Extreme values, regular variation and point processes
Author(s)
Bibliographic Information
Extreme values, regular variation and point processes
（Springer series in operations research and financial engineering）
Springer, c2008
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Note
"First printing, Hardcover, 'Applied probability', Vol. 4, c1987." --T.p. verso
Includes bibliographical references and index
Description and Table of Contents
Description
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.
Table of Contents
0 Preliminaries.- 1 Domains of Attraction and Norming Constants.- 2 Quality of Convergence.- 3 Point Processes.- 4 Records and Extremal Processes.- 5 Multivariate Extremes.- References.
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