TECHNICAL PAPERS
Apr 1, 1989

New Method for Prediction of Extreme Wind Speeds

Publication: Journal of Engineering Mechanics
Volume 115, Issue 4

Abstract

The problem of extreme wind prediction for determination of design wind speed is considered. Drawbacks of the presently used method based on the classical extreme-value theory are pointed out, and a step toward better statistical treatment of data is presented. The new procedure, which is based on estimating the tail of a probability distribution, forms a powerful and flexible class of alternatives to the traditional methods. Here, rather than the annual maxima, all the large values are included in the analysis, regardless of their occurrence time. For the parametric family of distributions involved (which take only three forms, like the classical extreme-value theory), the available estimating methods are described, and an illustrating example is presented using a set of published data. The general advantages of the procedure over the subsample method developed by Gumbel are examined.

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References

1.
Benjamin, J. R., and Cornell, C. A. (1970). Probability, statistics and decision for civil engineers. McGraw‐Hill Book Co., Inc., New York, N.Y.
2.
Csörgö, S., et al. (1985). “Kemel estimates of the tail index of a distribution.” Annals of Statistics, 13, 1050–1077.
3.
Davenport, A. G. (1978). “Wind structure and wind climate.” Int. res. seminar on safety of struct. under dynamic loading. I. Holand et al., Eds., Trondheim, Tapir, 238–256.
4.
Davis, R. A., and Resnick, S. I. (1984). “Tail estimates motivated by extreme value theory.” Annals of Statistics, 12, 1467–1487.
5.
Du Mouchel, W. (1983). “Estimating the stable index α in order to measure tail thickness.” Annals of Statistics, 11, 1019–1036.
6.
The flood studies report. (1975). The Natural Envir. Res. Council, London, England.
7.
Grigoriu, M., et al. (1986). “Estimattion of transmission line design wind speeds from limited data.” IEEE Trans. on Power Systems.PWRD‐1(2), 216–219.
8.
Gumbel, E. J. (1958). Statistics of extremes. Columbia University Press, New York, N.Y.
9.
Häusler, E., and Teugels, J. L. (1985). “On asymptotic normality of Hill's estimator for the exponent of regular variation.” Annals of Statistics, 13, 743–756.
10.
Hall, P. (1982a). “On some simple estimates of an exponent of regular variation.” J. Royal Statistical Soc., B44, 37–42.
11.
Hall, P. (1982b). “On estimating the endpoint of a distribution.” Annals of Statistics, 10, 556–568.
12.
Hall, P., and Welsh, A. H. (1984). “Best attainable rates of convergence for estimates of parameters of regular variation.” Annals of Statistics, 12, 1079–1984.
13.
Hall, P., and Welsh, A. H. (1985). “Adaptive estimates of parameters of regular variation.” Annals of Statistics, 13, 331–341.
14.
Hill, B. M. (1975). “A simple general approach to inference about the tail of a distribution.” Annals of Statistics, 3, 1163–1174.
15.
Hogg, R. V., and Tanis, E. A. (1983). Probability and statistical inference. 2nd ed., Macmillan, New York, N.Y.
16.
Leadbetter, M. R., et al. (1983). Extremes and related properties of random sequences and processes. Springer‐Verlag, New York, N.Y.
17.
North, M. (1980). “Time‐dependent stochastic models of floods.” J. Hydr. Div., ASCE, 106(5), 649–655.
18.
Pickands, J. (1975). “Statistical inference using extreme order statistics.” Annals of Statistics.3, 119–131.
19.
Revfeim, K. J. A. (1982). “Seasonal patterns in extreme 1‐hr. rainfalls.” Water Resour. Res., 18, 1741–1744.
20.
Revfeim, K. J. A. (1983). “On the analysis of extreme rainfalls.” J. Hydrology, 62, 107–117.
21.
Revfeim, K. J. A., and Hessell, J. W. D. (1984). “More realistic distributions for extreme winds gusts.” Quart. J. Royal Meteorological Soc., 110, 505–514.
22.
Simiu, E., and Filliben, J. J. (1976). “Probability distribution of extreme wind speeds.” J. Struct. Div., ASCE, 102(9), 1012–1013.
23.
Smith, R. L. (1987). “Estimating tails of probability distributions.” Annals of Statistics, 15, 1174–1207.
24.
Smith, R. L., and Weismann, I. (1985). “Maximum likelihood estimation of the lower tail of a probability distribution.” J. Royal Statistical Soc., B(47), 285–298.
25.
Todorovic, P. (1978). “Stochastic models of floods.” Wat. Resour. Res., 14, 345–356.
26.
Todorovic, P. (1979). “A probabilistic approach to analysis and prediction of floods.” Proc. Int. Statistical Inst., 1, 113–124.
27.
Weissman, I. (1978). “Estimation of parameters and large quantiles based on the k largest observations.” J. Am. Statistical Assoc., 73, 812–815.
28.
Weissman, I. (1980). “Estimation of tail parameters under Type I censoring.” Comm. in Statistics, Theory, and Method., A9(11), 1165–1175.
29.
Weissman, I. (1982). “Confidence intervals for the threshold parameter II: unknown shape parameter.” Comm. in Statistics, Theory, Meth., All 2451–2474.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 115Issue 4April 1989
Pages: 859 - 866

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Published online: Apr 1, 1989
Published in print: Apr 1989

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G. R. Dargahi‐Noubary
Visiting Prof., Dept. of Math., Katholieke Univ. Leuven, Leuven, Belgium

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