Estimating Extremal Processes

This lecture covers the motivation behind extremal limit theorems, basic statistical analysis, and applications of extremal processes in various fields such as spatial and space-time problems. It explores the estimation of extreme values, fitting models, and simulating rare events. The instructor discusses the statistical analysis of time series and multivariate extremes, focusing on models suitable for spatial problems and asymptotic independence. The lecture also delves into the Poisson process model in the multivariate case, providing insights into the computation of distributions and the modeling of extreme events.