1]重庆工商大学理学院,重庆400067

出　　处：《重庆工商大学学报（自然科学版）》2005年第5期425-427,435,共4页Journal of Chongqing Technology and Business University:Natural Science Edition

摘　　要：设{Xn,n≥1}为同分布ρ-混合序列,EX1=0,{an,n≥1}为正实数序列,An=∑nk=1ak↑∞(n→∞),考虑Jamison型加权和Tn=A1∑k=n1akXk,在类似Jamison等(1965)的条件下,证明了Tn的强收敛性,即Tn→0,a.s.(n→∞),把已有的结论推广到了ρ-混合序列的情形.Let {Xn,n≥1}be an identically distributed ρ - mixing sequence,EX1=0,{an,n≥1}is a positire real rlumber sequence,An=n∑k=1 ak↑∞（n→∞）.In this paper, the author considers Jamison typed weighted sums Tn=1/An∑k=1 akXk.Under the conditions analogous to Jamison et al （ 1965 ）, the author proves the strong convergence of Tn, i.e.Tn→0,a.s.（n→∞）,the existed results are generalized to the case of ρ -mixing.

关 键 词：混合序列 加权和 强收敛性 

分 类 号：O211.4[理学—概率论与数理统计]