On alpha stable distribution of wind driven water surface wave slope

Details On alpha stable distribution of wind driven water surface wave slope On alpha stable distribution of wind driven water surface wave slope

2008-10-02

arxiv.org/abs/0810.0455v1

Physics

Atmospheric and Oceanic Physics

final version of the manuscript: 25 pages

Scientific paper

10.1063/1.2955742

We propose a new formulation of the probability distribution function of wind driven water surface slope with an $\alpha$-stable distribution probability. The mathematical formulation of the probability distribution function is given under an integral formulation. Application to represent the probability of time slope data from laboratory experiments is carried out with satisfactory results. We compare also the $\alpha$-stable model of the water surface slopes with the Gram-Charlier development and the non-Gaussian model of Liu et al\cite{Liu}. Discussions and conclusions are conducted on the basis of the data fit results and the model analysis comparison.

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