Classical Extreme Value Model and Prediction of Extreme Winds
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VIEW THE REPLYPublication: Journal of Structural Engineering
Volume 125, Issue 7
Abstract
In this note, the propriety of using the Gumbel distribution for modeling of extreme wind speeds as opposed to use of the reverse Weibull distribution is discussed. It is shown that the assumption of bounded wind speeds and the subsequent implementation of the peaks over threshold method for estimating the required parameters from real data lead to contradictions, and that the Gumbel distribution at several sites serves more realistically as a model for the distribution of extreme wind speeds.
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References
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Castillo, E. (1988). Extreme value theory in engineering. Academic Press, Boston.
2.
cCastillo E., Galambos J., and Sarabia, J. M. ( 1989). “The selection of the domain of attraction of an extreme value distribution from a set of data.” Lecture notes in statistics 51, J. Hüsler and R.-D. Reiss, eds., Springer-Verlag, New York, 181–190.
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Filliben, J. J. (1975). “The probability plot correlation plot test for normality.” Technometrics, 17, 111–117.
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Galambos, J. (1987). The asymptotic theory of extreme order statistics, 2nd Ed., Krieger, Melbourne, Fla.
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Simiu, E., and Heckert, N. A. (1996). “Extreme wind distribution tails: a `peaks over threshold' approach.”J. Struct. Engrg., ASCE, 122(5), 539–547.
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Published In
Journal of Structural Engineering
Volume 125 • Issue 7 • July 1999
Pages: 792 - 794
History
Published online: Jul 1, 1999
Published in print: Jul 1999
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