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Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy

Year 2019, Volume: 7 Issue: 1, 113 - 119, 30.04.2019

M. Sanei Tabass G. R. Mohtashami Borzadaran

Abstract


Keywords

Shannon entropy Renyi entropy Generalized Renyi entropy Absolute minimum Absolute maximum

References

  • [1] Alencar, M.S. and Francisco, M.A., The absolute minimum and maximum value problem and the Renyi entropy of order . Telecommunications Symposium, 1(1998), 239-241.
  • [2] Hartley, R.V.L., Transmission of information. Bell System Tech. J., (1928), 7, 535-563.
  • [3] Inusah. S. and Kozubowski, T.J., A discrete analogue of the Laplace distribution. Journal of statistical planning and inference, (2006), 136, 1090-1102.
  • [4] Koski, T. and Persson, L,E., Some properties of generalized exponential entropies with applications to data compression. Information Sciences, (1992), 62, 103-132.
  • [5] Kozubowski, T.J. and Inusah, S., A skew Laplace distribution on integers. The Institute of Statistical Mathematics, (2006), 58, 555-571.
  • [6] Renyi, A., On measures of entropy and information. Proc. Berekeley Symposium, Statist. Probability, 1961, 1, 547-561.
  • [7] Shannon, C.E., A Mathimatical Theory of Communication. Bell System Tech., (1948), 27, 379-423.

Year 2019, Volume: 7 Issue: 1, 113 - 119, 30.04.2019

M. Sanei Tabass G. R. Mohtashami Borzadaran

Abstract

References

  • [1] Alencar, M.S. and Francisco, M.A., The absolute minimum and maximum value problem and the Renyi entropy of order . Telecommunications Symposium, 1(1998), 239-241.
  • [2] Hartley, R.V.L., Transmission of information. Bell System Tech. J., (1928), 7, 535-563.
  • [3] Inusah. S. and Kozubowski, T.J., A discrete analogue of the Laplace distribution. Journal of statistical planning and inference, (2006), 136, 1090-1102.
  • [4] Koski, T. and Persson, L,E., Some properties of generalized exponential entropies with applications to data compression. Information Sciences, (1992), 62, 103-132.
  • [5] Kozubowski, T.J. and Inusah, S., A skew Laplace distribution on integers. The Institute of Statistical Mathematics, (2006), 58, 555-571.
  • [6] Renyi, A., On measures of entropy and information. Proc. Berekeley Symposium, Statist. Probability, 1961, 1, 547-561.
  • [7] Shannon, C.E., A Mathimatical Theory of Communication. Bell System Tech., (1948), 27, 379-423.
There are 7 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

M. Sanei Tabass This is me

G. R. Mohtashami Borzadaran

Publication Date April 30, 2019
Submission Date July 10, 2018
Published in Issue Year 2019 Volume: 7 Issue: 1

Cite

APA Tabass, M. S., & Borzadaran, G. R. M. (2019). Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy. Mathematical Sciences and Applications E-Notes, 7(1), 113-119.
AMA Tabass MS, Borzadaran GRM. Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy. Math. Sci. Appl. E-Notes. April 2019;7(1):113-119.
Chicago Tabass, M. Sanei, and G. R. Mohtashami Borzadaran. “Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy”. Mathematical Sciences and Applications E-Notes 7, no. 1 (April 2019): 113-19.
EndNote Tabass MS, Borzadaran GRM (April 1, 2019) Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy. Mathematical Sciences and Applications E-Notes 7 1 113–119.
IEEE M. S. Tabass and G. R. M. Borzadaran, “Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy”, Math. Sci. Appl. E-Notes, vol. 7, no. 1, pp. 113–119, 2019.
ISNAD Tabass, M. Sanei - Borzadaran, G. R. Mohtashami. “Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy”. Mathematical Sciences and Applications E-Notes 7/1 (April 2019), 113-119.
JAMA Tabass MS, Borzadaran GRM. Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy. Math. Sci. Appl. E-Notes. 2019;7:113–119.
MLA Tabass, M. Sanei and G. R. Mohtashami Borzadaran. “Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy”. Mathematical Sciences and Applications E-Notes, vol. 7, no. 1, 2019, pp. 113-9.
Vancouver Tabass MS, Borzadaran GRM. Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy. Math. Sci. Appl. E-Notes. 2019;7(1):113-9.
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