On a certain segment process with Voronoi clustering - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1993

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.

Domains

Other [cs.OH]
Fichier principal
Vignette du fichier
RR-1993.pdf (213 Ko) Télécharger le fichier
Loading...

Dates and versions

inria-00074679 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00074679 , version 1

Cite

Serguei Foss, Serguei Zuyev. On a certain segment process with Voronoi clustering. [Research Report] RR-1993, INRIA. 1993. ⟨inria-00074679⟩
79 View
94 Download

Share

Gmail Facebook Twitter LinkedIn More