Large deviations for random dynamical systems and applications to hidden Markov models
文献类型：期刊论文
| 作者 | Hu, Shulan2; Wu, Liming1,3 |
| 刊名 | STOCHASTIC PROCESSES AND THEIR APPLICATIONS
 |
| 出版日期 | 2011 |
| 卷号 | 121期号:1页码:61-90 |
| 关键词 | Large deviation Random dynamical systems Hidden Markov models Maximum likelihood estimator |
| ISSN号 | 0304-4149 |
| DOI | 10.1016/j.spa.2010.07.003 |
| 英文摘要 | In this paper we prove the large deviation principle (LDP) for the occupation measures of not necessarily irreducible random dynamical systems driven by Markov processes The LDP for not necessarily irreducible dynamical systems driven by 11 d sequence is derived As a further application we establish the LDP for extended hidden Markov models filling a gap in the literature and obtain large deviation estimations for the log likelihood process and maximum likelihood estimator of hidden Markov models (c) 2010 Elsevier B V All rights reserved |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000284815900004 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12959]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wu, Liming |
| 作者单位 | 1.Univ Clermont Ferrand, CNRS, Lab Math Appl, UMR 6620, F-63177 Aubiere, France 2.Zhongnan Univ Econ & Law, Dept Stat, Wuhan 430073, Hubei, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, Shulan,Wu, Liming. Large deviations for random dynamical systems and applications to hidden Markov models[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS,2011,121(1):61-90. |
| APA | Hu, Shulan,&Wu, Liming.(2011).Large deviations for random dynamical systems and applications to hidden Markov models.STOCHASTIC PROCESSES AND THEIR APPLICATIONS,121(1),61-90. |
| MLA | Hu, Shulan,et al."Large deviations for random dynamical systems and applications to hidden Markov models".STOCHASTIC PROCESSES AND THEIR APPLICATIONS 121.1(2011):61-90. |
入库方式： OAI收割
来源：数学与系统科学研究院
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