A multi-distribution approach to POT methods for determining extreme wave heights

Coastal Engineering

Volumn 58, Issue 5, 2011, Pages 385-394

  Mazas, Franck ^a   Hamm, Luc ^a  

^a SOGREAH Consultants   (France)

Author keywords

BIC AIC; Climate variability; Extreme wave heights; GPD; Multi distribution; POT

Indexed keywords

BIC/AIC; CLIMATE VARIABILITY; EXTREME WAVE HEIGHTS; GPD; MULTI-DISTRIBUTION; POT;

CLIMATOLOGY; SENSITIVITY ANALYSIS; WATER WAVES;

WEIBULL DISTRIBUTION;

HEIGHT DETERMINATION; NUMERICAL MODEL; SENSITIVITY ANALYSIS; STATISTICAL DISTRIBUTION; WAVE HEIGHT; WEIBULL THEORY;

STRAIT OF GIBRALTAR;

EID: 79951768187     PISSN: 03783839     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.coastaleng.2010.12.003     Document Type: Article

References (22)

1. Akaike H. Information theory and an extension of the maximum likelihood principle. Second International Symposium on Information Theory 1973, 267-281. Akademiai Kiado, Budapest.
2. Bacon S., Carter D.J.T. A connection between mean wave height and atmospheric pressure gradient in the North Atlantic. Int. J. Climatol. 1993, 13:423-436.
3. Castillo E., Sarabia J.M. Engineering analysis of extreme value data: selection of models. J. Waterw. Port Coast. Ocean Eng. 1992, 118(2):129-146.
4. Coles S. An Introduction to Statistical Modelling of Extreme Values 2001, Springer, London.
5. Coles S., Stephenson A. ismev: An Introduction to Statistical Modelling of Extreme Values (Original S functions) (R port and R documentation files), R package version 1.2. http://www.maths.lancs.ac.uk/stephena/.
6. Dodet G., Bertin X., Taborda R. Wave climate variability in the North-East Atlantic Ocean over the last six decades. Ocean Model. 2010, 31:120-131.
7. Efron B., Tibshirani R.J. An Introduction to the Bootstrap 1993, Chapman & Hall, London.
8. Efron B., Tibshirani R.J. An Introduction to the Bootstrap, Monographs on Statistics and Applied Probabilities 57 1993, Chapman & Hall, New York.
9. Embrechts P., Kluppelberg C., Mikosh T. Modelling Extreme Events 1997, Springer, New York.
10. Goda Y. Random Seas and Design of Maritime Structures. Advanced Series on Ocean Engineering 2000, Vol. 15. World Scientific. 2nd Edition.
11. Hawkes P., Gonzalez-Marco D., Sánchez-Arcilla A., Prinos P. Best practice for the estimation of extremes: a review. J. Hydraul. Res. 2008, Vol. 46(Extra Issue 2):324-332.
12. Hosking J.R.M., Wallis J.R. Parameter and quantile estimation for the generalized Pareto distribution. Technometrics 1987, vol. 29:339-349.
13. Hurrell J.W. Decadal trends in the North Atlantic Oscillation: regional temperatures and precipitations. Science 1995, 269:676-679.
14. Magnusson A.K., Reistad M., Breivik O., Myklebust R., Ash E. Forecasting a 100-year wave event. Proceedings of the 9th International Workshop on Wave Hindcasting and Forecasting, Victoria, Canada, 24th to 30th September 2006 2006.
15. Mathiesen M., Goda Y., Hawkes P.J., Mansard E., Martín M.J., Peltier E., Thompson E.F., Van Vledder G. Recommended practice for extreme wave analysis. J. Hydraul. Res. 1994, 32(6):803-814.
16. Méndez F.J., Menéndez M., Luceño A., Losada I.J. Estimation of long-term variability of extreme significant wave height using a time-dependent Peaks Over Threshold (POT) model. J. Geophys. Res. 2006, 111:C07024. 10.1029/2005JC003344.
17. Panchang V.G., Gupta R.C. On the determination of three-parameter Weibull MLE's. Commun. Statist. Simula. 1989, 18(3):1037-1057.
18. Pickands J. Statistical inference using extreme order statistics. Ann. Statist. 1975, 3:119-131.
19. R Development Core Team, 2009. R: A Language and Environment for Statistical Computing. 3-900051-07-0. Vienna, Austria. http://www.R-project.org.
20. Schwarz G. Estimating the dimension of a model. Ann. Statist. 1978, 6:461-464.
21. Thompson P., Cai Y., Reeve D., Stander J. Automated threshold selection methods for extreme wave analysis. Coastal Eng. 2009, 56:1013-1021.
22. Van Vledder G., Goda Y., Hawkes P., Mansard E., Martin M.J., Mathiesen M., Peltier E., Thompson E. Case studies of extreme wave analysis: a comparative analysis. Proceedings of the Second Symposium on Ocean Wave Measurement and Analysis, New Orleans, Louisiana, USA 1994, 978-992.