Geodesic
Joint Range of Rényi entropies
Kybernetika, Tome 45 (2009) no. 6, pp. 901-911

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The exact range of the joined values of several Rényi entropies is determined. The method is based on topology with special emphasis on the orientation of the objects studied. Like in the case when only two orders of the Rényi entropies are studied, one can parametrize the boundary of the range. An explicit formula for a tight upper or lower bound for one order of entropy in terms of another order of entropy cannot be given.
Classification : 62B10, 94A17
Keywords: generalized Vandermonde determinant; orientation; Rényi entropies; Shannon entropy 
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     author = {Harremo\"es, Peter},
     title = {Joint {Range} of {R\'enyi} entropies},
     journal = {Kybernetika},
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     zbl = {1186.94420},
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Harremoës, Peter. Joint Range of Rényi entropies. Kybernetika, Tome 45 (2009) no. 6, pp. 901-911. http://geodesic.mathdoc.fr/item/KYB_2009__45_6_a1/