Asymptotic behaviour of mean uniform norms for sequences of Gaussian processes and fields

DOI10.1007/S10687-006-7965-XzbMath1120.60039OpenAlexW1991081107MaRDI QIDQ881405

Oleg Seleznjev

Publication date: 29 May 2007

Published in: Extremes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10687-006-7965-x

zbMATH Keywords

extreme valuesGaussian processuniform normGaussian field

Mathematics Subject Classification ID

Gaussian processes (60G15) Extreme value theory; extremal stochastic processes (60G70) (L^p)-limit theorems (60F25)

Related Items (7)

Limit theorems for extremes of strongly dependent cyclo-stationary \(\chi \)-processes ⋮ Approximation of maximum of Gaussian random fields ⋮ Extremes and limit theorems for difference of chi-type processes ⋮ On Piterbarg max-discretisation theorem for standardised maximum of stationary Gaussian processes ⋮ Exact asymptotics and limit theorems for supremum of stationary \(\chi\)-processes over a random interval ⋮ Asymptotics of Maxima of Strongly Dependent Gaussian Processes ⋮ Extremes of order statistics of stationary processes

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• Limit theorems for maxima and crossings of a sequence of Gaussian processes and approximation of random processes
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