【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.更多还原

【Abstract】 Let ｛X_n,n≥1｝ be an identically distributed ρ-mixing sequence,EX₁=0,｛a_n,n≥1｝ is a positive real number sequence,A_n=∑nk=1a_k∞（n∞）.In this paper,the author considers Jamison typed weighted sums T_n=1A∑nk=1a_kX_k.Under the conditions analogous to Jamison et al（1965）,the author proves the strong convergence of T_n,i.e.T_n0,a.s.（n∞）,the existed results are generalized to the case of ρ-mixing.更多还原