_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

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L^r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。

Abstract: Using the moment inequality of _ρ^~-mixing sequences and truncation method, we investigated the L^r 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.