English

Spatial risk measure for gaussian processes

Statistics Theory 2017-01-02 v2 Probability Statistics Theory

Abstract

In this paper, we study the quantitative behavior of a spatial risk measure corresponding to a damage function and a region, taking into account the spatial dependence of the underlying process. This kind of risk measure has already been introduced and studied for some max-stable processes in [Koch2015]. In this paper, we consider isotropic Gaussian processes and the excess damage function over a threshold. We performed a simulation study and a real data study.

Keywords

Cite

@article{arxiv.1612.08280,
  title  = {Spatial risk measure for gaussian processes},
  author = {M Ahmed and V Maume-Deschamps and P Ribereau and Céline Vial},
  journal= {arXiv preprint arXiv:1612.08280},
  year   = {2017}
}
R2 v1 2026-06-22T17:34:13.336Z