| 非齐次马尔可夫链的Gesaro—极限定理 |
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| 引用本文： | 刘素芳.非齐次马尔可夫链的Gesaro—极限定理[J].数学理论与应用,2000,20(1):119-123. |
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| 作者姓名： | 刘素芳 |
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| 作者单位： | 中山医科大学数学教研室,广州 |
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| 摘 要： | 本提出了新的非齐次马尔可夫链的遍历条件，并在此条件下，首次证明了非齐次马尔可夫链转移概率的Ｇｅｓａｒｏ－极限定理。另外，本还给出了一个例子，用它表明本的条件确实比Ｄｏｅｂｌｉｎ条件要弱。
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| 关 键 词： | 遍历条件 Gesaro－极限定理 非齐次马氏链 |
Cesaro-Limit Theorem for Nonhomogeneous Markov Chains |
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| Liu Sufang.Cesaro-Limit Theorem for Nonhomogeneous Markov Chains[J].Mathematical Theory and Applications,2000,20(1):119-123. |
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| Authors: | Liu Sufang |
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| Abstract: | In this paper,a new weak-ergodic condition weaker than Doeblin's one is present,and then the Ce-saro-limit theorem for non-homogeneous Markov chains is proved under this condition. More,an example is given for which the conditions in this paper are satisfied,whereas,Deeblin condition fail to hold. |
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| Keywords: | Nonhomogenous Markov chain ergodic condition Cesaro-limit theorem |
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