| 一类隐非齐次马尔可夫模型的强极限定理 |
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| 引用本文： | 吴小太.一类隐非齐次马尔可夫模型的强极限定理[J].安徽机电学院学报,2008(2):27-30. |
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| 作者姓名： | 吴小太 |
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| 作者单位： | 安徽工程科技学院应用数理系,安徽芜湖241000 |
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| 基金项目： | 安徽工程科技学院青年基金资助项目（2006yq023） |
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| 摘 要： | 在假定隐藏的马氏链为非齐次且从隐藏链到观测链的转移矩阵列也与时刻n有关的情况下,对一类在发音过程中常用的隐马尔可夫模型进行研究.这类模型的主要特点是观测链不仅受当前状态的影响还与上一时刻的状态有关.先给出了该模型的强极限定律,然后得出了状态出现频率的强极根定理.
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| 关 键 词： | 隐马尔可夫模型 非齐次马尔可夫链 强极限定理 |
Strong limit theorem for a class of hidden nonhomogeneous Markov models |
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| WU Xiao-tai.Strong limit theorem for a class of hidden nonhomogeneous Markov models[J].Journal of Anhui Institute of Mechanical and Electrical Engineering,2008(2):27-30. |
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| Authors: | WU Xiao-tai |
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| Affiliation: | WU Xiao-tai (Dep. of Appl. Math. ＆ Phy. ,Anhui University of Technology and Science, Wuhu 241000, China) |
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| Abstract: | A class of hidden Markov models is researched when the Markov chain is nonhomogeneous and the transition matrix from hidden chains to observed chains depends on n. This hidden Markov model is widely used in studying the speech process,its characteristic is that the observed chain not only depends on this time＇s state but also on the last state. This paper gives the strong limit theorem of this model,and some strong limit theorems about the frequency of occurrence. |
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| Keywords: | hidden Markov models nonhomogeneous Markov chain strong limit theorem |
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