Author： Petroni Nicola Cufaro
Publisher： MDPI
E-ISSN： 1099-4300|16|7|4044-4059
ISSN： 1099-4300
Source： Entropy, Vol.16, Iss.7, 2014-07, pp. : 4044-4059
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Abstract
The routine definitions of Shannon entropy for both discrete and continuous probability laws show inconsistencies that make them not reciprocally coherent. We propose a few possible modifications of these quantities so that: (1) they no longer show incongruities; and (2) they go one into the other in a suitable limit as the result of a renormalization. The properties of the new quantities would slightly differ from that of the usual entropies in a few other respects.
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