<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this communication, we characterize a measure of information of type (α, β, γ) by taking certain axioms parallel to those considered earlier by Harvda and Charvat along with the recursive relation (1.7). Some properties of this measure are also studied. This measure includes Shannon information measure as a special case</p></abstract>

In this communication, we characterize a measure of information of type (α, β, γ) by taking certain axioms parallel to those considered earlier by Harvda and Charvat along with the recursive relation (1.7). Some properties of this measure are also studied. This measure includes Shannon information measure as a special case

Axioms for (α, β, γ)-entropy of a generalized probability scheme

Department of Mathematics, Geeta Institute of Management and Technology, Kanipla(Kurukshetra), India

Department of Applied Sciences, M.M. University, Solan(H.P.), India

Department of Mathematics, M.M. University, Mullana Ambala, India

Journal of Applied Mathematics, Statistics and Informatics

{"article-title":"Axioms for (α, β, γ)-entropy of a generalized probability scheme"}

In this communication, we characterize a measure of information of type (α, β, γ) by taking certain axioms parallel to those considered earlier by Harvda and...

Axioms for (α, β, γ)-entropy of a generalized probability scheme

Published Online: Mar 07, 2014

Page range: 95 - 106

DOI: https://doi.org/10.2478/jamsi-2013-0016

Keywords
Recursive relation, Additive, Sub-additive, Convex function, Jensen Inequality

This content is open access.

Axioms for (α, β, γ)-entropy of a generalized probability scheme

Published Online: Mar 07, 2014

Page range: 95 - 106

DOI: https://doi.org/10.2478/jamsi-2013-0016

KeywordsRecursive relation, Additive, Sub-additive, Convex function, Jensen Inequality

This content is open access.

Keywords
Recursive relation, Additive, Sub-additive, Convex function, Jensen Inequality