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Volumn 95, Issue 2, 2001, Pages 203-217

Moderate deviations for Markov chains with atom

Author keywords

Countable state space; Functional empirical processes; Markov chains; Moderate deviations; Primary 60F10; Regeneration chain method

Indexed keywords


EID: 0012951985     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(01)00100-4     Document Type: Article
Times cited : (16)

References (28)
  • 1
    • 0000991156 scopus 로고
    • A new approach to the limit theory of recurrent Markov chains
    • Athreya K.B., Ney P. A new approach to the limit theory of recurrent Markov chains. Trans. Amer. Math. Soc. 245:1978;493-501.
    • (1978) Trans. Amer. Math. Soc. , vol.245 , pp. 493-501
    • Athreya, K.B.1    Ney, P.2
  • 2
    • 0002518336 scopus 로고
    • Probabilities of moderate deviations for independent random vectors in Banach space
    • Chen X. Probabilities of moderate deviations for independent random vectors in Banach space. Chinese J. Appl. Probab. Statist. 7:1991;24-32.
    • (1991) Chinese J. Appl. Probab. Statist. , vol.7 , pp. 24-32
    • Chen, X.1
  • 3
    • 0031591897 scopus 로고    scopus 로고
    • Moderate deviation for m-dependent random variables with Banach space value
    • Chen X. Moderate deviation for m-dependent random variables with Banach space value. Statist. Probab. Lett. 35:1997;123-134.
    • (1997) Statist. Probab. Lett. , vol.35 , pp. 123-134
    • Chen, X.1
  • 5
    • 0000331489 scopus 로고
    • Large deviations for vector-valued functionals of a Markov chain: Lower bounds
    • de Acosta A. Large deviations for vector-valued functionals of a Markov chain: lower bounds. Ann. Probab. 16:1988;925-960.
    • (1988) Ann. Probab. , vol.16 , pp. 925-960
    • De Acosta, A.1
  • 6
    • 0031515488 scopus 로고
    • Moderate deviation for empirical measures of Markov chains: Lower bound
    • de Acosta A. Moderate deviation for empirical measures of Markov chains: lower bound. Ann. Probab. 25:1988;259-284.
    • (1988) Ann. Probab. , vol.25 , pp. 259-284
    • De Acosta, A.1
  • 7
    • 0011692844 scopus 로고
    • Large deviations for empirical measures of Markov chain
    • de Acosta A. Large deviations for empirical measures of Markov chain. J. Theoret. Probab. 3:1990;395-431.
    • (1990) J. Theoret. Probab. , vol.3 , pp. 395-431
    • De Acosta, A.1
  • 9
    • 0042878084 scopus 로고    scopus 로고
    • Moderate deviation for empirical measure of Markov chains: Upper bound
    • de Acosta A., Chen X. Moderate deviation for empirical measure of Markov chains: Upper bound. J. Theoret. Probab. 4.11:1998;75-110.
    • (1998) J. Theoret. Probab. , vol.411 , pp. 75-110
    • De Acosta, A.1    Chen, X.2
  • 14
    • 0042507595 scopus 로고    scopus 로고
    • Uniform moderate deviations of functional empirical processes of Markov chains
    • Guillin A. Uniform moderate deviations of functional empirical processes of Markov chains. Probab. Math. Stat. 20(2):2000;237-260.
    • (2000) Probab. Math. Stat. , vol.20 , Issue.2 , pp. 237-260
    • Guillin, A.1
  • 15
    • 0012817484 scopus 로고    scopus 로고
    • Moderate deviations of inhomogeneous functional of Markov processes and application to averaging
    • Guillin A. Moderate deviations of inhomogeneous functional of Markov processes and application to averaging. Stochast. Proc. Appl. 92(2):2001;287-313.
    • (2001) Stochast. Proc. Appl. , vol.92 , Issue.2 , pp. 287-313
    • Guillin, A.1
  • 16
    • 0002170064 scopus 로고
    • Sur les grandes déviations modérées des sommes de variables aléatoires vectorielles indépendantes de même loi
    • Ledoux M. Sur les grandes déviations modérées des sommes de variables aléatoires vectorielles indépendantes de même loi. Ann. Inst. H. Poincaré 35:1992;123-134.
    • (1992) Ann. Inst. H. Poincaré , vol.35 , pp. 123-134
    • Ledoux, M.1
  • 17
    • 38249020699 scopus 로고
    • Uniform CLT for Markov chains with a countable state space
    • Levental S. Uniform CLT for Markov chains with a countable state space. Stochast. Proc. Appl. 34:1990;245-253.
    • (1990) Stochast. Proc. Appl. , vol.34 , pp. 245-253
    • Levental, S.1
  • 20
    • 0000427555 scopus 로고
    • A splitting technique for Harris recurrent chains
    • Nummelin E. A splitting technique for Harris recurrent chains. Z. Wahrs. nerw Gebiete. 43:1978;309-318.
    • (1978) Z. Wahrs. Nerw Gebiete , vol.43 , pp. 309-318
    • Nummelin, E.1
  • 22
    • 0000099991 scopus 로고
    • Geometric ergodicity of Harris recurrent Markov chains with applications to renewal theory
    • Nummelin E., Tuominen P. Geometric ergodicity of Harris recurrent Markov chains with applications to renewal theory. Stochast. Proc. Appl. 12:1982;187-202.
    • (1982) Stochast. Proc. Appl. , vol.12 , pp. 187-202
    • Nummelin, E.1    Tuominen, P.2
  • 23
    • 0010790837 scopus 로고
    • Geometric ergodicity and R-positivity for general Markov chains
    • Nummelin E., Tweedie R.L. Geometric ergodicity and R-positivity for general Markov chains. Ann. Probab. 6:1978;404-420.
    • (1978) Ann. Probab. , vol.6 , pp. 404-420
    • Nummelin, E.1    Tweedie, R.L.2
  • 24
    • 0012902468 scopus 로고    scopus 로고
    • Uniform CLT for Markov chains with a countable state space
    • Tsai T. Uniform CLT for Markov chains with a countable state space. Taiwanese J. Math. 1(4):1997;481-498.
    • (1997) Taiwanese J. Math. , vol.1 , Issue.4 , pp. 481-498
    • Tsai, T.1
  • 25
    • 0043008540 scopus 로고    scopus 로고
    • Empirical law of the iterated logarithm for Markov chains with a countable state space
    • Tsai T. Empirical law of the iterated logarithm for Markov chains with a countable state space. Stochast. Proc. Appl. 89:2000;175-191.
    • (2000) Stochast. Proc. Appl. , vol.89 , pp. 175-191
    • Tsai, T.1
  • 27
    • 0002338279 scopus 로고
    • Large deviations, moderate deviations and LIL for empirical processes
    • Wu L.M. Large deviations, moderate deviations and LIL for empirical processes. Ann. Probab. 22:1994;17-27.
    • (1994) Ann. Probab. , vol.22 , pp. 17-27
    • Wu, L.M.1
  • 28
    • 0001415423 scopus 로고
    • Moderate deviations of dependent random variables related to CLT
    • Wu L.M. Moderate deviations of dependent random variables related to CLT. Ann. Probab. 23:1995;420-445.
    • (1995) Ann. Probab. , vol.23 , pp. 420-445
    • Wu, L.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.