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探讨了概率权重混合矩法在三参数对数正态分布、广义极值分布、广义帕雷托分布和广义逻辑斯特分布等参数估计中的应用,建立了概率权重混合矩与分布参数之间的数学关系,并以三参数对数正态分布为水文频率线型为例,对云南省西南诸河15个水文站年平均流量系列进行了拟合。结果表明,概率权重混合矩法估算精度与概率权重矩法大致相当。
This paper discusses the application of the method of probability weighting moment method in parameter estimation of logarithm normal distribution, generalized extreme value distribution, generalized Pareto distribution and generalized logistic distribution, and establishes the relationship between probability weighting mixture moment and distribution parameter Taking the logarithm normal distribution of three parameters as hydrological frequency line as an example, the annual average flow series of 15 hydrological stations in Yunnan Province are fitted. The results show that the estimation accuracy of the method of probability weight moment is roughly equivalent to that of probability weight moment method.