摘要
对一个实测的具体样本而言,我们总是期望由某种方法估计的参数所确定的P-Ⅲ型曲线能最优地拟合样本点据,并能对全体样本收到最好的平差功效。何谓“最优”、何谓“最好”却缺乏比较明确的数量概念,传统方法无一能对此问题作出有效的回答。正是基于水文现象的模糊性,提出了一种新的参数估计方法。
As far as an existing sample, we always expect that the Pearson type Ⅲ distribution curve which a method determines its parameters can optimally fits all sample points. But what is “optimal” or what is “best” are not very clear in mathematics, all kinds of existing ways can not successfully answer this question. In this paper, by considering hydrological fuzziness, a new estimation way of Pearson type Ⅲ distribution parameter of frequency curve is presented and a quantity standard is established, which is used to indicate the index describing the distance between all sample points and theoretical frequency curve.
出处
《水文》
CSCD
北大核心
1997年第3期1-7,共7页
Journal of China Hydrology
关键词
频率曲线
水文分析
参数估计
模糊极值法
frequency curve, Pearson type Ⅲ distribution, parameter estimation, fuzzy maximum method