混合随机阵列加权和的若干收敛性质  

Some Convergence Properties for Weighted Sum of Mixing Random Arrays

作　　者：胡学平[1] 李会葆[1] HU Xue-ping;LI Hui-bao(School of Mathematics and Computation Science,Anqing Teachers College,Anqing 246133,Anhui Province,China)

机构地区：[1]安庆师范学院数学与计算科学学院,安徽安庆246133

出　　处：《吉林大学学报(理学版)》2012年第1期49-53,共5页Journal of Jilin University:Science Edition

基　　金：安徽省教育厅自然科学基金重点项目(批准号:Kj2010A234)

摘　　要：在{a_(nk),1≤k≤k_(n),n≥1}一致可积的条件下,利用ρ混合、φ混合序列矩不等式和截尾法,证明了ρ混合、φ混合阵列行加权和最大值max1≤j≤k_(n)(j∑k=1a_(nk)X_(nk)-Ej∑k=1a_(nk)X_(nk))的弱收敛、Lr收敛和完全收敛性.Using the moment inequality forρ-mixing sequences,φ-mixing sequences and truncated method,we investigated the weak convergence,the Lr convergence and the complete convergence for weighted sum max1≤j≤k_(n)(j∑k=1a_(nk)X_(nk)-Ej∑k=1a_(nk)X_(nk))ofρ-mixing arrays andφ-mixing arrays under the condition of{a_(nk),1≤k≤k_(n),n≥1}-uniform integrability.The results presented in this paper have extended and improved some results in related literature.

关 键 词：Ρ混合序列 Φ混合序列 Lr收敛 完全收敛 {a_(nk)}-一致可积 

分 类 号：O211.4[理学—概率论与数理统计]