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.
翻译:在文献中,海平面高地一般称为高萨进程。为了显示这一说法的不准确性,对美国海岸某一天的浮标进行了经验性研究,结果否定了80美元以上案例中高萨的无效假设。分析涉及作者最近进行的一项研究,其中证明海浪的高度不是高萨人。类似的情况是,对高萨过程的高度进行整体研究,而不是仅仅研究其单维边缘,正如文献中常见的那样。然而,不同之处在于,从统计角度看,对海平面高地的分析更为困难,因为一维边缘通常是高萨人,整个研究中都观察到这一点。