Some distributional limit theorems for the maxima of Gaussian vector sequences
In this paper, not only the weak convergence is considered, as in the ASCLT in Theorem 2.3 the as. convergence is at stake for extreme-order statistics from the sequences of normal random vectors, which may be stationary or not. In particular, we consider an almost sure limit theorem for the maxima. (C) 2012 Elsevier Ltd. All rights reserved.
weak convergence of extreme-order statistics almost sure convergence of extreme-order statistics normal sequence of random vectors