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

In this communication, we characterize a measure of information of types α, β, and γ by taking certain axioms parallel to those considered earlier by Havrda and Charvat along with the recursive relation Hn(p1,…,pn; α, β, γ) - Hn-1(p1+p2, p3,…,pn; α, β, γ) = (A(α,γ)/(A(α,γ)-A(β,γ)))p1+p2α/γH2(p1/(p1+...

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Bibliographic Details
Main Authors: Satish Kumar, Gurdas Ram
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/505184