Department of Applied Mathematics, Pai Chai University, Taejon 302-735, South Korea
Copyright © 2009 Soo Hak Sung. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let and be sequences of random variables. For any and , bounds for and are obtained. From these results, we establish general
methods for obtaining the complete moment convergence. The results
of Chow (1988), Zhu (2007), and Wu and Zhu (2009) are
generalized and extended from independent (or dependent) random
variables to random variables satisfying some mild conditions.
Some applications to dependent random variables are discussed.