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Entropy 2017, 19(5), 189; doi:10.3390/e19050189

Entropy-Based Parameter Estimation for the Four-Parameter Exponential Gamma Distribution

College of Water Resources and Architectural Engineering, Northwest A & F University, Yangling 712100, China
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Authors to whom correspondence should be addressed.
Academic Editors: Huijuan Cui, Bellie Sivakumar, Vijay P. Singh and Kevin H. Knuth
Received: 6 March 2017 / Revised: 4 April 2017 / Accepted: 21 April 2017 / Published: 26 April 2017
(This article belongs to the Special Issue Entropy Applications in Environmental and Water Engineering)
View Full-Text   |   Download PDF [287 KB, uploaded 26 April 2017]

Abstract

Two methods based on the principle of maximum entropy (POME), the ordinary entropy method (ENT) and the parameter space expansion method (PSEM), are developed for estimating the parameters of a four-parameter exponential gamma distribution. Using six data sets for annual precipitation at the Weihe River basin in China, the PSEM was applied for estimating parameters for the four-parameter exponential gamma distribution and was compared to the methods of moments (MOM) and of maximum likelihood estimation (MLE). It is shown that PSEM enables the four-parameter exponential distribution to fit the data well, and can further improve the estimation. View Full-Text
Keywords: four-parameter exponential gamma distribution; principle of maximum entropy; precipitation frequency analysis; methods of moments; maximum likelihood estimation four-parameter exponential gamma distribution; principle of maximum entropy; precipitation frequency analysis; methods of moments; maximum likelihood estimation
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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Song, S.; Song, X.; Kang, Y. Entropy-Based Parameter Estimation for the Four-Parameter Exponential Gamma Distribution. Entropy 2017, 19, 189.

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