RecordNumber
3095
Author
Nikooravesh, Zohre
Crop_Body
Zohre Nikooravesh
Title of Article
On Tsallis Relative Entropy Rate of Hidden Markov Models
Title Of Journal
مجله پژوهشهاي آماري ايران
Publication Year
2018 (1397)
Volum
15
Issue Number
1
Page
83-97
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.