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JSRI 2009, 5(2): 171-180 Back to browse issues page
The Rate of Rényi Entropy for Irreducible Markov Chains
Einollah Pasha, Leila Golshani *1, Hossein Yari Gholam
1- , leila_golshani@yahoo.com
Abstract:   (2546 Views)

In this paper, we obtain the Rényi entropy rate for irreducible-aperiodic Markov chains with countable state space, using the theory of countable nonnegative matrices. We also obtain the bound for the rate of Rényi entropy of an irreducible Markov chain. Finally, we show that the bound for the Rényi entropy rate is the Shannon entropy rate.

Keywords: Rényi entropy rate, Shannon entropy rate, Rényi entropy, countable nonnegative matrices
Full-Text [PDF 219 kb]   (466 Downloads)    
Type of Study: Research | Subject: General
Received: 2016/01/20 | Accepted: 2016/01/20 | Published: 2016/01/20
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Pasha E, Golshani L, Yari H. The Rate of Rényi Entropy for Irreducible Markov Chains . JSRI. 2009; 5 (2) :171-180
URL: http://jsri.srtc.ac.ir/article-1-117-en.html

Volume 5, Issue 2 (3-2009) Back to browse issues page
مجله‌ی پژوهش‌های آماری ایران (علمی - پژوهشی) Journal of Statistical Research of Iran JSRI
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