Limiting behaviour of moving average processes based on a sequence of $\rho^-$ mixing and negatively associated random variables

Let $\{Y_i,-\infty<i<\infty\}$ be a doubly infinite sequence of identically distributed $\rho^-$-mixing or negatively associated random variables, $\{a_i,-\infty<i<\infty\}$ a sequence of real numbers. In this paper, we prove the rate of convergence and strong law of large numbers for the partial sums of moving average processes $\{\sum_{i=-\infty}^\infty a_iY_{i+n},n\ge1\}$ under some moment conditions.