On the mean shape of particle processes

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Article ID:	iaor1999471
Country:	United Kingdom
Volume:	29
Issue:	4
Start Page Number:	891
End Page Number:	908
Publication Date:	Dec 1997
Journal:	Advances in Applied Probability
Authors:	Weil Wolfgang
Keywords:	probability

Abstract:

For a stationary point process X of sets in the convex ring in ℝ^d, 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 ℝ^d) 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.

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