Extensivity of Rényi entropy for the Laplace–de Finetti distribution

H. Bergeron, E.M.F. Curado, J.P. Gazeau and Ligia M.C.S. Rodrigues

Physica A: Statistical Mechanics and its Applications, 2016, vol. 441, issue C, 23-31

Abstract: The Boltzmann–Gibbs entropy is known to be asymptotically extensive for the Laplace–de Finetti distribution. We prove here that the same result holds in the case of the Rényi entropy. We also show some interesting lower and upper bounds for the asymptotic limit of these entropies.

Keywords: Entropy; Rényi; Extensivity; Binomial distribution; Laplace–de Finetti representation (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:441:y:2016:i:c:p:23-31

DOI: 10.1016/j.physa.2015.08.014

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