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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 30 | Number 2 | Year 2016 | Article Id. IJMTT-V30P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V30P514

New parametric Measures of Entropy


Naidu P.S.A., Chandbhanani S.K., JhaP
Abstract

Two new measures of parametric entropy have been obtained which are generalizations of Shannon’s Kapur’s, Bose Einstein, Fermi-Dirac, and Havrda-Charvat’s measures of Entropy. We have also examined its concavity property and some special cases.

Keywords
Measure of Entropy.
References

1. Havrda, J.H. and Charvat .F (1967), “Quantification method of classification processes: concept of structural Entropy”, Kybernatica, Vol.3,30-35.
2. Kapur, J.N. (1967). “Four families of measure of entropy” Ind. Jour-pure and A. Math's; vol. 17 No 4. 429-449.
3. Kapur,J.N.(1972),"Measures of uncertainty, mathematical programming and hysiscs",Journ.Ind.Soc.Agri.Stat.Vol.24,.47-66.
4. Kapur,J.N. (1994), “Measure of Information and their Application” Wiley Eastern limited.
5. Renyi, A. (1961): Measures of Entropy and information proceeding 4th Berkeley sym. statist. probab .I 547-561.
6. Shannon C.E. (1948):- “Mathematical theory of communication”. Bell system tech. Jour Vol. 27 379-423, 628- 69.

Citation :

Naidu P.S.A., Chandbhanani S.K., JhaP, "New parametric Measures of Entropy," International Journal of Mathematics Trends and Technology (IJMTT), vol. 30, no. 2, pp. 79-81, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V30P514

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