中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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
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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