Improved fuzzy weighted optimum curve-fitting method for estimating the parameters of a Pearson Type-III distribution

被引:5
|
作者
Lei, Guan-Jun [1 ]
Wang, Wen-Chuan [2 ,3 ]
Yin, Jun-Xian [1 ]
Wang, Hao [1 ]
Xu, Dong-Mei [2 ]
Tian, Jing [4 ]
机构
[1] China Inst Water Resources & Hydropower Res, State Key Lab Simulat & Regulat Water Cycle River, Beijing, Peoples R China
[2] North China Univ Water Resources & Elect Power, Sch Water Conservancy, Zhengzhou 450011, Henan, Peoples R China
[3] Collaborat Innovat Ctr Water Resources Efficient, Zhengzhou, Peoples R China
[4] Zheng Zhou Univ, Water Conservancy & Environm, Zhengzhou, Peoples R China
基金
中国国家自然科学基金;
关键词
improved fuzzy weighted optimum method; Pearson-Type-III distribution; hydrologic frequency analysis; statistical performance; SWARM OPTIMIZATION ALGORITHM; FLOOD FREQUENCY-ANALYSIS; MODEL CALIBRATION; MOMENTS; REGRESSION; FUTURE;
D O I
10.1080/02626667.2019.1620950
中图分类号
TV21 [水资源调查与水利规划];
学科分类号
081501 ;
摘要
The objective of the curve-fitting method is to determine the optimal distribution by parameter estimation. The selection of the parameter estimation methods and the determination of the parameter estimation results may vary according to the different aims of the curve fitting, as well as the different accuracies and positions of the points. To solve the problem, the fuzzy weighted optimum curve-fitting method (FWOCM) was used to deal with the characters. The deficiencies of the original FWOCM were analysed, and it was found that the membership function and nomograph were unable to effectively deal with the curve fitting. An improved method and its indexes were evaluated, using effectiveness and unbiasedness as the assessment criteria, while scoring and percentage methods were chosen to comprehensively assess the statistical results. Compared with FWOCM, the results showed greater effectiveness and unbiasedness in the improved method.
引用
收藏
页码:2115 / 2128
页数:14
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