Geodesic
Limiting behaviour of moving average processes based on a~sequence of $\rho^-$ mixing and negatively associated random variables
Lobachevskii journal of mathematics, Tome 26 (2007), pp. 17-25

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Let $\{Y_i,-\infty$ be a doubly infinite sequence of identically distributed $\rho^-$-mixing or negatively associated random variables, $\{a_i,-\infty$ 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. 
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     author = {K. Budsaba and P. Chen and A. I. Volodin},
     title = {Limiting behaviour of moving average processes based on a~sequence of $\rho^-$ mixing and negatively associated random variables},
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     pages = {17--25},
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     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_2007_26_a2/}
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K. Budsaba; P. Chen; A. I. Volodin. Limiting behaviour of moving average processes based on a~sequence of $\rho^-$ mixing and negatively associated random variables. Lobachevskii journal of mathematics, Tome 26 (2007), pp. 17-25. http://geodesic.mathdoc.fr/item/LJM_2007_26_a2/