论文标题
关于海面高程的非高斯
On the Non-Gaussianity of Sea Surface Elevations
论文作者
论文摘要
在文献中，通常将海面高程称为高斯过程。为了显示这一说法的不准确性，对美国海岸的浮标进行了实证研究，从而拒绝了超过80美元的案件中高斯的假设。所进行的分析与作者最近的一项分析有关，在该作者中，海浪高度被证明是非高斯的。这是类似的，因为整个过程的高斯都被研究了，而不仅仅是其一维边际，因为它在文献中很常见。然而，它的不同之处在于，从统计的角度来看，对海面升高的分析更加困难，因为一维边际通常是高斯，这在整个研究过程中都可以观察到。
The sea surface elevations are generally stated as Gaussian processes in the literature. To show the inaccuracy of this statement, an empirical study of the buoys in the US coast at a random day is performed, which results in rejecting the null hypothesis of Gaussianity in over 80$\%$ of the cases. The analysis pursued relates to a recent one by the author in which the heights of sea waves are proved to be non-Gaussian. It is similar in that the Gaussianity of the process is studied as a whole and not just of its one-dimensional marginal, as it is common in the literature. It differs, however, in that the analysis of the sea surface elevations is harder from a statistical point of view, as the one-dimensional marginals are commonly Gaussian, which is observed throughout the study.
