Some distributional results for Poisson-Voronoi tessellations

@inproceedings{Baumstark2007SomeDR,
  title={Some distributional results for Poisson-Voronoi tessellations},
  author={Volker Baumstark},
  year={2007}
}
We consider the Voronoi tessellation based on a stationary Poisson process N in R d . We provide a complete and explicit description of the Palm distribution describing N as seen from a randomly chosen (typical) point on a k-face of the tessellation. In particular, we compute the joint distribution of the d - k + 1 neighbours of the k-face containing the typical point. Using this result as well as a fundamental general relationship between Palm probabilities, we then derive some properties of… CONTINUE READING

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