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Large and moderate deviations for the empirical measures of an exchangeable sequence

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  • Daras, Tryfon

Abstract

In this paper we prove large and moderate deviations results for certain sequences of mixtures of probability measures. These results give large and moderate deviations for the empirical measures of an exchangeable sequence.

Suggested Citation

  • Daras, Tryfon, 1997. "Large and moderate deviations for the empirical measures of an exchangeable sequence," Statistics & Probability Letters, Elsevier, vol. 36(1), pages 91-100, November.
    • Handle: RePEc:eee:stapro:v:36:y:1997:i:1:p:91-100
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    Cited by:

    1. Eichelsbacher, Peter & Schmock, Uwe, 1998. "Exponential approximations in completely regular topological spaces and extensions of Sanov's theorem," Stochastic Processes and their Applications, Elsevier, vol. 77(2), pages 233-251, September.
    2. L. Wu, 2004. "Large Deviation Principle for Exchangeable Sequences: Necessary and Sufficient Condition," Journal of Theoretical Probability, Springer, vol. 17(4), pages 967-978, October.
    3. Daras, Tryfon, 2004. "Large deviations for the empirical process of a symmetric measure: a lower bound," Statistics & Probability Letters, Elsevier, vol. 66(2), pages 197-204, January.
    4. Ma, Yutao & Song, Qiongxia & Wu, Liming, 2007. "Large deviation principles with respect to the [tau]-topology for exchangeable sequences: A necessary and sufficient condition," Statistics & Probability Letters, Elsevier, vol. 77(3), pages 239-246, February.

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