Rényi and Tsallis entropies for incomplete or overcomplete systems of events

Diógenes Campos

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 5, 981-992

Abstract: In this article, Shannon, Rényi and Tsallis entropies are considered for a system of events characterized by an arbitrary probability distribution P that can be incomplete, complete or overcomplete. After a suitable transformation that leads to the escort probabilities of P, these can be written as the canonical probability distribution for a set of pseudo-energies (Hartley information, En=−lnPn) and a dimensionless parameter q that plays the role of thermodynamics β. Several relations between the entropies are presented, including the analysis of compound systems. The method is illustrated with an example.

Keywords: Rényi entropy; Tsallis entropy; Shannon entropy; Incomplete normalization; Overcomplete normalization; Escort probabilities (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:5:p:981-992

DOI: 10.1016/j.physa.2009.11.011

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