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math.ST2024
Pareto processes for threshold exceedances in spatial extremes
Clement Dombry, Juliette Legrand, Thomas Opitz
We review some recent development in the theory of spatial extremes related to Pareto Processes and modeling of threshold exceedances. We provide theoretical background, methodolog…
math.ST2023
On the perimeter estimation of pixelated excursion sets of 2D anisotropic random fields
Ryan Cotsakis, Elena Di Bernardino, Thomas Opitz
We are interested in creating statistical methods to provide informative summaries of random fields through the geometry of their excursion sets. To this end, we introduce an estim…