A Generalization of the Havrda-Charvat and Tsallis Entropy and Its Axiomatic Characterization

Satish Kumar and Gurdas Ram

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

In this communication, we characterize a measure of information of types , , and by taking certain axioms parallel to those considered earlier by Havrda and Charvat along with the recursive relation ( ; , , ) , ; , , ) ( ( )) , ; , ( )) , ; , ), , , , . Some properties of this measure are also studied. This measure includes Shannon’s information measure as a special case.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:505184

DOI: 10.1155/2014/505184

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