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Entropy 2015, 17(4), 2253-2280;

Integrating Entropy and Copula Theories for Hydrologic Modeling and Analysis

Green Development Institute and School of Environmental Science, Beijing Normal University, Beijing 100875, China
Department of Biological and Agricultural Engineering and Zachry Department of Civil Engineering , Texas A&M University, College Station, TX 77843-2117, USA
Author to whom correspondence should be addressed.
Academic Editor: Nathaniel A. Brunsell
Received: 12 March 2015 / Revised: 8 April 2015 / Accepted: 10 April 2015 / Published: 15 April 2015
(This article belongs to the Special Issue Entropy in Hydrology)
Full-Text   |   PDF [828 KB, uploaded 15 April 2015]


Entropy is a measure of uncertainty and has been commonly used for various applications, including probability inferences in hydrology. Copula has been widely used for constructing joint distributions to model the dependence structure of multivariate hydrological random variables. Integration of entropy and copula theories provides new insights in hydrologic modeling and analysis, for which the development and application are still in infancy. Two broad branches of integration of the two concepts, entropy copula and copula entropy, are introduced in this study. On the one hand, the entropy theory can be used to derive new families of copulas based on information content matching. On the other hand, the copula entropy provides attractive alternatives in the nonlinear dependence measurement even in higher dimensions. We introduce in this study the integration of entropy and copula theories in the dependence modeling and analysis to illustrate the potential applications in hydrology and water resources. View Full-Text
Keywords: entropy; copula; joint distribution; multivariate distribution; dependence entropy; copula; joint distribution; multivariate distribution; dependence
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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Hao, Z.; Singh, V.P. Integrating Entropy and Copula Theories for Hydrologic Modeling and Analysis. Entropy 2015, 17, 2253-2280.

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