A FURTHER DISCUSSION ON THE COMPLETE CONVERGENCE FOR PARTIAL SUME OF INDEPENDENT RANDOM VARIABLES

The three problems recently proposed by Hpoxopob were completely solved by Su Chun. In this paper we further investigate the relationship between these problems and moments and find that the problems proposed by Hpoxopob are just the equivalence of the convergence of series and the existence of moments under certain assumptions. The results obtained inolude most of the well-known ones and a lot of new ones.