On the use of discrete seasonal and directional models for the estimation of extreme wave conditions

Ocean Engineering

Volumn 37, Issue 5-6, 2010, Pages 425-442

  L Mackay, Edward B ^c   Challenor, Peter G ^b   Bahaj, AbuBakr S ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b NATIONAL OCEANOGRAPHY CENTRE   (United Kingdom)

^c DNV GL   (Norway)

Author keywords

Directional model; Extremes; Generalised Pareto distribution; Peaks over threshold; Seasonal model

Indexed keywords

BIAS AND VARIANCE; EXTREME VALUE; EXTREME VALUE THEORY; EXTREME WAVES; GENERALISED PARETO DISTRIBUTION; MODEL ASSUMPTIONS; OFFSHORE ENGINEERING; PARETO DISTRIBUTIONS; SEASONAL MODELS; SEASONALITY; SIGNIFICANT WAVE HEIGHT; STATIONARY DISTRIBUTION;

WATER WAVES;

ACCURACY ASSESSMENT; OFFSHORE ENGINEERING; SEASONAL VARIATION; SEASONALITY; THEORETICAL STUDY; WAVE HEIGHT; WAVE MODELING;

EID: 77649271931     PISSN: 00298018     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.oceaneng.2010.01.017     Document Type: Article

References (32)

1. Anderson, C.W., Carter, D.J.T., Cotton, P.D., 2001. Wave climate variability and impact on offshore design 4mxtremes. Report for Shell International and the Organization of Oil & Gas Producers, 90 pp.
2. Athanassoulis G.A., and Stefanakos C.N. A nonstationary stochastic model for long-term time series of significant wave height. J. Geophys. Res. 100 C8 (1995) 16149-16162
3. Caires S., and Sterl A. 100-Year return value estimates for ocean wind speed and significant wave height from the ERA-40 Data. J. Clim. 18 7 (2005) 1032-1048
4. Carter D.J.T., and Challenor P.G. Estimating return values of environmental parameters. Q. J. R. Meteorol. Soc. 107 (1981) 259-266
5. Chaouche A., and Bacro J.N. Statistical inference for the generalized Pareto distribution: maximum likelihood revisited. Commun. Stat. -Theory Methods 35 5 (2006) 785-802
6. Coles S. An Introduction to the Statistical Modelling of Extreme Values (2001), Springer-Verlag, London
7. de Zea Bermudez, P., Kotz, S., 2009. Parameter estimation of the generalized Pareto distribution-Parts I & II. J. Stat. Plan. Infer., doi:10.1016/j.jspi.2008.11.019, and doi:10.1016/j.jspi.2008.11.020.
8. Dupuis D.J., and Tsao M. A hybrid estimator for generalized Pareto and extreme-value distributions. Commun. Stat. -Theory Methods 27 (1998) 925-941
9. Efron B., and Tibshirani R.J. An Introduction to the Bootstrap (1993), Chapman and Hall, New York
10. Ewans K.C., and Jonathan P. The effect of directionality on Northern North Sea extreme wave design criteria. J. Offshore Mech. Arctic Eng. 130 (2008) 041604
11. Ferreira J.A., and Guedes Soares C. An application of the peaks over threshold method to predict extremes of significant wave height. J. Offshore Mech. Arct. Eng. 120 3 (1998) 165-176
12. Forristall G.Z., Heideman J.C., Leggett I.M., Roskam B., and Vanderschuren L. Effect of sampling variability on hindcast and measured wave heights. J. Waterw. Port Coastal Ocean Eng. 122 5 (1996) 216-225
13. Grimshaw S.D. Computing maximum likelihood estimates for the generalized Pareto distribution. Technometrics 35 (1993) 185-191
14. Hardy T.A., McConochie J.D., and Mason L.B. Modeling tropical cyclone wave population of the Great Barrier Reef. J. Waterw. Port Coastal Ocean Eng. 129 3 (2003) 104-113
15. Hosking J.R.M., and Wallis J.R. Parameter and quantile estimation for the generalized Pareto distribution. Technometrics 29 (1987) 339-349
16. Jonathan, P., Ewans, K.C., 2006. Uncertainties in extreme wave height estimates for hurricane dominated regions. In: Proceedings of the 25th International Conference on Offshore Mechanics and Arctic Engineering, June 4-8, 2006, Hamburg, Germany.
17. Jonathan P., and Ewans K.C. The effect of directionality on extreme wave design criteria. Ocean Eng. 34 (2007) 1977-1994
18. Jonathan, P., Ewans, K.C., 2008. Modelling the seasonality of extreme waves in the Gulf of Mexico. In: Proceedings of the 27th International Conference on Offshore Mechanics and Arctic Engineering, OMAE2008, June 15-20, 2008, Estoril, Portugal, OMAE2008-57131.
19. Jonathan P., Ewans K., and Forristall G. Statistical estimation of extreme ocean environments: the requirement for modelling directionality and other covariate effects. Ocean Eng. 35 (2008) 1211-1225
20. Leadbetter M.R., Lindgren G., and Rootzen H. Extremes and Related Properties of Random Sequences and Series (1983), Springer, New York
21. Mackay, E.B.L., Challenor, P.G., Bahaj, A.S., 2009. A comparison of estimators for the generalised Pareto distribution, in preparation.
22. Mathiesen M., Goda Y., Hawkes P., Mansard E., Martin M.J., Peltier E., Thompson E., and van Vledder G. Recommended practice for extreme wave analysis. J. Hydraul. Res. 32 6 (1994) 803-814
23. Morton I.D., Bowers J., and Mould G. Estimating return period wave heights and wind speeds using a seasonal point process model. Coastal Eng. 31 (1997) 305-326
24. Moharram S.H., Gosain A.K., and Kapoor P.N. A comparative study for the estimators of the generalized Pareto distribution. J. Hydrol. 150 (1993) 169-185
25. Naess A. Statistical extrapolation of extreme value data based on the peaks over threshold method. J. Offshore Mech. Arctic Eng. 120 (1998) 91-96
26. Naess A., and Clausen P.H. Combination of the peaks-over-threshold and bootstrapping methods for extreme value prediction. Struct. Saf. 23 4 (2001) 315-330
27. National Data Buoy Center (NDBC), 1996. Nondirectional and directional wave data analysis procedures. Technical Document 96- 01, Stennis Space Center, Miss.
28. National Data Buoy Center (NDBC), 2003. Handbook of automated data quality control checks and procedures of the National Data Buoy Center. Technical Document 03- 02, Stennis Space Center, Miss.
29. Singh V.P., and Guo H. Parameter estimation for 3-parameter generalized Pareto distribution by the principle of maximum entropy (POME). Hydrol. Sci. J. 40 (1995) 165-181
30. Stefanakos C.N., and Athanassoulis G.A. Extreme value predictions based on nonstationary time series of wave data. Environmetrics 17 1 (2006) 25-46
31. Tawn J.A. An extreme-value theory model for dependent observations. J. Hydrol. 101 (1988) 227-250
32. Zhang J. Likelihood moment estimation for the generalised Pareto distribution. Aust. N. Z. J. Stat. 49 1 (2007) 69-77