Extremes of Correlated Non‐Gaussian Series
Publication: Journal of Structural Engineering
Volume 110, Issue 7
Abstract
Mean crossings rates are determined for translation series, which can be obtained from correlated Gaussian series by nonlinear transformations. Translation series have a specified marginal distribution and correlation structure. It is shown that mean crossing rates depend weakly on correlation, particularly for relatively large thresholds. This weak dependence shows that approximations can be developed for mean crossing rates if correlation is disregarded. Theoretical developments are applied to determine the reliability of chain systems with links having correlated, non‐Gaussian resistances and to estimate extreme wind speeds.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abramowitz, M., and Stegun, I. A., eds., Handbook of Mathematical Functions, Dover Publications, Inc., N.Y., 1972.
2.
Cramer, H., and Leadbetter, M. R., Stationary and Related Stochastic Processes, John Wiley and Sons, N.Y., 1967.
3.
Gomes, L., and Vickery, B. J., “On Prediction of Extreme Wind Speeds from the Parent Distribution,” Journal of Industrial Aerodynamics, Vol. 2, No. 1, Jan., 1977, pp. 21–36.
4.
Grigoriu, M., and Turkstra, C., “Structural Safety Indices for Repeated Loads,” Journal of the Engineering Mechanics Division, ASCE, Vol. 104, No. EM4, Paper 13929, Aug., 1978, pp. 829–844.
5.
Grigoriu, M., “Estimates of Design Wind From Short Records,” Journal of the Structural Division, ASCE, Vol. 108, No. ST5, Paper 17069, May, 1982, pp. 1034–1048.
6.
Grigoriu, M., “Approximate Analysis of Complex Reliability Analysis of Complex Reliability Problems,” Structural Safety, Vol. 1, 1983, pp. 277–288.
7.
Grigoriu, M., “Estimation of Extreme Winds from Short Records,” Journal of Structural Engineering, ASCE, Vol. 110, No. ST7, Paper 19004, July, 1984, pp. 1467–1484.
8.
Lancaster, H. O., “Some Properties of the Bivariate Normal Distribution Considered in the Form of a Contingency Table,” Biometrika, Vol. 44, Parts 1 and 2, June, 1957, pp. 289–292.
9.
Ramberg, J. S., Dudewicz, E. J., Tadikamalla, P. R., and Mykytka, E. F., “A Probability Distribution and Its Uses in Fitting Data,” Technometrics, Vol. 21, No. 2, May, 1979, pp. 201–214.
Information & Authors
Information
Published In
Copyright
Copyright © 1984 ASCE.
History
Published online: Jul 1, 1984
Published in print: Jul 1984
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.