混合序列加权和的完全收敛性及a.s.收敛性

Complete Convergence and Almost Sure Convergence for Weighted Sums of -Mixing Random Variable Sequences

在新的条件下讨论了不同分布的混合序列加权和的完全收敛性,获得了混合序列完全收敛的两个充分条件及Marcinkiewicz-Zygmund型的强大数定律.

This paper discusses the complete convergence for weighted sums of ~ρ-mixing random variable sequences with different distributions under new conditions. Two sufficient conditions for the complete convergence and a MarcinkiewiczZygmund type strong law of large numbers are obtained.