Authors: | Ilić, Velimir Stanković, Miomir |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | An axiomatic characterization of generalized entropies under analyticity condition | Journal: | Applied Mathematics and Information Sciences | Volume: | 9 | Issue: | 2 | First page: | 609 | Last page: | 613 | Issue Date: | 1-Jan-2015 | ISSN: | 1935-0090 | DOI: | 10.12785/amis/090208 | Abstract: | We present axiomatic characterizations of the Nath, Renyi and Havrda-Charvat-Tsallis entropies under the assumption that they are analytic functions with respect to the distribution dimension, unlike the previous characterizations, which suppose that they are expandable and maximized for uniform distribution. |
Keywords: | Axiomatic characterization | Havrda-Charvat-Tsallis entropy | Information measures | Nath entropy | Renyi entropy | Publisher: | Natural Sciences Publishing |
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