Shannon entropy: axiomatic characterization and application.
Chakrabarti, C.G., Chakrabarty, Indranil (2005)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Optimal discrete entropy.”
Shannon entropy: axiomatic characterization and application.
Optimal quantization for the one–dimensional uniform distribution with Rényi--entropy constraints
Wolfgang Kreitmeier (2010)
Kybernetika
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We establish the optimal quantization problem for probabilities under constrained Rényi--entropy of the quantizers. We determine the optimal quantizers and the optimal quantization error of one-dimensional uniform distributions including the known special cases (restricted codebook size) and (restricted Shannon entropy).
Joint Range of Rényi entropies
Peter Harremoës (2009)
Kybernetika
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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.
Heterogeneous questionnaires and Rényi's entropy
Asha Garg (1981)
RAIRO - Operations Research - Recherche Opérationnelle
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A generalization of entropy equation: homogeneous entropies
Bhu Dev Sharma, R. P. Singh (1985)
Kybernetika
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A note on the entropy of a doubly stochastic operator
Brunon Kamiński, José de Sam Lazaro (2000)
Colloquium Mathematicae
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We investigate the properties of the entropy and conditional entropy of measurable partitions of unity in the space of essentially bounded functions defined on a Lebesgue probability space.