On a certain segment process with Voronoi clustering

Abstract : We consider two independent Poisson planar process C and S of intensities lC and lS respectively. All the particles of the process S within the same Voronoi cell of the process C are connected to its nucleus. We study stochastic characteristics of the number and total length of these connections within a typical Voronoi C-cell. We find first and second moments of these variables as well as exponential asymptotic of the tail decay.
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[Research Report] RR-1993, INRIA. 1993
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Soumis le : mercredi 24 mai 2006 - 16:04:48
Dernière modification le : samedi 27 janvier 2018 - 01:31:24
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Serguei Foss, Serguei Zuyev. On a certain segment process with Voronoi clustering. [Research Report] RR-1993, INRIA. 1993. 〈inria-00074679〉

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