Nonstationary Poisson hyperplanes and their induced tessellations

Author:

Schneider Rolf

Abstract

Results about stationary Poisson hyperplane processes and the induced hyperplane mosaics are extended to the case where, instead of stationarity, it is only assumed that the intensity measure has a (possibly continuous) density with respect to some translation-invariant measure. Intensities and quermass densities, which are constant in the stationary case, are then replaced by functions. In a similar way, the associated zonoid (Matheron's Steiner convex set) is generalized.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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4. On the Volume of the Zero Cell of a Class of Isotropic Poisson Hyperplane Tessellations;Advances in Applied Probability;2014-09

5. Stochastic and Integral Geometry;Probability and Its Applications;2008

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