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Random set theory and problems of modeling. (English) Zbl 0646.62086

From the authors’ abstract: “The purpose of this article is to show the potentials and limitations of a probabilistic and statistical approach. Collections of objects (the data) are assimilated to a random set (the model), whose parameters provide description and/or explanation.”
The main tool used is Matheron’s ‘hit or miss topology’ on the closed sets of the underlying space.
Reviewer: T.S.Pitcher

MSC:

62M99 Inference from stochastic processes
62P99 Applications of statistics
60D05 Geometric probability and stochastic geometry
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