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Convergence and existence of random set distributions. (English) Zbl 0545.60021
In this paper the relation between distributions of random closed sets and their hitting functions is studied. In particular a sequence of random sets converges in distribution iff the corresponding sequence of hitting functions converges on some sufficiently large class of bounded Borel sets. This class may be chosen to be countable.
Reviewer: L.Holst

MSC:
60D05 Geometric probability and stochastic geometry
60B10 Convergence of probability measures
60G99 Stochastic processes
60F05 Central limit and other weak theorems
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