Title of article
Asymptotics for Voronoi tessellations on random samples
Author/Authors
McGivney، نويسنده , , K. and Yukich، نويسنده , , J.E.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1999
Pages
16
From page
273
To page
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 ∞ then it is shown thatlimn→∞V(X1,…,Xn)n1/2=2∫[0,1]2(f(x))1/2 dx c.c.,where c.c. denotes complete convergence.
Keywords
Complete convergence , Voronoi tessellation , Delaunay triangulation , Subadditive and superadditive Euclidean functionals
Journal title
Stochastic Processes and their Applications
Serial Year
1999
Journal title
Stochastic Processes and their Applications
Record number
1576525
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