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On the spatial extent of extreme threshold exceedances
Ryan Cotsakis, Elena Di Bernardino, Thomas Opitz
We introduce the extremal range, a local statistic for studying the spatial extent of extreme events in random fields on . Conditioned on exceedance of a high thresho…
Assessing the size of spatial extreme events using local coefficients based on excursion sets
Ryan Cotsakis, Elena Di Bernardino, Thomas Opitz
Extreme events arising in georeferenced processes can take various forms, such as occurring in isolated patches or stretching contiguously over large areas, and can further vary wi…
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…