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Some properties of Rényi entropy and Rényi entropy rate |
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| Authors: | Leila Golshani Einollah Pasha |
| Affiliation: | a Islamic Azad University, Science & Research Branch, Department of Statistics, P.O. Box 14155-4933, Tehran 1477893855, Iran b Tarbiat Moallem University, Tehran, Iran c University of Science and Technology, Tehran, Iran |
| Abstract: | In this paper, we define the conditional Rényi entropy and show that the so-called chain rule holds for the Rényi entropy. Then, we introduce a relation for the rate of Rényi entropy and use it to derive the rate of the Rényi entropy for an irreducible-aperiodic Markov chain. We also show that the bound for the Rényi entropy rate is simply the Shannon entropy rate. |
| Keywords: | Ré nyi entropy Shannon entropy Ré nyi entropy rate Shannon entropy rate Stationary process Quasi-linear mean |
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