Journal
PHYSICS LETTERS A
Volume 372, Issue 12, Pages 2109-2113Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2007.10.084
Keywords
pathway model; generalized entropy measures
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The scalar version of the pathway model of Mathai [A.M. Mathai, Linear Alg. Appl. 396 (2005) 317] is shown to be associated with a large number of probability models used in physics. Different families of densities are listed here, which are all connected through the pathway parameter alpha, generating a distributional pathway. The idea is to switch from one functional form to another through this parameter and it is shown that one can proceed from the generalized type-1 beta family to generalized type-2 beta family to generalized gamma family. It is also shown that the pathway model is available by maximizing a generalized measure of entropy, leading to an entropic pathway, covering the particularly interesting cases of Tsallis statistics [C. Tsallis, J. Stat. Phys. 52 (1988) 479] and superstatistics [C. Beck, E.G.D. Cohen, Physica A 322 (2003) 2671. (c) 2007 Elsevier B.V All rights reserved.
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