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Refinements of the Gibbs conditioning principle
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  • Published: March 1996

Refinements of the Gibbs conditioning principle

  • A. Dembo1 &
  • O. Zeitouni2 

Probability Theory and Related Fields volume 104, pages 1–14 (1996)Cite this article

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  • 25 Citations

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Summary

Refinements of Sanov's large deviations theorem lead via Csiszár's information theoretic identity to refinements of the Gibbs conditioning principle which are valid for blocks whose length increase with the length of the conditioning sequence. Sharp bounds on the growth of the block length with the length of the conditioning sequence are derived.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Department of Statistics, Stanford University, Stanford, California, USA

    A. Dembo

  2. Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa, Israel

    O. Zeitouni

Authors
  1. A. Dembo
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  2. O. Zeitouni
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Additional information

Partially supported by NSF DMS92-09712 grant and by a US-Israel BSF grant

Partially supported by a US-Israel BSF grant and by the fund for promotion of research at the Technion

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Dembo, A., Zeitouni, O. Refinements of the Gibbs conditioning principle. Probab. Th. Rel. Fields 104, 1–14 (1996). https://doi.org/10.1007/BF01303799

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  • Received: 10 April 1994

  • Revised: 08 May 1995

  • Issue Date: March 1996

  • DOI: https://doi.org/10.1007/BF01303799

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Mathematics Subject Classification (1991)

  • 60F10
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