高斯牛顿法在皮尔逊Ⅲ型曲线适线中的应用  

Application of Gauss-Newton Method in Pearson Type Ⅲ Curve

作　　者：王杰[1] 万程炜 郑敏杰[2] 韩翀[3] 

机构地区：[1]河海大学水文与水资源工程系,江苏南京210098 [2]河海大学水务工程系,江苏南京210098 [3]河海大学水利水电工程系,江苏南京210098

出　　处：《人民黄河》2014年第9期27-30,共4页Yellow River

基　　金：国家自然科学青年基金资助项目(51309075)

摘　　要：皮尔逊Ⅲ型曲线是水文频率计算的常用曲线,其参数的精确估计是一个难点。基于复杂非线性拟合的最小二乘法基本思想,通过绝对值准则、平方和准则和期望值公式,采用高斯牛顿法对皮尔逊Ⅲ型曲线进行参数估计,通过matlab2013a软件编程,实现皮尔逊Ⅲ型曲线的自动优化适线,寻求最优适线结果。实例应用结果表明高斯牛顿法参数估计有较好的拟合效果。Pearson Type Ⅲcurve is commonly used in infrequency computation of hydrology in China,but the precise estimate of the parameters is still a difficulty. This paper used Gauss-Newton method on Pearson Type Ⅲ curve to estimate the parameters,based on the basic ideas of least squares in the complex nonlinear fitting,through the absolute standards,square and criterion and expectation formula. It was automatically to a-chieve the optimal line on Pearson TypeⅢand to seek the best curve ! fitting results by using the Matlab 2013a software. The results show that Gauss-Newton method has better fitting effect in the estimate of the parameter.

关 键 词：皮尔逊Ⅲ型曲线 高斯牛顿法 matlab2013a 适线 

分 类 号：P333[天文地球—水文科学]