| 对数正态分布参数估计的积分变换矩法应用 |
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| 引用本文： | 张明,柏绍光.对数正态分布参数估计的积分变换矩法应用[J].人民长江,2011,42(19):21-23. |
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| 作者姓名： | 张明 柏绍光 |
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| 作者单位： | 1. 云南省水利厅,云南昆明,650021
2. 云南省水文水资源局昆明分局,云南昆明,650051 |
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| 摘 要： | 针对对数正态分布参数估计矩法存在的缺陷，探讨了梅林变换的应用，推导了参数对应的一般矩和对数矩，提出了一种对数正态分布参数估计方法-积分变换矩法，包括二参数对数正态分布和三参数对数正态分布。以西南诸河16个水文站为例，利用三参数对数正态分布作为水文频率线型，对年平均流量系列进行了拟合。结果表明，与矩法相比，积分变换矩法能明显提高Cs的估算精度。
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| 关 键 词： | 对数正态分布 梅林变换 积分变换矩法 矩法 |
Integral transform method of moment in estimating parameters of lognormal distribution and its application |
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| ZHANG Ming,BAI Shaoguang.Integral transform method of moment in estimating parameters of lognormal distribution and its application[J].Yangtze River,2011,42(19):21-23. |
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| Authors: | ZHANG Ming BAI Shaoguang |
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| Affiliation: | ZHANG Ming1,BAI Shaoguang2(1.Water Conservancy Bureau of Yunnan Province,Kunming 650021,China,2.Kunming Branch,Hydrology and Water Resources Bureau of Yunnan Province,Kunming 650051,China) |
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| Abstract: | Aiming at the defects of method of moments(MOM) for estimating the parameters of lognormal distribution,the application of Mellin transform theory is discussed,and the general moment and logarithmic moment are derived respectively;the integral transform method of moment(ITMOM) for parameter estimation is put forward,including two-parameter lognormal distribution and three-parameter lognormal distribution.By taking 16 hydrological stations in Yunnan province as example,the annual averages discharge are fitte... |
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| Keywords: | lognormal distribution Mellin transform ITMOM MOM |
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