Limiting behaviour of moving average processes under [phi]-mixing assumption

Let {Yi,-[infinity]<i<[infinity]} be a doubly infinite sequence of identically distributed [phi]-mixing random variables, {ai,-[infinity]<i<[infinity]} be an absolutely summable sequence of real numbers. In this paper we prove the complete convergence and Marcinkiewicz-Zygmund strong law of large numbers for the partial sums of moving average processes based on the sequence {Yi,-[infinity]<i<[infinity]} of [phi]-mixing random variables, improving the result of [Zhang, L., 1996. Complete convergence of moving average processes under dependence assumptions. Statist. Probab. Lett. 30, 165-170].