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Limit Laws for Maxima of Contracted Stationary Gaussian Sequences (1312.2151v1)
Published 7 Dec 2013 in math.PR
Abstract: The principal results of this contribution are the weak and strong limits of maxima of contracted stationary Gaussian random sequences. Due to the random contraction we introduce a modified Berman condition which is sufficient for the weak convergence of the maxima of the scaled sample. Under a stronger assumption the weak convergence is strengthened to almost convergence.
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