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]
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