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arxiv: 1702.01069 · v3 · pith:JX53LE5Lnew · submitted 2017-02-03 · 🧮 math.MG · math.PR

Random polytopes: central limit theorems for intrinsic volumes

classification 🧮 math.MG math.PR
keywords bodiescentralintrinsiclimitpolytopesrandomtheoremsvolumes
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Short and transparent proofs of central limit theorems for intrinsic volumes of random polytopes in smooth convex bodies are presented. They combine different tools such as estimates for floating bodies with Stein's method from probability theory.

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