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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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Large deviations for sums of i.i.d. random compact sets
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by Raphaël Cerf PDF
Proc. Amer. Math. Soc. 127 (1999), 2431-2436 Request permission

Abstract:

We prove a large deviation principle for Minkowski sums of i.i.d. random compact sets in a Banach space, that is, the analog of Cramér theorem for random compact sets.
References
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Additional Information
  • Raphaël Cerf
  • Affiliation: Université Paris Sud, Mathématique, Bâtiment $425$, 91405 Orsay Cedex, France
  • MR Author ID: 349311
  • Email: Raphael.Cerf@math.u-psud.fr
  • Received by editor(s): September 10, 1997
  • Received by editor(s) in revised form: October 27, 1997
  • Published electronically: April 8, 1999
  • Communicated by: Stanley Sawyer
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 2431-2436
  • MSC (1991): Primary 60D05, 60F10
  • DOI: https://doi.org/10.1090/S0002-9939-99-04788-7
  • MathSciNet review: 1487361