有效波高的对数-Beta分布  

Logarithm-Beta Distribution of Significant Wave Height

作　　者：赵有星[1] 于定勇[1] 

机构地区：[1]中国海洋大学工程学院,山东青岛266071

出　　处：《海洋科学进展》2005年第3期353-358,共6页Advances in Marine Science

基　　金：国家自然科学基金项目---风浪破碎和群性统计特征及二者关系海上观测研究(50479028);留学回国基金项目---随机海浪波峰长度统计特征研究

摘　　要：基于非线性Beta波面分布,采用变换ζ=lnH/γ,导出了一种仅用随机波面偏度λ3和尖度λ4两个参数表示的非线性有效波高概率分布———对数-Beta分布,发展了线性海浪有效波高的双参数对数—正态分布。对比结果表明,对数-Beta分布理论曲线与其对应的实测资料符合良好。推导出的对数-Beta分布的优点是,基本参数较少且便于确定,并可由随机波面高度资料直接推导出对应的有效波高概率密度函数。In this paper, based on the nonlinear Beta distribution for random wave surface, the transformation ξ= lnH/γ is used to derive a nonlinear probability distribution of significant wave height-the logarithm- Beta distribution expressed only by skewness λ3 and kurtosis λ4, which is a further development of the linear two-parameter logarithm-Gaussian distribution of significant wave height. It is shown from the comparison results that the logarithm-Beta distribution theoretical curves agree well with their associated observed data. The advantages of logarithm-Beta distribution are that its basic parameters are less and convenient to be determined, and the related parbability density function of significant wave height can be inferred directly from the random wave surface height data.

关 键 词：BETA分布 有效波高 对数-Beta分布 非线性 

分 类 号：P731.22[天文地球—海洋科学]