Limiting behaviour of moving average processes under negative association assumption

Let $\{Y_i, -\infty<i<\infty\}$ be a doubly infinite sequence of identically distributed negatively associated random variables, and $\{a_i, -\infty<i<\infty\}$ an absolutely summable sequence of real numbers. In this paper, we prove the complete convergence and complete moment convergence of the maximum partial sums of moving average processes $\bigl\{\sum^\infty_{i=-\infty} a_i Y_{i+n}, n\geq1\bigr\}$. We improve the results of Baek et al. (2003) and Li and Zhang (2005).