CAJ | 학술논문

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matlab 2013a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。
피이손Ⅲ형곡선시수문빈솔계산적상용곡선，기삼수적정학고계시일개난점。기우복잡비선성의합적최소이승법기본사상，통과절대치준칙、평방화준칙화기망치공식，채용고사우돈법대피이손Ⅲ형곡선진행삼수고계，통과matlab 2013a연건편정，실현피이손Ⅲ형곡선적자동우화괄선，심구최우괄선결과。실례응용결과표명고사우돈법삼수고계유교호적의합효과。
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.