scholarly journals Random field solutions to linear SPDEs driven by symmetric pure jump Lévy space-time white noises

2019 ◽  
Vol 24 (0) ◽  
Author(s):  
Robert C. Dalang ◽  
Thomas Humeau
Keyword(s):  
2018 ◽  
Vol 95 ◽  
pp. 203-216 ◽  
Author(s):  
Fred Espen Benth ◽  
Florentina Paraschiv

2006 ◽  
Vol 43 (01) ◽  
pp. 114-126
Author(s):  
K. F. Turkman

Let {X( s , t), s = (s 1, s 2) ∈ ℝ2, t ∈ ℝ} be a stationary random field defined over a discrete lattice. In this paper, we consider a set of domain of attraction criteria giving the notion of extremal index for random fields. Together with the extremal-types theorem given by Leadbetter and Rootzen (1997), this will give a characterization of the limiting distribution of the maximum of such random fields.


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