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Large deviations for sums of i.i.d. random compact sets
Author(s):
Raphaël
Cerf
Journal:
Proc. Amer. Math. Soc.
127
(1999),
2431-2436.
MSC (1991):
Primary 60D05, 60F10
Posted:
April 8, 1999
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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
Email:
Raphael.Cerf@math.u-psud.fr
DOI:
10.1090/S0002-9939-99-04788-7
PII:
S 0002-9939(99)04788-7
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
Posted:
April 8, 1999
Communicated by:
Stanley Sawyer
Copyright of article:
Copyright
1999,
American Mathematical Society
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