P-Ⅲ分布求矩适线法MATLAB实现与北海海域设计波高估计

Realization of Matrix Curve-fitting Method in P-Ⅲ Distribution Based on MATLAB and Estimation of Beihai Hydrological Station's Design Wave Height

介绍了P-Ⅲ分布求解参数的一种方法——求矩适线法。在一定的误差限内对样本的变差系数Cv和均值x进行调整,然后调试偏态系数Cs与Cv之间的关系,并且按照绝对值准则挑选出一组最适合这组数据的参数值。并且给出了MATLAB的具体实现方法。最后介绍了P-Ⅲ分布求矩适线法在工程上的应用的一个例子,并且与P-Ⅲ分布矩法和极大似然法求参数进行了比较,求矩适线法求解参数,绝对值残差和最小,对数据拟合效果比较好。给出了北海海域的设计波高,为相关海洋工程的设计提供参考。

The matrix curve-fitting method for solving the P-Ⅲ distribution is introduced here. In the error limit, Cv and x are adjusted, and then the relationship between Cv and Cs is debugged. In accordance with the absolute value criteflon, a set of the most satisfactory parameter value is selected, the realization by MATLAB is introduced. At the end, one such programming method used in the engineering is given, and the matrix curve-fitting method is compared with the moment method and maximum likelihood method. The results show that the absolute residual error of the matrix curve-fitting method is minimum, and the fitting effectiveness of the method is better. The design wave height of Beihai Hydrological Station is given for the reference of similar projects.