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20062014
most citedPathway Model, Superstatistics, Tsallis Statistics, and a Generalized Measure of Entropy

168 citations

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5 papers · 1 filter

cond-mat.stat-mech2014★ 17 cited

Boltzmann-Gibbs entropy is sufficient but not necessary for the likelihood factorization required by Einstein

Constantino Tsallis, Hans J. Haubold

In 1910 Einstein published a crucial aspect of his understanding of Boltzmann entropy. He essentially argued that the likelihood function of any system composed by two probabilisti…

cond-mat.stat-mech2010★ 1 cited

A Pathway from Bayesian Statistical Analysis to Superstatistics

A. M. Mathai, H. J. Haubold

Superstatistics and Tsallis statistics in statistical mechanics is given an interpretation in terms of Bayesian statistical analysis. Subsequently superstatistics is extended by re…

cond-mat.stat-mech2007★ 10 cited

Pathway parameter and thermonuclear functions

A. M. Mathai, H. J. Haubold

In the theory of thermonuclear reaction rates, analytical evaluation of thermonuclear functions for non-resonant reactions, including cases with cut-off and depletion of the tail o…

cond-mat.stat-mech2006★ 77 cited

Generalized Measure of Entropy, Mathai's Distributional Pathway Model, and Tsallis Statistics

A. M. Mathai, H. J. Haubold

The pathway model of Mathai (2005) mainly deals with the rectangular matrix-variate case. In this paper the scalar version is shown to be associated with a large number of probabil…

cond-mat.stat-mech2006★ 168 cited

Pathway Model, Superstatistics, Tsallis Statistics, and a Generalized Measure of Entropy

A. M. Mathai, H. J. Haubold

The pathway model of Mathai (2005) is shown to be inferable from the maximization of a certain generalized entropy measure. This entropy is a variant of the generalized entropy of…