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Original Articles

An extension of the gärtner-ellis Theorem with applications To reversible markov chains And some stationary sequences

Pages 241-266 | Published online: 04 Apr 2007

References

  • Bradley , R. C. 1986 . “ Basic properties of strong mixing conditions ” . In Dependence in probability and statistics , 165 – 192 . Boston : Birkhäuser .
  • Bryc , W. 1992 . On large deviations for uniformly strong mixing sequences . Stochastic Processes and their Appl. , 41 : 191 – 202 .
  • de Acosta , A. 1990 . Large deviations for empirical measures of Markov chains . J. Theoret. Probab. , 3 : 395 – 431 .
  • Dembo , A. and Zeitouni , O. 1993 . “ Large Deviations Techniques and Applications ” . Edited by: Peters , A. K. Mass : Wellesley .
  • Deuschel , D.-J. and Stroock , D. W. 1989 . Large Deviations , Boston : Academic Press .
  • Donsker , M. D. and Varadhan , S. R. S. 1976 . Asymptotic evaluation of certain Markov process expectations for large time-Ill . Comm. Pure. Appl. Math. , 29 : 389 – 461 .
  • Ellis , R. S. 1984 . Large deviations for a general class of random vectors . Ann. Probab , 12 : 1 – 12 .
  • Gärtner , J. 1977 . On large deviations from the invariant measure . Theory. Probab. Appl. , 22 : 24 – 39 .
  • Helmberg , G. 1969 . “ Introduction to Spectral Theory in Hilbert Space ” . Amsterdam : North-Holland .
  • O'brien , G. L. and Vervaat , W. 1991 . “ Capacities, large deviations and loglog laws ” . In stoble processes , Edited by: Cambanis , S. , Samorodnitsky , G. and Taqqu , M. S. 41 – 83 . Boston : Birkhäuser .
  • O'brien , G. L. 1996 . Sequencies of capacities, with connections to large-deviation theory . J. Theoret. Probab. , 9 : 15 – 35 .
  • Revuz , D. 1984 . Markov Chains , North-Holland .
  • Rosenblatt , M. 1956 . “ A central limit theorem and a strong limit condition ” . In Proc. Nat Acad. Sci Vol. 42 , 43 – 47 . U.S.A
  • Rockafellar , R. T. 1972 . Convex Analysis , Princeton : Princeton Univ. press .
  • Sun , J. 1997 . Exponential convergence for sequences of random variables . Statistics and Probability Letters , 34 ( 2 ) : 159 – 164 .
  • Sun , J. 1995 . Large deviations and exponential convergence for random sequences, Ph.D. Thesis , Toronto : York University .

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