Semiparametric estimation for isotropic max-stable space-time processes

Max-stable space-time processes have been developed to study extremal dependence in space-time data. We propose a semiparametric estimation procedure based on a closed form expression of the extremogram to estimate the parameters in a max-stable space-time process. We establish the asymptotic properties of the resulting parameter estimates and propose subsampling procedures to obtain asymptotically correct con dence intervals. A simulation study shows that the proposed procedure works well for moderate sample sizes. Finally, we apply this estimation procedure to tting a max-stable model to radar rainfall measurements in a region in Florida.