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Publications
Soares, C.S. and Guedes Soares, C. (2007), “Comparison of Bivariate Models of Distributions of Significant Wave Height and Wave Period", Proceedings of the 26th International Conference on Offshore Mechanics and Arctic Engineering (OMAE´07), 10-15 June 2007, San Diego, USA, ASME, New York, Paper OMAE2007-29740.
The objective of this paper is to find a model for the bivariate description of the North Sea data, representing the variables significant wave height and peak period relative to the sea states. To achieve this, three statistical models taken from the literature have been tested on the North Sea data. Further, the models have been compared. The North Sea data has been measured during the years 1976 - 1999. In order to obtain the joint probability density function using the Total Probability theorem, the first step was to fit the distribution of peak period conditional on significant wave height. Another method of fitting bivariate distributions consists on applying the Box-Cox transformation to the data in order to obtain a realization which is approximately Normal. Using the properties of the Normal distribution, it may easily be used to fit bivariate data. In alternative to the two methods described above, the Plackett model was applied. The abovementioned models were applied to the data of each year from 1976 to 1989 and to the set formed by concatenating all years.
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