статья в журнале

En

Mathematical Models and Computer Simulations

ISSN:2070-0482

2025

10.1134/S2070048225700218

KNNDKK

A statistical description of the sea surface is necessary for solving a wide range of fundamental and applied problems. Modeling the probability density function of sea surface elevations is one of the main components of this description. This paper considers two approaches to calculate the parameters of the probability density function in the form of a two-component Gaussian mixture. The first one is based on the use of an incomplete system of Pearson equations, which is due to the fact that when measuring sea waves, the fifth statistical moment is usually not determined. In the second approach, an additional empirical relationship between the third and fifth statistical moments is used to close the system of Pearson equations. It is shown that the first approach is preferable, since it makes it possible to construct the probability density function in almost all ranges of the measured statistical moments of the third and fourth orders. Taking into account the fifth statistical moment significantly limits the area in which solutions of the considered system of equations exist.

sea waves, sea-surface elevation, statistical moments, two-component Gaussian mixture

2-s2.0-105014894797