ZHAO Yuesheng, . A Limit Theorem for Lengths of Runs in Markov Chains[J]. Chinese Journal of Applied Probability and Statistics, 1996, 12(1): 65-68.
Citation: ZHAO Yuesheng, . A Limit Theorem for Lengths of Runs in Markov Chains[J]. Chinese Journal of Applied Probability and Statistics, 1996, 12(1): 65-68.
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A Limit Theorem for Lengths of Runs in Markov Chains

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  • In this paper,we extend D. J. Newman’s limit theorem for lengths of runs in independent Bernoulli trails to the case of Markov chains and get the set of limit points for the corresponding sequence.
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