Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 50, No. 1, pp. 101-118 (2009)

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Gaussian marginals of convex bodies with symmetries

Mark W. Meckes

Department of Mathematics, Case Western Reserve University, Cleveland, Ohio 44106, U.S.A. e-mail: mark.meckes@case.edu

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.

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