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Multivariate Extreme Value Theory and D-Norms

  • Book
  • © 2019

Overview

  • Provides an easy access to multivariate extreme value theory
  • Compiles the contemporary knowledge about D-norms
  • Provides a relaxed tour through the essentials of multivariate extreme value theory
  • Develops the notion of D-Norm as a convenient tool to represent the multivariate extreme value laws of max-stable processes

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Table of contents (5 chapters)

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About this book

This monograph compiles the contemporary knowledge about D-norms and provides an introductory tour through the essentials of multivariate extreme value theory. Following a clear introduction of D-norms, this book introduces links with the theory through multivariate generalized Pareto distributions and max stable distributions. Further views on D-norms from a functional analysis perspective and from stochastic geometry underline the aim of this book to reveal mathematical structures. This book is intended for mathematicians with a basic knowledge of analysis and probability theory, including Fubini's theorem. 

Reviews

“This interesting monograph contains an excellent, almost complete account of the contemporary knowledge about D-norms. … The book can be used as textbook for course on METV.” (Wiesław Dziubdziela, zbMATH 1428.60002, 2020)

Authors and Affiliations

  • Fakultät für Mathematik und Informatik, Universität Würzburg, Würzburg, Germany

    Michael Falk

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