Pareto processes for threshold exceedances in spatial extremes
Clement Dombry (UFC, LMB), Juliette Legrand (UBO, LMBA), Thomas Opitz, (BioSP)
TL;DR
This paper reviews recent advances in the theory and modeling of spatial extremes using Pareto Processes, focusing on threshold exceedances, with applications demonstrated in wave height modeling.
Contribution
It introduces a comprehensive overview of Pareto Processes for spatial extremes, including methodology for modeling, simulation, and inference, with practical application to wave height data.
Findings
Theoretical framework for Pareto Processes in spatial extremes.
Methodology for modeling and inference of threshold exceedances.
Application to wave height modeling demonstrating practical utility.
Abstract
We review some recent development in the theory of spatial extremes related to Pareto Processes and modeling of threshold exceedances. We provide theoretical background, methodology for modeling, simulation and inference as well as an illustration to wave height modelling. This preprint is an author version of a chapter to appear in a collaborative book.
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Taxonomy
TopicsStochastic processes and financial applications · Capital Investment and Risk Analysis · Reservoir Engineering and Simulation Methods