Conditionally Max-stable Random Fields based on log Gaussian Cox Processes

Abstract

We introduce a class of spatial stochastic processes in the max-domain of attraction of familiar max-stable processes. The new class is based on Cox processes and comprises models with short range dependence. We show that statistical inference is possible within the given framework, at least under some reasonable restrictions.

29 pages, 11 Figures

References in corpus (4)

• Spatial and Spatio-Temporal Log-Gaussian Cox Processes: Extending the Geostatistical Paradigm
• On Optimal Exact Simulation of Max-Stable and Related Random Fields
• On the Normalized Spectral Representation of Max-Stable Processes on a Compact Set
• Statistical Post-Processing of Forecasts for Extremes Using Bivariate Brown-Resnick Processes with an Application to Wind Gusts