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Large deviations for fields with stationary independent increments

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Abstract

In this paper, we discuss the large deviation properties of fields with stationary independent increments.

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References

  1. Adler, R.J., Monrad, D., Scissors, R.H. and Wilson, R.J. Representations, Decompositions and Sample Function Continuity of Random Fields with Independent Increments.Stoch. Proc. Appl., 1983, 15: 3–30.

    Article  Google Scholar 

  2. Chernoff, H. A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the Sum of Observations.Ann. Math. Statist., 1952, 23: 493–507.

    Google Scholar 

  3. Chow, Y.S. and Teicher, H. Probability Theory. Springer-Verlag, 1978.

  4. Ellis, R.S. Large Deviations for a General Class of Random Vectors.Ann. Probab., 1984, 12: 1–12.

    Google Scholar 

  5. Freidlin, M.I. and Wentzell, A.D. Random Perturbations of Dynamical Systems. Springer-Verlag, 1984.

  6. Gihman, I.I. and Skorohod, A.V. The Theory of Stochastic Processes I. Springer-Verlag, 1974.

  7. Lynch, J. and Setturaman, J. Large Deviations for Processes with Independent Increments.Ann. Probab., 1987, 15: 610–627.

    Google Scholar 

  8. Olla, S. Large Deviations for Gibbs Random Fields.Probab. Th. Rel. Fields, 1988, 77: 343–357.

    Article  Google Scholar 

  9. Straf, M. Weak Convergence of Stochastic Processes with Several Parameters.Proc. 6th Berkeley Sympos. Math. Statist. Probab. Univ. Calif, 1972, I: 187–221.

    Google Scholar 

  10. Stroock, D.W. An Introduction to the Theory of Large Deviations. Heidelberg, Berlin, Springer-Verlag, New York, 1984.

    Google Scholar 

  11. Varadhan, S.R.S. Asymptotic Probabilities and Differential Equations.Comm. Pure Appl. Math., 1966, 19: 261–286.

    Google Scholar 

  12. Varadhan, S.R.S. Large Deviations and Applications. SIAM, Philadephia, 1984.

    Google Scholar 

  13. Wichura, M.J. Some Strassen-type Laws of the Iterated Logarithm for Multiparameter Stochastic Processes with Independent Increments.Ann. Probab., 1973, 1: 272–296.

    Google Scholar 

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This project is partially supported by the National Natural Science Foundation of China.

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Gao, F. Large deviations for fields with stationary independent increments. Acta Mathematicae Applicatae Sinica 10, 288–301 (1994). https://doi.org/10.1007/BF02006859

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  • DOI: https://doi.org/10.1007/BF02006859

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