The central limit problem for convex bodies
Open Access
- 1 December 2003
- journal article
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society
- Vol. 355 (12) , 4723-4735
- https://doi.org/10.1090/s0002-9947-03-03085-x
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.Keywords
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