A Comparative Tour through the Simulation Algorithms for Max-Stable Processes

Being the max-analogue of α-stable stochastic processes, max-stable processes form one fundamental classes processes. With arrival sufficient computational capabilities, they have become a benchmark in analysis spatiotemporal extreme events. Simulation is often necessary part inference certain characteristics, particular for future spatial risk assessment. In this article, we give an overview over existing procedures task, put them into perspective another and use some new theoretical results to make comparisons with respect their properties.