On the asymptotic distribution of the area outside a random convex hull in a disk (Q1333386)
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scientific article; zbMATH DE number 639115
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the asymptotic distribution of the area outside a random convex hull in a disk |
scientific article; zbMATH DE number 639115 |
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On the asymptotic distribution of the area outside a random convex hull in a disk (English)
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13 October 1994
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The paper studies statistical properties of the convex hull formed by \(n\) uniformly distributed points in a disk in \(\mathbb{R}^ 2\). The main results are that the asymptotic variance of the area outside this convex hull is of the order \(n^{-5/3}\), and that the asymptotic distribution of this area is normal.
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random set
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random convex hull
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geometric probability
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central limit theorem
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asymptotic variance
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asymptotic distribution
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