强混合序列加权和及部分和之和乘积的几乎处处中心极限定理的推广  

Promotion of strong mixing sequences weighted sum and products of sums of partial sums almost sure central limit theorem

作　　者：郝晓春 吴群英[1] HAO Xiao-chun;WU Qun-ying(College of Science,Guilin University of Technology,Guilin 541004,China)

机构地区：[1]桂林理工大学理学院,广西桂林541004

出　　处：《桂林理工大学学报》2018年第1期150-154,共5页Journal of Guilin University of Technology

基　　金：国家自然科学基金项目(11661029);广西自然科学基金项目(2015GXNSFAA139008)

摘　　要：设{X,X_n,n≥1}为同分布的强混合正随机变量序列,利用混合序列加权和的中心极限定理及矩不等式,获得了权重为dk=k-1exp{lnαk}(0≤α<1/2)的强混合序列加权和及部分和之和乘积的几乎处处中心极限定理。Let{X,X n,n≥1}be identically distributed in strong positive mixing random variable sequence.On the basis of which almost sure central limit theorem with weight d k=k-1 exp{lnαk}(0≤α<1/2)was obtained for weighted sum and product of sums of partial sums by virtue of central limit theorem of weighted sums and the moment inequality.

关 键 词：强混合序列 部分和之和乘积 几乎处处中心极限定理 

分 类 号：O211.4[理学—概率论与数理统计]