A Shannon–Tsallis transformation

E. Rufeil Fiori and A. Plastino

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 8, 1742-1749

Abstract: Via a first-order linear differential equation, we determine a general link between two different solutions of the MaxEnt variational problem, namely, the ones that correspond to using either Shannon’s or Tsallis’ entropies in the concomitant variational problem. It is shown that the two variations lead to equivalent solutions that have different appearances but contain the same information. These solutions are linked by our transformation. However, the so-called collision entropy (Tsallis’ one with q=2) does not have a Shannon counterpart.

Keywords: Shannon entropy; Tsallis entropy; MaxEnt (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:8:p:1742-1749

DOI: 10.1016/j.physa.2012.12.037

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