On a Generalized Entropy Measure Leading to the Pathway Model: with a preliminary application to solar neutrino data

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 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, physical, and engineering sciences are also pointed out. An application of the simplest case of the pathway model to the interpretation of solar neutrino data is provided.

19 pages, 4 figures, LaTeX. arXiv admin note: text overlap with arXiv:cond-mat/0207536 by other authors

References in corpus (6)

• Superstatistics
• Scaling detection in time series: diffusion entropy analysis
• Pathway Model, Superstatistics, Tsallis Statistics, and a Generalized Measure of Entropy
• Stretched exponentials from superstatistics
• A HEURISTIC REMARK ON THE PERIODIC VARIATION IN THE NUMBER OF SOLAR NEUTRINOS DETECTED ON EARTH
• The Variation of the Solar Neutrino Fluxes over Time in the Homestake, GALLEX(GNO) and Super-Kamiokande Experiments

Cited by in corpus (4)

• Approach of complexity in nature: Entropic nonuniqueness
• Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative
• Stochastic processes via the pathway model
• Generalized pathway entropy and its applications in diffusion entropy analysis and fractional calculus