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Large deviations for sums
of i.i.d. random compact sets

Author: Raphaël Cerf
Journal: Proc. Amer. Math. Soc. 127 (1999), 2431-2436
MSC (1991): Primary 60D05, 60F10
Published electronically: April 8, 1999
MathSciNet review: 1487361
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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

Raphaël Cerf
Affiliation: Université Paris Sud, Mathématique, Bâtiment $425$, 91405 Orsay Cedex, France

Keywords: Cram\'{e}r theorem, random sets, large deviations
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
Article copyright: © Copyright 1999 American Mathematical Society

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