Complete Convergence of Weighted Sums for ρ*-Mixing Sequence of Random Variables

摘要

In this paper,the complete convergence of weighted sums for ρ*-mixing sequence of random variables is investigated.By applying moment inequality and truncation methods,the equivalent conditions of complete convergence of weighted sums for ρ*-mixing sequence of random variables are established.We not only promote and improve the results of Li et al.(J.Theoret.Probab.,1995,8(1):49-76) from i.i.d.to ρ*-mixing setting but also obtain their necessities and relax their conditions.