Since many developments to the functional extreme value theory have been made during the last decades, this paper reviews recent results on max-stable processes and covers a large range of themes such as finite dimensional distributions, parametric models, dependence measure, inferential procedure, model selection and (conditional) simulations. An application to the spatial modeling of wind gusts in Netherlands is given.
De nombreux progrès ont été accomplis ces dernières décennies sur la théorie des valeurs extrêmes fonctionnelle. Dans ce papier nous regroupons les résultats principaux concernant les processus max-stables. Ainsi cette revue de littérature couvre une gamme variée de domaines : lois fini-dimensionnelles, modèles paramétriques, mesures de dépendance, procédure inférentielles, sélection de modèles et simulations (conditionnelles). Une application à la modélisation spatiale des rafales de vents aux Pays-bas est donnée.
Mot clés : Processus max-stable, Fonction du coefficient extrême, Vraisemblance composite, Simulation
@article{JSFS_2013__154_2_156_0, author = {Ribatet, Mathieu}, title = {Spatial extremes: {Max-stable} processes at work}, journal = {Journal de la soci\'et\'e fran\c{c}aise de statistique}, pages = {156--177}, publisher = {Soci\'et\'e fran\c{c}aise de statistique}, volume = {154}, number = {2}, year = {2013}, mrnumber = {3120441}, zbl = {1316.62141}, language = {en}, url = {http://archive.numdam.org/item/JSFS_2013__154_2_156_0/} }
TY - JOUR AU - Ribatet, Mathieu TI - Spatial extremes: Max-stable processes at work JO - Journal de la société française de statistique PY - 2013 SP - 156 EP - 177 VL - 154 IS - 2 PB - Société française de statistique UR - http://archive.numdam.org/item/JSFS_2013__154_2_156_0/ LA - en ID - JSFS_2013__154_2_156_0 ER -
Ribatet, Mathieu. Spatial extremes: Max-stable processes at work. Journal de la société française de statistique, Volume 154 (2013) no. 2, pp. 156-177. http://archive.numdam.org/item/JSFS_2013__154_2_156_0/
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