Copyright © 2010 Shengli Zhao et al. 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 (, ) be a standardized nonstationary Gaussian sequence. Let
max denote the partial maximum and for the partial sum with
(Var . In this paper, the almost sure convergence of (, ) is derived under
some mild conditions.