We prove the strong law of large numbers for weighted sums , which generalizes and improves the corresponding one for independent and identically distributed random variables and -mixing random variables. In addition, we present some results on complete convergence for weighted sums of -mixing random variables under some suitable conditions, which generalize the corresponding ones for independent random variables.
"On Complete Convergence for Weighted Sums of -Mixing Random Variables." Abstr. Appl. Anal. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/947487