Publications

Antão, E. and Guedes Soares, C. (2014), “Approximation of Bivariate Probability Density of Individual Wave Steepness and Height with Copulas”, Coastal Engineering, Vol. 89, pp. 45-52.

The bivariate probability density of individual wave steepness and height is fitted with theoretical bivariate densities in the form of copula. Copula functions approximate only the relation of the dependency between both random variables and marginal densities can be modelled separately. In this study the primary problem is finding a copula function which could faithfully represent dependency relation between deep water wave height and steepness, so modelling marginal probability densities is a secondary question. A short description of the formulation of copula functions is given, and five different copula functions used in this study are described. The goodness of their fit to measured data is compared. The study is based on wave data measured in an offshore basin.

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