Almost sure asymptotics for extremes of non-stationary Gaussian random fields

Abstract

In this paper, the authors prove an almost sure limit theorem for the maxima of non-stationary Gaussian random fields under some mild conditions related to the covariance functions of the Gaussian fields. As the by-products, the authors also obtain several weak convergence results which extended the existing results.

Keywords

Almost sure limit theorem / Extremes / Gaussian random fields / Non-stationary

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