234 citations
- Institut de Mathématiques de MarseilleFR14 papers
- Institut National de Recherche pour l'Agriculture, l'Alimentation et l'EnvironnementFR13 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- Aix-Marseille UniversitéFR8 papers
- Centre de Recherche en Mathématiques de la DécisionFR6 papers
- Institut Polytechnique de BordeauxFR6 papers
- Institut National de la Recherche AgronomiqueMA5 papers
- Laboratoire de Mathématiques Blaise PascalFR5 papers
- Laboratoire de Mathématiques d'AvignonFR5 papers
- Château GombertFR4 papers
- Institut de Mécanique et d'Ingénierie de BordeauxFR4 papers
- Laboratoire de Mathématiques Raphaël SalemFR4 papers
6 papers · 1 filter
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…
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…
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…
Geostatistics for large datasets on Riemannian manifolds: a matrix-free approach
Mike Pereira, Nicolas Desassis, Denis Allard
Large or very large spatial (and spatio-temporal) datasets have become common place in many environmental and climate studies. These data are often collected in non-Euclidean space…
Quick inference for log Gaussian Cox processes with non-stationary underlying random fields
Jiří Dvořák, Jesper Møller, Tomáš Mrkvička +1
For point patterns observed in natura, spatial heterogeneity is more the rule than the exception. In numerous applications, this can be mathematically handled by the flexible class…