Extreme Wind Distribution Tails: A “Peaks over Threshold” Approach
Publication: Journal of Structural Engineering
Volume 122, Issue 5
Abstract
We seek to ascertain whether the reverse Weibull distribution is an appropriate extreme wind-speed model by performing statistical analyses based on the “peaks over threshold” approach. We use the de Haan method, which was found in previous studies to perform about as well or better than the Pickands and cumulative mean exceedance methods, and has the advantage of providing estimates of confidence bounds. The data are taken principally from records of the largest daily wind speeds obtained over periods of 15 to 26 years at 44 U.S. weather stations in areas not subjected to mature hurricane winds. From these records we create samples with reduced mutual correlation among the data. In our opinion, the analyses provide persuasive evidence that extreme wind speeds are described predominantly by reverse Weibull distributions, which unlike the Gumbel distribution have a finite upper tail and lead to reasonable estimates of wind load factors. Instructions are provided for accessing the data and attendant programs.
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References
1.
American National Standard A58.1-1972. (1972). Am. Nat. Standards Inst., New York, N.Y.
2.
ASCE Standard A7-93. (1993). ASCE, New York, N.Y.
3.
Bingham, N. H. (1990). “Discussion of `Models of exceedances over high thresholds,' by Davison and Smith.”J. Royal Statistical Soc., London, England, Ser. B, Vol. 52, 431.
4.
Castillo, E. (1988). Extreme value theory in engineering, Academic Press, New York, N.Y.
5.
Davison, A. C., and Smith, R. L. (1990). “Models of exceedances over high thresholds.”J. Royal Statistical Soc., London, England, Ser. B, Vol. 52, 339–442.
6.
de Haan, L. (1990). “Fighting the arch-enemy with mathematics.”Statistica Neerlandica, Vol. 44, 45–68.
7.
de Haan, L. (1994). “Extreme value statistics.”Extreme value theory and applications, Vol. 1, J. Galambos, J. Lechner, and E. Simiu, eds., Kluwer Academic Publishers, Dordrecht, The Netherlands.
8.
Ellingwood, B. et al. (1980). “Development of a probability-based load criterion for American National Standard A58.”NBS Spec. Publ. 577, Nat. Bureau of Standards, Washington, D.C.
9.
Filliben, J. J. (1975). “The probability plot correlation plot test for normality.”Technometrics, Vol. 17, 111–117.
10.
Gross, J., Heckert, A., Lechner, J. A., and Simiu, E. (1994). “Novel extreme value procedures: application to extreme wind data.”Extreme value theory and applications, Vol. 1, J. Galambos, J. Lechner, and E. Simiu, eds., Kluwer Academic Publishers, Dordrecht, The Netherlands.
11.
Gross, J. L., Heckert, N. A., Lechner, J. A., and Simiu, E. (1995). “A study of optimal extreme wind estimation procedures.”Proc., 9th Int. Conf. on Wind Engrg., Wiley Eastern Ltd., New Delhi, India.
12.
Hosking, J. R. M., and Wallis, J. R. (1987). “Parameter and quantile estimation for the generalized Pareto distribution.”Technometrics, Vol. 29, 339–349.
13.
Johnson, N. L., and Kotz, S. (1972). Distributions in statistics: continuous multivariate distributions, John Wiley & Sons, Inc., New York, N.Y.
14.
Pickands, J. (1975). “Statistical inference using order statistics.”Annals of Statistics, Vol. 3, 119–131.
15.
Simiu, E., and Heckert, N. A. (1995). “Extreme value distribution tails: a `peaks over threshold' approach.”NIST Build. Sci. Ser., Nat. Inst. of Standards and Technol. (NIST), Gaithersburg, Md.
16.
Simiu, E., and Scanlan, R. H. (1996). Wind effects on structures, 3rd Ed., Wiley-Interscience, New York, N.Y.
17.
Simiu, E., Filliben, J. J., and Biétry, J.(1978). “Sampling errors in the estimation of extreme wind speeds.”J. Struct. Div., ASCE, 104(3), 491–501.
18.
Simiu, E., Changery, M. J., and Filliben, J. J. (1979). “Extreme wind speeds at 129 stations in the contiguous United States.”NBS Build. Sci. Ser. 118, Nat. Bureau of Standards, Washington, D.C.
19.
Smith, R. L. (1989). “Extreme value theory.”Handbook of applicable mathematics, by W. Ledermann, E. Lloyd, S. Vajda, and C. Alexander, eds., John Wiley & Sons, Inc., New York, N.Y., 437–472.
20.
Thom, H. C. S. (1964). “Prediction of design and operating velocities for large steerable radio antennas.”Large steerable radio antennas—climatological and aerodynamic considerations, Annals of the New York Acad. of Sci., Vol. 116, New York, N.Y., 90–100.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 122 • Issue 5 • May 1996
Pages: 539 - 547
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: May 1, 1996
Published in print: May 1996
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