三重循环马氏链的强大数定律

doi:10.3969/j.issn.1671-7775.2010.003.026

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Abstract In order to study the strong limit theorems for circular Markov chains in nonhomogenous Markovchains,firstly,the definition of three-order circular Markov chains is introduced.Then by applyingthe limit property for functions of nonhomogenous Markov chains,the limit property for the frequenciesof occurrence of states for three-order circular Markov chains is established.Finally,the strong law of large numbers on the frequencies of occurrence of states for three-order circular Markov chains is obtained,which offers a theoretical basis for the applications of circular Markov chains

Key words： three-order circular Markov chains ')" href="#">three-order circular Markov chains state frequency ')" href="#">state frequency strong ergodic')" href="#">strong ergodic transition matrix')" href="#">transition matrix strong law of large numbers ')" href="#">strong law of large numbers

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	Yang Weiguo
	Liang Peipei

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Yang Weiguo,Liang Peipei. Strong law of large numbers for three-order circular Markov chains[J]. Journal of JIangsu University(Natural Science Eidt, 2010, 31(3): 369-372.

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http://zzs.ujs.edu.cn/xbzkb/EN/10.3969/j.issn.1671-7775.2010.003.026 OR http://zzs.ujs.edu.cn/xbzkb/EN/Y2010/V31/I3/369

[1]	Yang Weiguo, Liu Jie- . *Strong laws of large numbers for second order finite nonhomogeneous Markov chains*[J]. Journal of JIangsu University(Natural Science Eidt, 2009, 30(2): 209-212.