Event
Claudia Kl眉ppelberg, Technische Universit盲t M眉nchen
Tuesday, September 5, 2017 15:30to16:30
Semiparametric estimation of space-time extremes
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 based on a CLT for the empirical extremogram. We also propose subsampling procedures to obtain asymptotically correct confidence intervals. A simulation study shows that the proposed procedure works well for moderate sample sizes. Finally, we apply this estimation procedure to fitting a max-stable model to radar rainfall measurements in a region in Florida.
This is joint work with Sven Buhl, Richard Davis, and Christina Steinkohl.[1] Buhl, S., Davis, R.A., Kl眉ppelberg, C. and Steinkohl, C. (2016)Semiparametric estimation for isotropic max-stable space-time processes.Under revision.[2] Buhl, S. and Kl眉ppelberg, C. (2016)Limit theory for the empirical extremogram of random fields.Under revision.
This is joint work with Sven Buhl, Richard Davis, and Christina Steinkohl.[1] Buhl, S., Davis, R.A., Kl眉ppelberg, C. and Steinkohl, C. (2016)Semiparametric estimation for isotropic max-stable space-time processes.Under revision.[2] Buhl, S. and Kl眉ppelberg, C. (2016)Limit theory for the empirical extremogram of random fields.Under revision.
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Lecture Chaire Andr茅 Aisenstadt
HEC Montr茅al, 3000, Chemin de la C么te-Sainte-Catherine, Salle Transat (jaune), 1er 茅tage
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