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The second volume moment of the typical cell and higher moments of edge lengths of the spatial Poisson–Voronoi tessellation

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Abstract

This paper presents analytical results for higher moments of characteristics of a Voronoi tessellation generated by a homogeneous Poisson point process in the three-dimensional Euclidean space. The second moment of the volume of the typical cell as well as higher moments for the edge length distribution and the linear contact distribution are given. These characteristics are calculated analytically and presented in a unified form.

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Authors and Affiliations

  1. Fraunhofer Institute Integrated Circuits, EAS Dresden, Zeunerstr. 38, 01069, Dresden, Germany

    Lutz Muche

  2. Institute for Stochastics, Technische Universität Bergakademie Freiberg, Prüferstr. 9, 09599, Freiberg, Germany

    Felix Ballani

Authors
  1. Lutz Muche
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  2. Felix Ballani
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Correspondence to Lutz Muche.

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Communicated by K. D. Elsworthy.

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Muche, L., Ballani, F. The second volume moment of the typical cell and higher moments of edge lengths of the spatial Poisson–Voronoi tessellation. Monatsh Math 163, 71–80 (2011). https://doi.org/10.1007/s00605-010-0202-3

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  • DOI: https://doi.org/10.1007/s00605-010-0202-3

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