Probability Theory and Related Fields

, Volume 105, Issue 4, pp 529–543

Dominating points and large deviations for random vectors

  • U. Einmahl
  • J. Kuelbs


We establish a representation formula useful for obtaining precise large deviation probabilities for convex open subsets of a Banach space. These estimates are based on the existence of dominating points in this setting.

Mathematics Subject Classification (1991)

60B12 60F10 


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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • U. Einmahl
    • 1
  • J. Kuelbs
    • 2
  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA
  2. 2.Department of MathematicsUniversity of WisconsinMadisonUSA

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