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In insurance and finance applications, questions involving extremal events play an important role. This book sets out to bridge the gap between existing theory and practical applications both from a probabilistic as well as statistical point of view.

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Reader Guidelines.- Risk Theory.- Fluctuations of Sums.- Fluctuations of Maxima.- Fluctuations of Upper Order Statistics.- An Approach to Extremes via Point Processes.- Statistical Methods for Extremal Events.- Time Series Analysis for Heavy-Tailed Processes.- Special Topics.

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