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math.PR2011★ 17 cited
Central limit theorems for uniform model random polygons
John Pardon
We show how a central limit theorem for Poisson model random polygons implies a central limit theorem for uniform model random polygons. To prove this implication, it suffices to s…
math.PR2010★ 18 cited
Central limit theorems for random polygons in an arbitrary convex set
John Pardon
We study the probability distribution of the area and the number of vertices of random polygons in a convex set . The novel aspect of our approach is that it…