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Activity Number: 530
Type: Topic Contributed
Date/Time: Thursday, August 10, 2006 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #305655
Title: Dependence Estimation and Prediction in Max-Stable Random Fields
Author(s): Daniel Cooley*+ and Philippe Naveau and Richard Davis
Companies: Colorado State University and Laboratoire des Sciences du Climat et de l'Environnement and Colorado State University
Address: Department of Statistics, Fort Collins, CO, 80523-1877,
Keywords: extreme value theory ; spatial statistics ; geostatistics ; variogram ; madogram ; kriging
Abstract:

Spatial data gives rise to two immediate questions: how to measure spatial dependence and how to perform spatial prediction. The field of geostatistics answers these questions using the variogram and kriging. However, geostatistical methods are not well-suited for extreme observations. To measure spatial dependence in max-stable random fields, we propose the madogram---a first-order variogram similar to geostatistical methods that benefits from a convenient relationship with multivariate extreme- value distributions and the extremal coefficient, an existing measure of dependence for extremes. We are working on the problem of spatial prediction and have investigated several predictors.


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