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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A large deviation principle for random upper semicontinuous functions
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by Pedro Terán PDF
Proc. Amer. Math. Soc. 134 (2006), 571-580

Abstract:

We obtain necessary and sufficient conditions in the Large Deviation Principle for random upper semicontinuous functions on a separable Banach space. The main tool is the recent work of Arcones on the LDP for empirical processes.
References
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Additional Information
  • Pedro Terán
  • Affiliation: Facultad de Ciencias Económicas y Empresariales, Departamento de Métodos Estadísticos, Universidad de Zaragoza, Gran Vía 2. E-50005 Zaragoza, Spain
  • Email: teran@unizar.es
  • Received by editor(s): July 9, 2004
  • Received by editor(s) in revised form: September 10, 2004
  • Published electronically: July 21, 2005
  • Additional Notes: This paper is dedicated to the victims of the terrorist attack on Madrid, March 11, 2004.
    This research has been partially funded by the research grant BFM 2002-03263 from the Spanish Ministerio de Ciencia y Tecnología.
  • Communicated by: Richard C. Bradley
  • © Copyright 2005 Pedro Terán
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 571-580
  • MSC (2000): Primary 60F10, 03E72; Secondary 60B12, 60D05
  • DOI: https://doi.org/10.1090/S0002-9939-05-08033-0
  • MathSciNet review: 2176026