P-Ⅲ型分布参数估计的改进混合遗传优化适线法

Hybrid Genetic Algorithm Optimum Curve-fitting Method for Estimating the Parameters of Pearson type-Ⅲ distribution

选用多元插值原理对-(p,cs)表进行细化和扩展,对传统遗传算法加以改进。在此基础上提出P-Ⅲ型分布参数估计的混合遗传优化适线法。通过研究表明:该法简易通用、适应性强,可精确地对 x、cv、cs3个参数进行估计;克服了适线法未能解决 x、特别是cv的估计精度,以及计算过程与结果受人为因数的影响等不足,为准确估计P-Ⅲ型分布参数提供了一种十分有效的方法。

Based on subdivided and extended the table of -(p,c s) by using the binary interpolation method ,and analyzing traditional genetic algorithm shortcoming, the hybrid genetic algorithm optimum curve-fitting method is proposed. By the conclusion of application in Changsha ,it is proved that this method can estimating the parameters of Pearson type Ⅲ distribution at the same time. This method overcomes the evaluating accuracy problem of 、C v the tradition curve fitting method, and the calculating process and results can not be effected by the personal objective attitude, and this method supplies one kind of fully valid means to estimate the parameters of Pearson type Ⅲ distribution.