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arXiv · 1311.3464

Remarks on the Central Limit Theorem for Non-Convex Bodies

Uri Grupel
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Abstract

In this note, we study possible extensions of the Central Limit Theorem for non-convex bodies. First, we prove a Berry-Esseen type theorem for a certain class of unconditional bodies that are not necessarily convex. Then, we consider a widely-known class of non-convex bodies, the so-called p-convex bodies, and construct a counter-example for this class.

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Uri Grupel. 2013-11-14. Remarks on the Central Limit Theorem for Non-Convex Bodies. https://doi.org/10.1007/978-3-319-09477-9_14

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