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Let {Yi,−∞ < i < ∞} be a doubly infinite sequence of identically distributed negatively associated random variables, and {ai,−∞ < i < ∞} 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 {∑∞ i=−∞ aiYi+n, n ≥ 1 } . We improve the results of Baek et al. (2003) and Li and Zhang (2005).

Limiting behaviour of moving average processes under negative association assumption