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中文摘要：
假定隐藏的马尔可夫链为非齐次，研究隐非齐次马尔可夫模型的一些强极限定理．首先在引理中得出了隐非齐次马尔可夫模型的一些性质，从而导出了隐非齐次马尔可夫模型的三元函数一类平均值的强极限定理．作为定理的推论，得到了隐非齐次马尔可夫模型状态出现频率的一类强极限定理．隐马尔可夫模型可应用于弱相依随机变量的建模上，也可用作研究发音过程、神经生理学与生物遗传等方面的工具．
英文摘要：
The strong limit theorem of hidden nonhomogeneous Markov model is studied when the hidden chains are nonhomogeneous Markov chains. At first some properties on nonhomogeneous Markov models are obtained in the lemma, then a limit theorem for the average of the three variables function of hidden nonhomogeneous Markov model is given. As corollaries, several strong limit theorems about occurred frequency of states for hidden nonhomogeneous Markov model are obtained. Hidden Markov models have been widely used for modeling sequences of weakly dependent random variables, with applications in as such as speech processing,neurophysiology and biology.
同期刊论文项目
同项目期刊论文
Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded deg
The asymptotoc equipartition property for nonhomogeneous Markov chains indexed by a homogeneous tree
The strong law of large numbers on the frequencies of states and ordered couples of states for Marko
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