相依样本平滑移动过程的矩完全收敛性

摘要

In this paper,the moving average processes based on (φ)-mixing random sequence is investigated.By using moment inequality and truncation method,sufficient conditions for complete moment convergence of moving average processes based on (φ)-mixing random sequence are obtained.We improve some results in [4] and [10].%本文研究了基于(φ)-混合随机序列的平滑移动过程.利用矩不等式和截尾的方法,获得了基于(φ)-混合随机序列平滑移动过程的矩完全收敛性的充分条件,推广了文[4]和[8]的结果.