Li Mingliang, Liu Zaiming. The Strong Law of Large Numbers and the Law of Large Numbers for Markov Chains in Random Environments[J]. Chinese Journal of Applied Probability and Statistics, 2011, 27(4): 417-424.
Citation:
Li Mingliang, Liu Zaiming. The Strong Law of Large Numbers and the Law of Large Numbers for Markov Chains in Random Environments[J]. Chinese Journal of Applied Probability and Statistics, 2011, 27(4): 417-424.
Li Mingliang, Liu Zaiming. The Strong Law of Large Numbers and the Law of Large Numbers for Markov Chains in Random Environments[J]. Chinese Journal of Applied Probability and Statistics, 2011, 27(4): 417-424.
Citation:
Li Mingliang, Liu Zaiming. The Strong Law of Large Numbers and the Law of Large Numbers for Markov Chains in Random Environments[J]. Chinese Journal of Applied Probability and Statistics, 2011, 27(4): 417-424.
The Strong Law of Large Numbers and the Law of Large Numbers for Markov Chains in Random Environments
In this paper, we primarily study the strong law of large numbers and the law of large numbers of some special functions for Markov chains in unidirectional infinitely Markovian environments, and give some sufficient conditions on the jointly Markov chains and the sample function of the jointly Markov chains.