摘要
耿贝尔分布是一种在水文及其他行业中较为常用的频率分布线型。对于耿贝尔分布参数的估计,首先介绍了传统的矩法、极大似然法和线性矩法,进而提出了一种基于梅林变换的积分变换矩法。该方法是由一阶一般矩和一阶对数矩方程组成,并分为连序样本和不连序样本两种状况。以昆明市滇池流域两个水文站年最大日降水量系列为例进行了计算,并与矩法、极大似然法和线性矩法的估算精度进行对比。结果表明,积分变换矩法的估算精度与其他方法大致相当,证明了该方法的可行性和有效性。
Gumbel distribution is commonly used in hydrology and other fields. In order to estimate its parameters, the MOM （method of moment） , ML（ maximum likelihood） and L -M （linearmoment） are introduced firstly, and then the ITMOM （in- tegral transform method of moment） based on Mellin transform is proposed. This method is consisted of first order general moment and first order logarithmic moment, and can be divided into two cases, namely continuous samples and discontinuous samples. Taking the two hydrological stations in Dianchi lake catchment at Kunming City as an example, the annual maximum daily precipitation is fitted and the results are compared with those of MOM, ML and L - M. It shows that the precision of ITMOM is almost the same as other conventional methods. Therefore, the proposed method is effective and feasible.
出处
《人民长江》
北大核心
2012年第13期14-16,共3页
Yangtze River
