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On the mean shape of particle processes
Published online by Cambridge University Press: 01 July 2016
Abstract
For a stationary point process X of sets in the convex ring in ℝd, a relation is given between the mean particles of the section process X ∩ E (where E varies through the set of k-dimensional subspaces in ℝd) and a mean particle of X. In particular, it is shown that the mean bodies of all planar sections of X determine the Blaschke body of X and hence the mean normal distribution of X.
MSC classification
- Type
- Stochastic Geometry and Statistical Applications
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- Copyright © Probability Trust 1997
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