在這篇論文裡,我們首先複習一些前人在φ-mixing或NA和獨立的假設下關於移動平均完全收斂和完全動量收斂的結果。然後我們證明了在 是φ-mixing隨機變數一致分佈數列下移動平均過程最大部分和的完全動量收斂性。

In this thesis, we first review some previous results about
complete convergence and complete moment convergence of moving average processes under dependence ($\varphi-mixing$ or negatively associated) and independence assumption. And then we show that the complete moment convergence of the maximal partial sums of moving average processes $\{\sum_{i=-\infty}^{\infty}a_iY_{i+n},n\geq 1\}$ under the assumption that $\{Y_{i},-\infty<i<\infty\}$ is a sequence
of identically distributed $\varphi-mixing$ random variables.

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