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The central limit problem for convex bodies
Author(s):
Milla
Anttila;
Keith
Ball;
Irini
Perissinaki
Journal:
Trans. Amer. Math. Soc.
355
(2003),
4723-4735.
MSC (2000):
Primary 52A22;
Secondary 60F05
Posted:
July 24, 2003
Errata:
Trans. Amer. Math. Soc. 356 (2004), 2137.
MathSciNet review:
1997580
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Abstract:
It is shown that every symmetric convex body which satisfies a kind of weak law of large numbers has the property that almost all its marginal distributions are approximately Gaussian. Several quite broad classes of bodies are shown to satisfy the condition.
References:
-
- 1.
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- 2.
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- 3.
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- 9.
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Additional Information:
Milla
Anttila
Affiliation:
Department of Mathematics, University of Kuopio, pl 1627, 70211 Kuopio, Finland
Email:
meanttila@hytti.uku.fi
Keith
Ball
Affiliation:
Department of Mathematics, University College, University of London, Gower Street, London WC1E 6BT, England
Email:
kmb@math.ucl.ac.uk
Irini
Perissinaki
Affiliation:
Department of Mathematics, University of Crete, 710409 Iraklion, Greece
Email:
irinip@math.uoc.gr
DOI:
10.1090/S0002-9947-03-03085-X
PII:
S 0002-9947(03)03085-X
Received by editor(s):
July 14, 1999
Posted:
July 24, 2003
Additional Notes:
The first author was supported by EPSRC-97409672, and the second author was supported in part by NSF grant DMS-9257020
Copyright of article:
Copyright
2003,
American Mathematical Society
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