1 citations · 1 across the 4 of their papers we have counts for
6 papers
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…
On the Euler-Poincaré Characteristic of the planar Berry's random wave: fluctuations and a perturbation study
Elena Di Bernardino, Radomyra Shevchenko, Anna Paola Todino
We prove the Central Limit Theorem for the Euler-Poincaré characteristic of Berry's random wave model in a growing domain. We also show Gaussian fluctuations for a class of Berry's…
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…
Estimation of extreme -multivariate expectiles with functional covariates
Elena Di Bernardino, Thomas Laloë, Cambyse Pakzad
The present article is devoted to the semi-parametric estimation of multivariate expectiles for extreme levels. The considered multivariate risk measures also include the possible…
Surface area and volume of excursion sets observed on point cloud based polytopic tessellations
Ryan Cotsakis, Elena Di Bernardino, Céline Duval
The excursion set of a smooth random field carries relevant information in its various geometric measures. From a computational viewpoint, one never has access to the continu…
On the excursion area of perturbed Gaussian fields
Elena Di Bernardino, Anne Estrade, Maurizia Rossi
We investigate Lipschitz-Killing curvatures for excursion sets of random fields on under small spatial-invariant random perturbations. An expansion formula for mean c…