Next Article in Journal
Application of Entropy Generation to Improve Heat Transfer of Heat Sinks in Electric Machines
Next Article in Special Issue
Generalized Beta Distribution of the Second Kind for Flood Frequency Analysis
Previous Article in Journal
Ruling out Higher-Order Interference from Purity Principles
Previous Article in Special Issue
Entropy-Based Parameter Estimation for the Four-Parameter Exponential Gamma Distribution

## Printed Edition

A printed edition of this Special Issue is available at MDPI Books....
Open AccessArticle

# 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.
Entropy 2017, 19(6), 239; https://doi.org/10.3390/e19060239
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)
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
Show Figures

Figure 1

MDPI and ACS Style

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