Abstract
We make a first attempt to give an extreme value analysis of data, connected to catastrophic events. While the data are readily accessible from SWISSRE, their analysis doesn’t seem to have been taken up. A first set refers to insured claims over the last 35 years; the second deals with victims from natural catastrophes. Together these sets should provide ample proof that extreme value analysis might be able to catch some essential information that traditional statistical analysis might overlook. We finish with a number of cautious remarks.
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References
J. Beirlant, G. Dierckx, Y. Goegebeur & G. Matthys Tail index estimation and an exponential regression model. Extremes, 2: 177–200, 1999.
J. Beirlant, Y. Goegebeur, J. Segers & J.L. Teugels Statistics of Extremes: Theory and Applications J. Wiley & Sons, 2004.
J. Beirlant, E. Joossens & J. Segers Discussion of “Generalized Pareto Fit to the Society of Actuaries’ Large Claims Database” by A. Cebrian, M. Denuit & P. Lambert. North American Actuarial Journal, 8: 108–111, 2004.
D.R. Brillinger Three environmental probabilistic risk problems. Statistical Science, 18: 412–421, 2003.
M.I. El-Sabh & T.S. Murty Natural and Man-Made Hazards Proc. Intern. Symp. Rimouski, Quebec, D. Reidel Publishing Company, 1987.
A.H. El-Shaarawi & W.W. Piegorsch (ed.) Encyclopedia of Environmetrics 4 volumes, J. Wiley & Sons, Chichester, 2002.
A.H. El-Shaarawi & J.L. Teugels Environmental statistics: Current and future Proc. 2004 ISI Special Conf., Daejon, forthcoming, 2004.
B.M. Hill A simple general approach to inference about the tail of a distribution. Annals of Statistics 3: 1163–1174, 1975.
M. Kratz & S.I. Resnick The qq-estimator of the index of regular variation. Communications in Statistics: Stochastic Models, 12: 699–724, 1996.
W.W. Piegorsch & G. Casella (ed) Statistics and the Environment. Statistical Science, Special Issue, 2003.
V.F. Pisarenko & D. Sornette Characterization of the frequency of extreme events by the generalized Pareto distribution Pure and Applied Geophysics, 160: 2343–2364, 2003.
J. Schultze & J. Steinebach On least squares estimation of an exponential tail coefficient. Statistics and Decisions, 14: 353–372, 1996.
J.L. Teugels & B. Sundt (ed). Encyclopedia of Actuarial Science 3 volumes, J. Wiley & Sons, Chichester, 2004.
G.K. Zipf Human Behavior and the Principle of Least Effort: An Introduction to Human Ecology. Addison-Wesley, 1949.
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Teugels, J.L., Vandewalle, B. (2006). Statistical Analysis of Catastrophic Events. In: Coping with Uncertainty. Lecture Notes in Economics and Mathematical Systems, vol 581. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-35262-7_6
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DOI: https://doi.org/10.1007/3-540-35262-7_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35258-7
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