Entropy 2013, 15(10), 4011-4025; doi:10.3390/e15104011
Article

On a Generalized Entropy Measure Leading to the Pathway Model with a Preliminary Application to Solar Neutrino Data

Received: 4 September 2013; Accepted: 22 September 2013 / Published: 25 September 2013
(This article belongs to the Special Issue Dynamical Systems)
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.
Abstract: An entropy for the scalar variable case, parallel to Havrda-Charvat entropy, was introduced by the first author, and the properties and its connection to Tsallis non-extensive statistical mechanics and the Mathai pathway model were examined by the authors in previous papers. In the current paper, we extend the entropy to cover the scalar case, multivariable case, and matrix variate case. Then, this measure is optimized under different types of restrictions, and a number of models in the multivariable case and matrix variable case are obtained. Connections of these models to problems in statistical and physical sciences are pointed out. An application of the simplest case of the pathway model to the interpretation of solar neutrino data by applying standard deviation analysis and diffusion entropy analysis is provided.
Keywords: generalized entropy; scalar, vector, and matrix cases; optimization; mathematical and statistical models; pathway model; non-extensive statistical mechanics; solar neutrino data; diffusion entropy analysis; standard deviation analysis
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MDPI and ACS Style

Mathai, A.M.; Haubold, H.J. On a Generalized Entropy Measure Leading to the Pathway Model with a Preliminary Application to Solar Neutrino Data. Entropy 2013, 15, 4011-4025.

AMA Style

Mathai AM, Haubold HJ. On a Generalized Entropy Measure Leading to the Pathway Model with a Preliminary Application to Solar Neutrino Data. Entropy. 2013; 15(10):4011-4025.

Chicago/Turabian Style

Mathai, Arak M.; Haubold, Hans J. 2013. "On a Generalized Entropy Measure Leading to the Pathway Model with a Preliminary Application to Solar Neutrino Data." Entropy 15, no. 10: 4011-4025.

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