_ρ~混合阵列加权和的若干收敛性质  

Some Convergence Properties for Weighted Sums of ρ~-Mixing Random Arrays

作　　者：林影 

机构地区：[1]宁德师范学院数理学院,福建 宁德

出　　处：《理论数学》2022年第8期1341-1345,共5页Pure Mathematics

摘　　要：在Cesàro一致可积等较宽泛的条件下,利用ρ~混合序列的矩不等式和截尾法,研究了ρ~混合随机阵列加权和的Lr收敛性和弱收敛性,所得到的结果推广了独立情形相应的极限定理。Using the moment inequality of ρ~-mixing sequences and truncation method, we investigated the Lr convergence and weak convergence for the weighted sums of ρ~-mixing random arrays under mild conditions such as Cesàro uniform integrability. The results obtained generalize the corre-sponding limit theorems for independent case.

关 键 词：_ρ~混合序列 Cesàro一致可积 Lr收敛性 弱收敛性 

分 类 号：O211.4[理学—概率论与数理统计]