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http://dx.doi.org/10.5389/KSAE.2004.46.4.025

Comparative Analysis of Regional and At-site Analysis for the Design Rainfall by Gamma and Non-Gamma Family (I)  

Ryoo, Kyong-Sik (충북대학교 농과대학 지역건설공학과)
Lee, Soon-Hyuk (충북대학교 농과대학 지역건설공학과)
Publication Information
Journal of The Korean Society of Agricultural Engineers / v.46, no.4, 2004 , pp. 25-36 More about this Journal
Abstract
This study was conducted to derive the design rainfall by the consecutive duration using the at-site frequency analysis. Using the errors, K-S tests and LH-moment ratios, Log Pearson type 3 (LP3) and Generalized Extreme Value (GEV) distributions of Gamma and Non-Gamma Family, respectively were identified as the optimal probability distributions among applied distributions. Parameters of GEV and LP3 distributions were estimated by the method of L and LH-moments and the Indirect method of moments respectively. Design rainfalls following the consecutive duration were derived by at-site frequency analysis using the observed and simulated data resulted from Monte Carlo techniques. Relative root-mean-square error (RRMSE) and relative efficiency (RE) in RRMSE for the design rainfall derived by at-site analysis in the observed and simulated data were computed and compared. It has shown that at-site frequency analysis by GEV distribution using L-moments is confirmed as more reliable than that of GEV and LP3 distributions using LH-moments and Indirect method of moments in view of relative efficiency.
Keywords
L-moment; LH-moment; Monte Carlo simulation; At-site frequency analysis; Design rainfall;
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  • Reference
1 Bobe'e, B. and F. Ashkar, 1991. The Gamma Family and Derived Distributions applied in Hydrology. Water Resources Publications
2 Duncan R., 1999. Flood Estimation Handbook, Institute of Hydrology UK.
3 Hosking, J. R. M., 1990. L-Moments : Analysis and Estimation of Distributions using Linear Combinations of Order Statistics. J. R. Stat. Soc., Ser. B 52(2): 105-124
4 Lee, S. H., S. J. Maeng, Y. S. Jong and K. S. Ryoo, 1997. Comparative Studies on the Design Floods Derived by Different Methods for the Parameters of the Log Pearson Type III Distribution. Journal of the Korean National Committee on Irrigation and Drainage 4(1): 34-50. (in Korean)   과학기술학회마을
5 Wang, Q. J., 1997a. LH Moments for Statistical Analysis of Extreme Events. Water Resources Research 33(12): 2841-2848   DOI   ScienceOn
6 Wang. Q. J., 1997b, Using Higher Probability Weighted Moments for Flood Frequency Analysis. Journal of Hydrology 194: 95-106   DOI   ScienceOn