2012/04/25 by Richard A. Davis, Claudia Klüppelberg, Davis, Richard A. +3
Economics, Econometrics and Finance · Environmental Science · Mathematics · Social Sciences · #60G70 (Primary) 62F12 #62M10 #62M40 (Secondary) #FOS: Computer and information sciences #Insurance, Mortality, Demography, Risk Management #Methodology (stat.ME) #Soil Geostatistics and Mapping #Spatial and Panel Data Analysis #msc:60G70 #msc:62F12 #msc:62M10 #msc:62M40 #stat.ME
paper · pdf · doi:10.48550/arxiv.1204.5581
23 pages
arxiv created 2012/04/25 · openalex publication_date 2012/04/25 · arxiv updated 2012/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Max-stable processes have proved to be useful for the statistical modelling of spatial extremes. Several representations of max-stable random fields have been proposed in the literature. One such representation is based on a limit of normalized and scaled pointwise maxima of stationary Gaussian processes that was first introduced by Kabluchko, Schlather and de Haan (2009). This paper deals with statistical inference for max-stable space-time processes that are defined in an analogous fashion. We describe pairwise likelihood estimation, where the pairwise density of the process is used to estimate the model parameters and prove strong consistency and asymptotic normality of the parameter estimates for an increasing space-time dimension, i.e., as the joint number of spatial locations and time points tends to infinity. A simulation study shows that the proposed method works well for these models.