IDENTIFICATION OF THE RATE FUNCTION FOR LARGE DEVIATIONS OF AN IRREDUCIBLE MARKOV CHAIN
文献类型:期刊论文
作者 | Liu, Wei1; Wu, Liming2,3 |
刊名 | ELECTRONIC COMMUNICATIONS IN PROBABILITY
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出版日期 | 2009-11-29 |
卷号 | 14页码:540-551 |
关键词 | Large deviations irreducible Markov processes Feynman-Kac semigroups |
ISSN号 | 1083-589X |
英文摘要 | For an irreducible Markov chain (X(n)) n >= 0 we identify the rate function governing the large deviation estimation of empirical mean 1/n Sigma(n-1)(k=0) f(X(k)) by means of the Donsker-Varadhan's entropy. That allows us to obtain the lower bound of large deviations for the empirical measure 1/n Sigma(n-1)(k=0) delta(Xk) in full generality. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000272620600002 |
出版者 | UNIV WASHINGTON, DEPT MATHEMATICS |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7131] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Liu, Wei |
作者单位 | 1.Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China 2.Univ Clermont Ferrand, CNRS, Lab Math Appl, UMR 6620, F-63177 Clermont Ferrand, France 3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Liu, Wei,Wu, Liming. IDENTIFICATION OF THE RATE FUNCTION FOR LARGE DEVIATIONS OF AN IRREDUCIBLE MARKOV CHAIN[J]. ELECTRONIC COMMUNICATIONS IN PROBABILITY,2009,14:540-551. |
APA | Liu, Wei,&Wu, Liming.(2009).IDENTIFICATION OF THE RATE FUNCTION FOR LARGE DEVIATIONS OF AN IRREDUCIBLE MARKOV CHAIN.ELECTRONIC COMMUNICATIONS IN PROBABILITY,14,540-551. |
MLA | Liu, Wei,et al."IDENTIFICATION OF THE RATE FUNCTION FOR LARGE DEVIATIONS OF AN IRREDUCIBLE MARKOV CHAIN".ELECTRONIC COMMUNICATIONS IN PROBABILITY 14(2009):540-551. |
入库方式: OAI收割
来源:数学与系统科学研究院
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