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Given that often point processes are simple and the order of the points does not matter, a collection of random points can be considered as a random set of points<ref name="stoyan1995stochastic"/><ref name="baddeley2007spatial"> A. Baddeley, I. Barany, and R. Schneider. Spatial point processes and their applications. ''Stochastic Geometry: Lectures given at the CIME Summer School held in Martina Franca, Italy, September 13--18, 2004'', pages 1--75, 2007.
</ref>. The theory of random sets was independently developed by [[David Kendall]] and [[Georges Matheron]]. In terms of being considered as a random set, a sequence of random points is a random closed set if the sequence has no accumulation points with probability one<ref name="schneider2008stochastic"> R. Schneider and W. Weil. ''Stochastic and integral geometry''. Springer, 2008.
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