New parametric Measures of Entropy

Naidu P.S.A.; Chandbhanani S.K.; JhaP

doi:https://doi.org/10.14445/22315373/IJMTT-V30P514

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

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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