Contact and Chord Length Distribution of a Stationary Voronoi Tessellation
نویسنده
چکیده
We give formulae for diierent types of contact distribution functions for stationary (not necessarily Poisson) Voronoi tessellations in R d in terms of the Palm void probabilities of the generating point process. Moreover, using the well-known relationship between the linear contact distribution and the chord length distribution we derive a closed form expression for the mean chord length in terms of the two-point Palm distribution and the pair correlation function of the generating point process. The obtained results are speciied for Voronoi tesellations generated by Poisson cluster and Gibbsian processes, respectively.
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