A comparative simulation study of the annual maxima and the peaks-over-threshold methods

In order to assess their relative merits in the context of the determinalion of Hydraulic Boundary Conditions (HBC), the Annual Maxima / Generalized Extreme Value distribution (AM/GEV) and Peaks over Threshold / Generalized Pareto Oislribution (POT/GPO) approaches are compared in terms of Iheir accuracy, as measured by mean square errors, in...

Evolution of ocean wave statistics in shallow water: Refraction and diffraction over seafloor topography

We present a stochastic model for the evolution of random ocean surface waves in coastal waters with complex seafloor topography. First, we derive a deterministic coupled-mode model based on a forward scattering approximation of the nonlinear mild slope equation; this model describes the evolution of random, directionally spread waves over fully...

Nonparametric and Parametric Estimation of Wave Statistics and Spectra

A nonparametric bivariate density estimation technique is developed employing tensor product B-splines to provide a concise wave data summary. Most of the existing nonparametric techniques involve a certain level of subjectivity in the choice of smoothing parameters. A criterion based on the least squares concept is proposed to remove the...

Hydrodynamic aspects of fixed offshore structures

Statistical description of ocean waves

Lecture note on wave statistics, short term and long term distribution, extreme value determination, wave climate.

Statistical evaluation of wave conditions in a deltaic area

Coastal encineering problems concerning wind waves and~ell can be solved with the aid of hydraulic or mathematical models, The irregular wave field i.e. the state of the sea surface can be described in a sufficient way for engineering problems either by parameters such as significant wave height and mean wave period, or in the form of power...

Statistical evaluation of wave conditions in a deltaic area

Coastal engineering problems concerning wind waves and swell can be solved with the aid of hydraulic or mathematical models. The irregular wave field i.e. the state of the sea surface can be described in a sufficient way for engineering problems either by parameters such as significant wave height and mean wave period, or in the form of power...

Facts and figures pertaining to the bivariate Rayleigh distribution

There is some evidence that the heights and the periods squared of wind waves each are Rayleigh- distributed. If this is the case, it may be surmised that their joint distribution is also of the Rayleigh type. The bivariate Rayleigh distribution, which is known in the field of statistical communications theory, may thus be applicable to wind...