Laws of Small Numbers: Extremes and Rare Events

Since the publication of the first edition of this seminar book in 1994, the theory and applications of extremes and rare events have enjoyed an enormous and still increasing interest. The intention of the book is to give a mathematically oriented development of the theory of rare events underlying...

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Bibliographic Details
Main Authors: Falk, Michael, Hüsler, Jürg (Author), Reiss, Rolf-Dieter (Author)
Format: eBook
Language:English
Published: Basel Springer Basel 2011, 2011
Edition:3rd ed. 2011
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Functional Laws Of Small Numbers
  • 1 Functional Laws of Small Numbers
  • 2 Extreme Value Theory
  • 3 Estimation of Conditional Curves
  • Part II. The IID Case: Multivariate Extremes
  • 4 Basic Theory of Multivariate Maxima
  • 5 Multivariate Generalized Pareto Distributions
  • 6 The Pickands Approach in the Bivariate Case
  • 7 Multivariate Extremes: Supplementary Concepts and Results
  • Part III. Non-IID Observations
  • 8 Introduction to the Non-IID Case
  • 9 Extremes of Random Sequences
  • 10 Extremes of Gaussian Processes
  • 11 Extensions for Rare Events
  • 12 Statistics of Extremes
  • Author Index
  • Subject Index
  • Bibliography