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Extreme Values, Regular Variation and Point Processes

by Sidney I. Resnick

Springer

Paperback or Softback 320 pages Nov 26, 2007

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This book presents a readable, efficient account of 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 presents a coherent treatment of the distributional and sample path fundamental properties of extremes and records. 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.
Author:
Sidney I. Resnick
Publisher:
Springer
Publication Date:
Nov 26, 2007
Number of pages:
320 pages
Binding:
Paperback or Softback
ISBN-10:
0387759522
ISBN-13:
9780387759524