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

Satish Kumar; Gurdas Ram; Vishal Gupta

doi:10.2478/jamsi-2013-0016

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

Journal of Applied Mathematics, Statistics and Informatics

Volume 9 (2013): Issue 2 (December 2013)

By: Satish Kumar, Gurdas Ram and Vishal Gupta

Open Access

|Mar 2014

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

References

Aczel, J., Darcozy, Z. “On measures of information and their characterization, Academic Press", New York(1975).
Search in Google Scholar
Arndt, C. “Information, Measure-Information and its discription in Science and Engineering", Springer, Berlin(2001).
Search in Google Scholar
Chaundy, T.W.,McLeod, J.B. “On a functional equation", Proc. Edin. Math. Soc. Edin. Math. Notes 43(1960), 6-7.
Search in Google Scholar
Darcozy, Z. “Generalized Information Functions", Information and Control 16 (1970), 36-51.10.1016/S0019-9958(70)80040-7
Search in Google Scholar
Fadeev, D.K. “On the concept of entropy of a finite probabilistic scheme", Uspekhi Math. Nauk. 11(1)(67)(1956), 227-31.
Search in Google Scholar
Harvda, J. Charvat,F. “Quantification Method of Classification Processes Concept of Structural α-Entropy", Kybernetika 3(1967), 30-35.
Search in Google Scholar
Shannon, C.E. “A mathematical theory of communication", B.S.T.J. 27(1948), 379-423, 623-636.10.1002/j.1538-7305.1948.tb01338.x
Search in Google Scholar
Tsallis, C. “Possible Generalization of Boltzman Gibbs Statistics", J. Stat. Phy. 52(1988), 479-487.10.1007/BF01016429
Search in Google Scholar
Vajda, I. “Axioms for α-Entropy of a Generalized Probability Scheme", Kybernetika 2(1968), 105-112.
Search in Google Scholar

Articles in this issue

DOI: https://doi.org/10.2478/jamsi-2013-0016 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 95 - 106

Published on: Mar 7, 2014

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Related subjects:

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2014 Satish Kumar, Gurdas Ram, Vishal Gupta, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons License.

Volume 9 (2013): Issue 2 (December 2013)