On Tsallis Relative Entropy Rate of Hidden Markov Models

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NIKOORAVESH ZOHRE

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Journal Paper

Paper Information

Journal: JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI) Year:2018 | Volume:15 | Issue:1 Page(s): 83-98

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Title

On Tsallis Relative Entropy Rate of Hidden Markov Models

Author(s)

NIKOORAVESH ZOHRE

Keywords

Tsallis relative entropy rate

stochastic channel

hidden Markov models

Abstract

In this paper we study the Tsallis relative entropy rate between a homogeneous Markov chain and a hidden Markov chain defined by observing the output of a discrete stochastic channel whose input is the finite state space homogeneous stationary Markov chain. For this purpose, we obtain the Tsallis relative entropy between two finite subsequences of above mentioned chains with the help of the definition of Tsallis relative entropy between two random variables then we define the Tsallis relative entropy rate between these stochastic processes. Finally, we calculate Tsallis relative entropy rate for some hidden Markov models.

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APA: Copy

NIKOORAVESH, ZOHRE. (2018). On Tsallis Relative Entropy Rate of Hidden Markov Models. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), 15(1), 83-98. SID. https://sid.ir/paper/783351/en

Vancouver: Copy

NIKOORAVESH ZOHRE. On Tsallis Relative Entropy Rate of Hidden Markov Models. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI)[Internet]. 2018;15(1):83-98. Available from: https://sid.ir/paper/783351/en

IEEE: Copy

ZOHRE NIKOORAVESH, “On Tsallis Relative Entropy Rate of Hidden Markov Models,” JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), vol. 15, no. 1, pp. 83–98, 2018, [Online]. Available: https://sid.ir/paper/783351/en

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