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 $\bigl \{\sum ^\infty _{i=-\infty } a_i Y_{i+n}, n\geq 1\bigr \}$. We improve the results of Baek et al. (2003) and Li and Zhang (2005).