Nonhomogeneous Markov chain,Random transition probability, Harmonic mean, Differentiation on a net,Strong limit theorem.
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A Strong Limit Theorem for the Harmonic Mean of the Random Transition Probabilities of Finite Nonhomogeneous Markov Chains
Liu Wen. A Strong Limit Theorem for the Harmonic Mean of the Random Transition Probabilities of Finite Nonhomogeneous Markov Chains
[J].Acta mathematica scientia,Series A, 2000, 20(1): 81-84.
1.Rosenblatt-Roth M.Some theorems concerning the strong law numbers for nonhomogeneous Markov chains.Anna Math Statist,1964,35:566-576
2.朱成熹,陈俊雅,魏文元,离散参量非齐次马尔可夫链函数的强大数定律。数学学报,1988,31(4):464-474
3.刘文,杨卫国。一类对可列非齐次马氏链普遍成立的强大数定理。科学能报,1992,37(16):1448-1451
4.刘文,杨卫国。可列非齐次马氏链的若干极限定理。应用数学学报,1992,15(4):479-489
5.Liu Guoxin,Liu Wen.On the strong Law of large numbers of functionls of countable nonhomogenous Markov chains.Stochastic Process.Appl,1994,50:375-391
6.Liu Guoxin,Yang Weiguo.An extension of shannon-McMillan theorem and some limit properties for nonhomogenous Markov chains.Stochastic Process.Appl,1996,61:129-145
7.Hewitt E,Stromberg K R.Real and abstract analysis-A modern treatment of the theory of functions of a real variable.New York:Springer,1978
8.刘文,陈爽。N 值随机变量序列的AEP型极限及若干强偏差定理。数学物理学报,1998,18(4):444-450