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arXiv · 1505.01597

The limit distribution of the largest interpoint distance for distributions supported by an ellipse and generalizations

Michael Schrempp
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Abstract

We study the asymptotic behaviour of the maximum interpoint distance of random points in a planar bounded set with an unique major axis and a boundary behaving like an ellipse at the endpoints. Our main result covers the case of uniformly distributed points in an ellipse.

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Michael Schrempp. 2015-05-07. The limit distribution of the largest interpoint distance for distributions supported by an ellipse and generalizations. https://arxiv.org/abs/1505.01597

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