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隐非齐次马尔可夫模型的强大数定律 被引量：1

The strong law of large numbers of nonhomogeneous hidden Markov models
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摘要 在状态集都有限的情况下,给出了隐马尔可夫模型的一些性质定理.利用马氏链的强极限定理,得到了隐非齐次马尔可夫模型的强大数定律. In this paper, we get some properties of hidden Markov models when the sets are limited. By the strong limited theorem of Markov chains, we obtained some strong laws of large numbers for nonhomogeneous hidden Markov model.
作者 吴小太 吴艳蕾
机构地区 安徽工程科技学院数学系
出处 《纯粹数学与应用数学》 CSCD 2009年第3期502-507,共6页 Pure and Applied Mathematics
基金 国家自然科学基金(10571076 10826098) 安徽工程科技学院院青年基金(2007YQ025)
关键词 隐马尔科夫模型 隐非齐次马尔可夫模型 强大数定律 hidden Markov models, nonhomogeneous hidden Markov models, strong law of large numbers
分类号 O211.6 [理学—概率论与数理统计]
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参考文献10

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二级参考文献12

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共引文献4

同被引文献11

  • 1龚光鲁,钱敏平.应用随机过程[M].北京:清华大学出版社,2004.
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  • 10Yang W G. Strong law of large numbers for countable nonhomogeneous Markov chains [J]. Linear Algebraand its Application, 2009,430:3009-3018.

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纯粹数学与应用数学
2009年 第3期

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