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We extend the idea of hidden Markov chains on lines to the situation of hidden Markov chains indexed by Cayley trees. Then, we study the strong law of large numbers for hidden Markov chains indexed by Cayley trees. As a corollary, we get the strong limit law of the conditional sample entropy rate.
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Huang, H. (2012). Strong Law of Large Numbers for Hidden Markov Chains Indexed by Cayley Trees. ISRN Probability and Statistics, 2012, 1–11. https://doi.org/10.5402/2012/768657
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