An Axiomatic Characterization of Generalized Entropies under Analyticity Condition

Authors

Velimir M. Ilić, Mathematical Institute of the Serbian Academy of Sciences and Arts, Kneza Mihaila 36, 11000 Beograd, SerbiaFollow
Miomir S. Stanković, Faculty of Occupational Safety, University of Niˇs, ˇCarnojevi´ca 10a, 18000 Niˇs, SerbiaFollow

Author Country (or Countries)

Serbia

Abstract

We present axiomatic characterizations of the Nath, R´enyi and Havrda-Charv´at-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.

Recommended Citation

M. Ilić, Velimir and S. Stanković, Miomir (2015) "An Axiomatic Characterization of Generalized Entropies under Analyticity Condition," Applied Mathematics & Information Sciences: Vol. 09: Iss. 2, Article 8.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss2/8