Asymptotics for Voronoi tessellations on random samples

K. McGivney and J. E. Yukich

Stochastic Processes and their Applications, 1999, vol. 83, issue 2, 273-288

Abstract: Let V(X1,...,Xn) denote the total edge length of the Voronoi tessellation on random variables X1,...,Xn. If X1,X2,... are independent and have a common continuous density f(x) on the unit square which is bounded away from 0 and [infinity] then it is shown thatwhere c.c. denotes complete convergence.

Keywords: Voronoi; tessellation; Subadditive; and; superadditive; Euclidean; functionals; Complete; convergence; Delaunay; triangulation (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (2)

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