In the present paper, we have established the complete convergence for weighted sums of pairwise independent random variables, from which the rate of convergence of moving average processes is deduced.
@article{bwmeta1.element.doi-10_1515_math-2017-0044, author = {Li Ge and Sanyang Liu and Yu Miao}, title = {Complete convergence for weighted sums of pairwise independent random variables}, journal = {Open Mathematics}, volume = {15}, year = {2017}, pages = {467-476}, zbl = {06715920}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0044} }
Li Ge; Sanyang Liu; Yu Miao. Complete convergence for weighted sums of pairwise independent random variables. Open Mathematics, Tome 15 (2017) pp. 467-476. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0044/