Bivariate description of offshore wave conditions with physics-based extreme value statistics

Long-term performance assessment and design of offshore structures

“…For example, a large value of H S is unlikely to be associated with a small T P because of the breaking wave limit. Repko et al [45] addressed this by introducing the wave steepness parameter. Implementing such physical feature in the model is not straightforward and is in its infancy stage of development.…”

“…Although the application of the conditional joint distribution model is quite straightforward, its drawback is that the marginal distributions and the dependence structure as defined in the bivariate model reduces the degree of freedom of the model. This has been highlighted by several studies which also suggested further development of the conditional bivariate models [45,7,14].…”

Bivariate distributions of significant wave height and mean wave period of combined sea states

“…Repko et al, 2004). One of the first approaches was proposed by Ochi (1978), who adopted the bivariate lognormal distribution, resulting from an exponential transformation of the bivariate Normal distribution.…”

Testing for censored bivariate distributions with applications to environmental data

“…Johansen (2004) also worked on bivariate flood frequency analysis by assuming a bivariate lognormal structure. Repko et al (2004) used the bivariate lognormal distribution for the bivariate description of extreme wave heights and wave periods. Vangelis et al (2011) assumed a bivariate normal distribution to model the joint distribution of precipitation and potential evapotranspiration for drought severity assessment.…”