摘要
基于Mellin变换在概率权重矩法中的应用,建立了Mellin变换与概率权重矩、概率权重对数矩之间的关系,提出了一种概率权重混合矩法,以P-Ⅲ型分布参数估计为例进行分析。在此基础上,又提出了P-Ⅲ型分布参数估计的线性混合矩法。通过对云南省西南诸河10个水文站的年径流量观测资料拟合,表明概率权重混合矩法计算结果与概率权重矩法相当。
Based on the application of Mellin transform to probability-weighted moments method, the relationship between Mellin transform, probability-weighted moments method and probability-weighted log-moments is established. Probability-weighted mixed moments method is proposed to estimate parameters of Pearson type -HI distribution. And then linear mixed moments method is put forward for estimating the parameters of Pearson type-HI distribution. Taking annual observed runoff of 10 hydrologic stations in southwest of Yunnan province for an example, the fitting results show that the proposed method coincides with probability-weighted moments method.
出处
《水电能源科学》
北大核心
2012年第9期20-22,29,共4页
Water Resources and Power
关键词
Mellin变换
概率权重矩法
P-Ⅲ型分布
概率权重混合矩法
线性混合矩法
Mellin transform
probability-weighted moments method
Pearson type-III distribution
probability-weighted mixed moments method
linear mixed moments method
