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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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https://hal.inria.fr/inria-00074679
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Submitted on : Wednesday, May 24, 2006 - 4:04:48 PM
Last modification on : Saturday, January 27, 2018 - 1:31:24 AM
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  • HAL Id : inria-00074679, version 1

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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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