The statistical analysis of extremes is becoming more and more prevalent as we observe increasing levels of variability and turbulence, both in the natural world, and within social organizations such as commercial and financial institutions. In this book, full coverage is given to the analysis of extreme value data using R, providing the reader with the best starting point for analyzing data when the aim is inference about extreme values of the underlying process. The main topics in extreme value analysis are featured, together with a clear practical guide on how to implement the relevant statistical analysis using R. The book is aimed at those needing to carry out extreme value analyses, examples used will be taken from applications in engineering, reliability studies and in financial analysis where extremes are of interest (e.g. insurance/reinsurance).
This is a self-contained introduction to parametric modeling, exploratory analysis and statistical interference for extreme values, as used in disciplines from hydrology to finance to environmental science.
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.
Directly oriented towards real practical application, this book develops both the basic theoretical framework of extreme value models and the statistical inferential techniques for using these models in practice.
Version 4.0 of this text is now available! Purchase this version only if you know it is what you want/need. A Calculus text which begins with the basic concepts of...
Multivariate extreme value (EV) distributions are introduced as limiting distributions of componentwise taken maxima. In contrast to the univariate case, the resulting statistical model is a nonparametric one. Some basic properties and ...
M. Falk, J. Hiisler, and R.-D. Reiss: Laws of Small Numbers: Extremes and Rare Events. Birkhauser, Basel (1994). W. Feller: An Introduction to Probability Theory and Its Applications. Vol.1, 3rd edition, John Wiley & Sons, ...
STATISTICS OF EXTREME VALUES
Nandagopalan, S. (1990), Multivariate extremes and the estimation of the extremal index. Ph.D. dissertation, Department of ... Smith, R. L. (1986), Extreme value theory based on the r largest annual events. J. Hydrology 86, 27–43.
This volume of the Selected Papers from Portugal is a product of the Seventeenth Congress of the Portuguese Statistical Society, held at the beautiful resort seaside city of Sesimbra, Portugal, from September 30 to October 3, 2009.
20, 779–796. Falk, M., Hüsler, J. and Reiss, R.—D. (1994), Laws of Small Numbers: Extremes and Rare Events. Birkhäuser DMV-Seminar, Birkhäuser, Basel, to appear. Galambos, J. (1987), The Asymptotic Theory of Extreme Order Statistics.