Moderate deviations for empirical measures of Markov chains: Lower bounds

被引:0
|
作者
de Acosta, A [1 ]
机构
[1] Case Western Reserve Univ, Dept Math, Cleveland, OH 44106 USA
来源
ANNALS OF PROBABILITY | 1997年 / 25卷 / 01期
关键词
moderate deviations; Markov chains; ergodicity of degree 2;
D O I
暂无
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We obtain lower bounds for moderate deviations of empirical measures of a Markov chain with general state space under the assumption of ergodicity of degree 2. We derive an explicit expression for the rate function.
引用
收藏
页码:259 / 284
页数:26
相关论文
共 50 条
  • [41] Asymptotic theory of large deviations for Markov chains
    Lerman, G
    Schuss, Z
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1998, 58 (06) : 1862 - 1877
  • [42] Large deviations for Markov chains - Theorem E
    不详
    LIMIT THEOREMS FOR MARKOV CHAINS AND STOCHASTIC PROPERTIES OF DYNAMICAL SYSTEMS BY QUASI-COMPACTNESS, 2001, 1766 : 49 - 59
  • [43] Large Deviations for Additive Functionals of Markov Chains
    de Acosta, Alejandro D.
    Ney, Peter
    MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 228 (1070) : 1 - +
  • [44] Censoring Markov chains and stochastic bounds
    Fourneau, J. -M.
    Pekergin, N.
    Younes, S.
    FORMAL METHODS AND STOCHASTIC MODELS FOR PERFORMANCE EVALUATION, 2007, 4748 : 213 - +
  • [45] On Measures Driven by Markov Chains
    Heurteaux, Yanick
    Stos, Andrzej
    JOURNAL OF STATISTICAL PHYSICS, 2014, 157 (06) : 1046 - 1061
  • [46] Boundary measures of Markov chains
    Cawley, E
    Marcus, B
    Tuncel, S
    ISRAEL JOURNAL OF MATHEMATICS, 1996, 94 : 111 - 123
  • [47] On Measures Driven by Markov Chains
    Yanick Heurteaux
    Andrzej Stos
    Journal of Statistical Physics, 2014, 157 : 1046 - 1061
  • [48] Occupation measures for Markov chains
    Dinwoodie, IH
    Ney, P
    JOURNAL OF THEORETICAL PROBABILITY, 1995, 8 (03) : 679 - 691
  • [49] Lower bounds for Lucas chains
    Kutz, M
    SIAM JOURNAL ON COMPUTING, 2002, 31 (06) : 1896 - 1908
  • [50] Erdos measures, sofic measures, and Markov chains
    Bezhaeva Z.I.
    Oseledets V.I.
    Journal of Mathematical Sciences, 2007, 140 (3) : 357 - 368