Gaussian polytopes: variances and limit theorems
نویسندگان
چکیده
منابع مشابه
Central Limit Theorems for Gaussian Polytopes
Choose n random, independent points in R according to the standard normal distribution. Their convex hull Kn is the Gaussian random polytope. We prove that the volume and the number of faces of Kn satisfy the central limit theorem, settling a well known conjecture in the field.
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ژورنال
عنوان ژورنال: Advances in Applied Probability
سال: 2005
ISSN: 0001-8678,1475-6064
DOI: 10.1017/s0001867800000197