The limit theorems on extremes for Gaussian random fields

DOI10.1016/J.SPL.2012.10.025zbMath1269.60055OpenAlexW1975789500MaRDI QIDQ1950647

Zhongquan Tan

Publication date: 13 May 2013

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2012.10.025

zbMATH Keywords

extremesGaussian random fieldsstrongly dependentCox limit theoremGumbel type extreme limit theorem

Mathematics Subject Classification ID

Random fields (60G60) Extreme value theory; extremal stochastic processes (60G70)

Related Items (6)

Asymptotics of maxima and sums for a type of strongly dependent isotropic Gaussian random fields ⋮ Point processes of exceedances by Gaussian random fields with applications to asymptotic locations of extreme order statistics ⋮ Approximation of maximum of Gaussian random fields ⋮ On the maxima and sums of homogeneous Gaussian random fields ⋮ Almost sure asymptotics for extremes of non-stationary Gaussian random fields ⋮ An extension of almost sure central limit theorem for the maximum of stationary Gaussian random fields

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