Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 50, No. 1, pp. 101-118 (2009)
Gaussian marginals of convex bodies with symmetries
Mark W. MeckesDepartment of Mathematics, Case Western Reserve University, Cleveland, Ohio 44106, U.S.A. e-mail: email@example.com
Abstract: We prove Gaussian approximation theorems for specific $k$-dimensional marginals of convex bodies which possess certain symmetries. In particular, we treat bodies which possess a $1$-unconditional basis, as well as simplices. Our results extend recent results for $1$-dimensional marginals due to E. Meckes and the author.
Keywords: central limit theorem, convex bodies, Stein's method
Classification (MSC2000): 60F05, 52A20
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Electronic version published on: 29 Dec 2008. This page was last modified: 28 Jan 2013.