Original article at: http://www.math.washington.edu/~ejpecp/ECP/viewarticle.php?id=2092

An Almost Sure Limit Theorem For the Maxima of Strongly Dependent Gaussian Sequences

Fuming Lin, Sichuan University of Science and Engineering

Abstract

In this paper, we prove an almost sure limit theorem for the maxima of strongly dependent Gaussian sequences under some mild conditions. The result is an expansion of the weakly dependent result of E. Csáki and K. Gonchigdanzan.

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Original article at: http://www.math.washington.edu/~ejpecp/ECP/viewarticle.php?id=2092