Closure of Random samples
Probability
2010-08-31 v1
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.
Cite
@article{arxiv.1008.4818,
title = {Closure of Random samples},
author = {Reza Hosseini},
journal= {arXiv preprint arXiv:1008.4818},
year = {2010}
}