Closure of Random samples

Reza Hosseini

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arXiv · 1008.4818

Closure of Random samples

Reza Hosseini

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Abstract

In this paper we show that the closure of a random sample for a k-dimensional random vector is almost surely a deterministic set of all heavy points of the distribution. A heavy point is defined to be a point for which all its neighborhoods have positive probability.

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Reza Hosseini. 2010-08-27. Closure of Random samples. https://arxiv.org/abs/1008.4818

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