Copyright © 2009 Tien-Chung Hu and Neville C. Weber. 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.
For a sequence of dependent square-integrable random variables and
a sequence of positive constants , conditions are provided under which the series converges almost surely as
. These conditions are weaker than those provided by Hu et al. (2008).