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http://dx.doi.org/10.3741/JKWRA.2017.50.3.211

Applicability of the Burr XII distribution through dimensionless L-moment ratio of rainfall data in South Korea  

Seo, Jungho (School of Civil and Environmental Engineering, Yonsei University)
Shin, Hongjoon (School of Civil and Environmental Engineering, Yonsei University)
Ahn, Hyunjun (School of Civil and Environmental Engineering, Yonsei University)
Heo, Jun-Haeng (School of Civil and Environmental Engineering, Yonsei University)
Publication Information
Journal of Korea Water Resources Association / v.50, no.3, 2017 , pp. 211-221 More about this Journal
Abstract
In statistical hydrology, various extreme distributions such as the generalized extreme value (GEV), generalized logistic (GLO) and Gumbel (GUM) models have been widely used to analyze the extreme events. In the case of rainfall events in South Korea, the GEV and Gumbel distributions are known to be appropriate among various extreme distribution models. However, the proper probability distribution model may be different depending on the type of extreme events, rainfall duration, region, and statistical characteristics of extreme events. In this regard, it is necessary to apply a wide range of statistical properties that can be represented by the distribution model because it has two shape parameters. In this study, the statistical applicability of rainfall data is analyzed using the Burr XII distribution and the dimensionless L-moment ratio for 620 stations in South Korea. For this purpose, L-skewness and L-kurtosis of the Burr XII distribution are derived and L-moment ratio diagram is drawn and then the applicability of 620 stations was analyzed. As a result, it is found that the Burr XII distribution for the stations of the Han River basin in which L-skewness is relatively larger than L-kurtosis is appropriate, It is possibility of replacing the distribution of commonly used Gumbel or GEV distributions. Therefore, the Burr XII model can be replaced as an appropriate probability model in this basin.
Keywords
L-moment ratio; Burr XII distribution; Rainfall probability distribution;
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