THE STRONG LIMIT THEOREM FOR RELATIVE ENTROPY DENSITY RATES BETWEEN TWO ASYMPTOTICALLY CIRCULAR MARKOV CHAINS
2018 ◽
Vol 33
(2)
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pp. 161-171
Keyword(s):
In this paper, we are going to study the strong limit theorem for the relative entropy density rates between two finite asymptotically circular Markov chains. Firstly, we prove some lammas on which the main result based. Then, we establish two strong limit theorem for non-homogeneous Markov chains. Finally, we obtain the main result of this paper. As corollaries, we get the strong limit theorem for the relative entropy density rates between two finite non-homogeneous Markov chains. We also prove that the relative entropy density rates between two finite non-homogeneous Markov chains are uniformly integrable under some conditions.
2015 ◽
Vol 100
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pp. 12-18
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Keyword(s):
1984 ◽
Vol 17
(1)
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pp. 127-136
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Keyword(s):
2002 ◽
Vol 32
(3)
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pp. 379-387
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Keyword(s):
1996 ◽
Vol 12
(3)
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pp. 328-331
1978 ◽
Vol 15
(02)
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pp. 225-234
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2014 ◽
Vol 44
(2)
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pp. 428-439
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2010 ◽
Vol 24
(2)
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pp. 279-288
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2003 ◽
Vol 84
(2)
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pp. 262-273
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