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A kinematic formula and moment measures of random sets. (English) Zbl 0725.60014
The aim of the present paper is to derive general relationships between the k-th volume-direction moment measure of a random set in \(R^ d\) and a corresponding refined moment measure of its intersection with a fixed p-plane, where \(k\leq p+1\). The author completes the paper by the proof of a kinematic formula for Hausdorff moment measures of rectifiable sets in \(R^ d\).
Reviewer: V.Oganyan (Erevan)

MSC:
60D05 Geometric probability and stochastic geometry
52A22 Random convex sets and integral geometry (aspects of convex geometry)
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References:
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