Complete and complete moment convergence for weighted sums of ρ? -mixing random variables

摘要

In this paper, we establish complete convergence results and a complete moment convergenceresult and prove the equivalence of them for weighted sums of ρ? -mixing random variables.Our results generalize and improve the results of Baum and Katz(1965) and Peligrad andGut (1999). As an application, we obtain the Marcinkiewicz-Zygmund type strong law of largenumbers for weighted sums of ρ? -mixing random variables.