摘要
对每一n≥1,{X_(nj),1≤j≤k_n→∞}为具有相同的整数M和函数φ的强φ-mixing,1≤k≤k_n→∞ε>0,当n→∞时则对某些常数A(nk),有,当且仅当,n→∞,此处,k=1,…,k_n.n_n→∞.
For each n≥1, let {X_(nl), 1≤j≤k_n→∞} be strong φ-mixing, there exist an common integer M and a function φ, S_(nk)=X_(nj), 1≤k≤k_n→∞, ε>0, P{max|X_(nj)|≥ε}=0(1), as n→∞. Then for some real numbers A_(nk), max P{|S_(nk)-A_(nk)|≥ε}→0 as n→∞, iff max, in which case.
出处
《苏州大学学报（自然科学版）》
CAS
1991年第4期357-365,共9页
Journal of Soochow University(Natural Science Edition)
关键词
Φ-MIXING
几乎必然收敛
概率收敛
φ-mixing
Strong φ-mixing
almost sure convergence
convergence in probability
