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

M. Sanei Tabass; G. R. Mohtashami Borzadaran

Research Article

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	Research Article
Authors	M. Sanei Tabass This is me G. R. Mohtashami Borzadaran
Submission Date	July 10, 2018
Publication Date	April 30, 2019
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. https://izlik.org/JA74PH73AY
AMA	1.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):113-119. https://izlik.org/JA74PH73AY
Chicago	Tabass, M. Sanei, and G. R. Mohtashami Borzadaran. 2019. “Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy”. Mathematical Sciences and Applications E-Notes 7 (1): 113-19. https://izlik.org/JA74PH73AY.
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	[1]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, Apr. 2019, [Online]. Available: https://izlik.org/JA74PH73AY
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 1, 2019): 113-119. https://izlik.org/JA74PH73AY.
JAMA	1.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, Apr. 2019, pp. 113-9, https://izlik.org/JA74PH73AY.
Vancouver	1.Tabass MS, Borzadaran GRM. Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy. Math. Sci. Appl. E-Notes [Internet]. 2019 Apr. 1;7(1):113-9. Available from: https://izlik.org/JA74PH73AY