Complete moment convergence of moving average processes under dependence assumptions

Let {Yi;-[infinity]<i<[infinity]} be a doubly infinite sequence of identically distributed and [phi]-mixing random variables with zero means and finite variance and {ai;-[infinity]<i<[infinity]} an absolutely summable sequence of real numbers. In this paper, we prove the complete moment convergence of under some suitable conditions, i.e., we extend Theorem 1.1 of Li and Zhang [Li, Y.X., Zhang, L.X., 2004. Complete moment convergence of moving average processes under dependence assumptions. Statist. Probab. Lett. 70, 191-197] to the [phi]-mixing case.