Asymptotic Independence Models

This lecture covers the theory of asymptotic independence models, focusing on extremal limit theorems, point processes, and applications in multivariate extremes. The instructor discusses the concept of asymptotic independence and its implications for extrapolating probabilities to rare events. Various models, such as the Heffernan-Tawn model, are introduced to describe asymptotic independence and dependence. The lecture emphasizes the importance of distinguishing between these two concepts and provides practical methods for fitting and estimating parameters in such models.