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Nonstationary Poisson hyperplanes and their induced tessellations
Published online by Cambridge University Press: 01 July 2016
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.
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- Stochastic Geometry and Statistical Applications
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- Copyright © Applied Probability Trust 2003
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