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Entropy 2017, 19(6), 239; doi:10.3390/e19060239

An Entropy-Based Generalized Gamma Distribution for Flood Frequency Analysis

1
College of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
2
Department of Biological and Agricultural Engineering, Texas A&M University, College Station, TX 77843, USA
3
Zachry Department of Civil Engineering, Texas A&M University, College Station, TX 77843, USA
4
State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
*
Author to whom correspondence should be addressed.
Academic Editor: Kevin Knuth
Received: 17 April 2017 / Revised: 17 May 2017 / Accepted: 19 May 2017 / Published: 2 June 2017
(This article belongs to the Special Issue Entropy Applications in Environmental and Water Engineering)
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Abstract

Flood frequency analysis (FFA) is needed for the design of water engineering and hydraulic structures. The choice of an appropriate frequency distribution is one of the most important issues in FFA. A key problem in FFA is that no single distribution has been accepted as a global standard. The common practice is to try some candidate distributions and select the one best fitting the data, based on a goodness of fit criterion. However, this practice entails much calculation. Sometimes generalized distributions, which can specialize into several simpler distributions, are fitted, for they may provide a better fit to data. Therefore, the generalized gamma (GG) distribution was employed for FFA in this study. The principle of maximum entropy (POME) was used to estimate GG parameters. Monte Carlo simulation was carried out to evaluate the performance of the GG distribution and to compare with widely used distributions. Finally, the T-year design flood was calculated using the GG and compared with that with other distributions. Results show that the GG distribution is either superior or comparable to other distributions. View Full-Text
Keywords: flood frequency analysis; generalized gamma (GG) distribution; principle of maximum entropy (POME) flood frequency analysis; generalized gamma (GG) distribution; principle of maximum entropy (POME)
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Chen, L.; Singh, V.P.; Xiong, F. An Entropy-Based Generalized Gamma Distribution for Flood Frequency Analysis. Entropy 2017, 19, 239.

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