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arxiv: 1008.4818 · v1 · pith:3X3OSIZWnew · submitted 2010-08-27 · 🧮 math.PR

Closure of Random samples

classification 🧮 math.PR
keywords randomclosureheavypointalmostdefineddeterministicdistribution
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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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