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This lecture covers the theory of extremal limit theorems, basic statistical analysis, and applications related to point processes, Gaussian process, Poisson process, multivariate extremes, and asymptotic independence models. The instructor discusses the basis for extrapolation of probabilities to rare events and the limitations of the theory in practical applications. Various examples, including oceanographic data, are used to illustrate the concepts of asymptotic dependence and independence, highlighting the importance of accurate modeling for extremal events.
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