Next Article in Journal
Entropy in the Tangled Nature Model of Evolution
Next Article in Special Issue
An Entropy-Based Generalized Gamma Distribution for Flood Frequency Analysis
Previous Article in Journal
Image Bi-Level Thresholding Based on Gray Level-Local Variance Histogram
Previous Article in Special Issue
Investigation into Multi-Temporal Scale Complexity of Streamflows and Water Levels in the Poyang Lake Basin, China
Open AccessArticle

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
*
Authors to whom correspondence should be addressed.
Academic Editors: Huijuan Cui, Bellie Sivakumar, Vijay P. Singh and Kevin H. Knuth
Entropy 2017, 19(5), 189; https://doi.org/10.3390/e19050189
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)
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
MDPI and ACS Style

Song, S.; Song, X.; Kang, Y. Entropy-Based Parameter Estimation for the Four-Parameter Exponential Gamma Distribution. Entropy 2017, 19, 189.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map

1
Back to TopTop