FANG Da fan. Shannon-McMillan-Breiman Theorem for Markov Chains in Markovian Environments[J]. Chinese Journal of Applied Probability and Statistics, 2000, 16(3): 295-298.
Citation:
FANG Da fan. Shannon-McMillan-Breiman Theorem for Markov Chains in Markovian Environments[J]. Chinese Journal of Applied Probability and Statistics, 2000, 16(3): 295-298.
FANG Da fan. Shannon-McMillan-Breiman Theorem for Markov Chains in Markovian Environments[J]. Chinese Journal of Applied Probability and Statistics, 2000, 16(3): 295-298.
Citation:
FANG Da fan. Shannon-McMillan-Breiman Theorem for Markov Chains in Markovian Environments[J]. Chinese Journal of Applied Probability and Statistics, 2000, 16(3): 295-298.
Shannon-McMillan-Breiman Theorem for Markov Chains in Markovian Environments
In this paper, we give Shannon-McMillan- Breiman theorem for countable Markov chains in markovian environments. This result is naturally generalization of the corresponding result for time-homogeneous Markov chains with finite state space.