Analytic Model of the Probability Density of Slopes of the Sea Surface

Analytic Model of the Probability Density of Slopes of the Sea Surface We study probability density models of the sea-surface slopes in which the experimentally observed deviations from the normal distribution are taken into account. It is shown that the approximation of the probability density of slopes by finitely many terms of the Gram–Charlier series (containing the first four moments of the distribution) is true only within a bounded range of wind velocities. For the components of slopes, we propose a simple analytic model of probability density whose parameters are determined by using the experimental estimates of their variance, skewness, and peakedness. The comparison with the data of field measurements shows that the proposed model fairly well describes the actual distributions of the components of slopes. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Oceanography Springer Journals

Analytic Model of the Probability Density of Slopes of the Sea Surface

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Publisher
Kluwer Academic Publishers-Plenum Publishers
Copyright
Copyright © 2003 by Plenum Publishing Corporation
Subject
Earth Sciences; Oceanography; Remote Sensing/Photogrammetry; Atmospheric Sciences; Climate Change; Environmental Physics
ISSN
0928-5105
eISSN
0928-5105
D.O.I.
10.1023/A:1022444703787
Publisher site
See Article on Publisher Site

Abstract

We study probability density models of the sea-surface slopes in which the experimentally observed deviations from the normal distribution are taken into account. It is shown that the approximation of the probability density of slopes by finitely many terms of the Gram–Charlier series (containing the first four moments of the distribution) is true only within a bounded range of wind velocities. For the components of slopes, we propose a simple analytic model of probability density whose parameters are determined by using the experimental estimates of their variance, skewness, and peakedness. The comparison with the data of field measurements shows that the proposed model fairly well describes the actual distributions of the components of slopes.

Journal

Physical OceanographySpringer Journals

Published: Oct 20, 2004

References

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