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中文摘要：
Pearson-Ⅲ型分布常用的概率密度函数表达式从数学形式上只考虑了理论分布正偏的情况，忽略了分布出现负偏的可能性，在拟合诸如水位、潮位等常为负偏的序列时偏差较大。本文建议采用一种考虑了包括正、负偏理论分布的函数表达式作为Pearson—Ⅲ的概率密度函数，并分析了该概率密度函数在正、负偏情况下的频率计算方法。该方法通过常用数学计算软件实现计算，避开了传统方法中计算离均系数的步骤。最后以鲁台子、博罗、Lafayette站实测资料为算例，通过计算及拟合优度比较发现用正偏分布拟合负偏序列时频率曲线尾部偏高，拟合效果不如负偏分布。研究成果可为工程水文中计算设计水位、潮位等负偏要素提供一定的理论依据和计算参考。
英文摘要：
The common used probability density that the skewness of the distribution is positive. ries with negative skewness such as water level function of Pearson-Ⅲ distribution only considers the case The frequency curve fits unsatisfactory when fitting the se- and tide level. In this paper, a function expression which considers both positive and negative skewness to be the probability density function of Pearson-Ⅲ is suggested. The calculation method both for, positive and negative skewness, was analyzed, which avoids calculation of variation coefficient by using common computer software. The records of Lutaizi, Bolo and Lafayette stations are used as examples. The fitting results show that the tail of frequency curve is high when using positive-skewness distribution, whose result is not as good as negative-skewness distribution.
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