This book examines the fundamental mathematical and stochastic
process techniques needed to study the behavior of extreme values
of phenomena based on independent and identically distributed
random variables and vectors. It emphasizes the core primacy of
three topics necessary for understanding extremes: the analytical
theory of regularly varying functions; the probabilistic theory of
point processes and random measures; and the link to asymptotic
distribution approximations provided by the theory of weak
convergence of probability measures in metric spaces.
General
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