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- W2385330596 abstract "Martingale method is employed to investigate a local convergence theorem for countable Mar-kov chains indexed by a generalized Bethe tree by using a martingale and Doob martingale convergence theorem and some special inequalities. As corollaries, some strong limit properties for the frequencies of occurrence of states and ordered couples of states for countable Markov chains indexed by the tree are obtained. The strong law of large numbers for the frequencies of occurrence of states and ordered couples of states for countable Markov chains indexed by Bethe tree and Cayley tree is also obtained." @default.
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- W2385330596 date "2005-01-01" @default.
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- W2385330596 title "Some limit properties for Markov chains indexed by generalized Bethe tree" @default.
- W2385330596 hasPublicationYear "2005" @default.
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