Closure of Random samples

Details Closure of Random samples Closure of Random samples

2010-08-27

arxiv.org/abs/1008.4818v1

Mathematics

Probability

Scientific paper

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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