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STATISTICS OF A CLASS OF MARKOV CHAINS
作者姓名:DENGYingchun  CAOXianbing
作者单位:DENG Yingchun(Department of Mathematics,Hunan Normal University,Changsha 410081,China) CAO Xianbing(Department of Basic Sciences,Beijing Technology and Business University,Beijing 100037,China)
基金项目:This research is supported by Hunan Province Natural Science Foundation of China(OOJJY2003),Doctoral Program Foundation of Institute of Higher Education of China, and Beijing Natural Science Foundation of China(1042007 ).
摘    要:In this paper we prove that the distributions of their sojourn time and hitting time at one special state for random walks which are allowed to be finite or infinite and Markov chains on star-graphs with discrete time can uniquely determine the probability distribution of the whole chains. This result also suggests a new statistical method for Markov chains.

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STATISTICS OF A CLASS OF MARKOV CHAINS
DENGYingchun CAOXianbing.STATISTICS OF A CLASS OF MARKOV CHAINS[J].Journal of Systems Science and Complexity,2004,17(3):387-398.
Authors:DENG Yingchun
Abstract:In this paper we prove that the distributions of their sojourn time and hitting time at one special state for random walks which are allowed to be finite or infinite and Markov chains on star-graphs with discrete time can uniquely determine the probability distribution of the whole chains. This result also suggests a new statistical method for Markov chains.
Keywords:Hitting time  sojourn time  random walk  star-graph
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