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
  • [11] Lower and upper bounds for reversible Markov chains
    Delmotte, T
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 324 (09): : 1053 - 1058
  • [12] The functional moderate deviations for Harris recurrent Markov chains and applications
    Chen, X
    Guillin, A
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2004, 40 (01): : 89 - 124
  • [13] Large and moderate deviations for the empirical measures of an exchangeable sequence
    Daras, T
    STATISTICS & PROBABILITY LETTERS, 1997, 36 (01) : 91 - 100
  • [14] On Probabilities of Moderate Deviations of Empirical Measures for Contiguous Distributions
    Ermakov M.S.
    Journal of Mathematical Sciences, 2018, 229 (6) : 671 - 677
  • [15] Large deviations of the empirical flow for continuous time Markov chains
    Bertini, Lorenzo
    Faggionato, Alessandra
    Gabrielli, Davide
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2015, 51 (03): : 867 - 900
  • [16] Large and moderate deviations for bounded functions of slowly mixing Markov chains
    Dedecker, Jerome
    Gouezel, Sebastien
    Merlevede, Florence
    STOCHASTICS AND DYNAMICS, 2018, 18 (02)
  • [17] Lower bounds for moments of global scores of pairwise Markov chains
    Lember, Juri
    Matzinger, Heinrich
    Sova, Joonas
    Zucca, Fabio
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2018, 128 (05) : 1678 - 1710
  • [18] CONTRACTIVE COUPLING RATES AND CURVATURE LOWER BOUNDS FOR MARKOV CHAINS
    Pedrotti, Francesco
    ANNALS OF APPLIED PROBABILITY, 2025, 35 (01): : 196 - 250
  • [19] LOWER BOUNDS FOR ONE-DIMENSIONAL MARKOV-CHAINS
    COULHON, T
    SALOFFCOSTE, L
    PROBABILITY THEORY AND RELATED FIELDS, 1993, 97 (03) : 423 - 431
  • [20] Moderate deviations of hitting times of a family of density-dependent Markov chains
    He, Yuheng
    Xue, Xiaofeng
    STATISTICS & PROBABILITY LETTERS, 2023, 195