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Journal of Convex Analysis 30 (2023), No. 2, 441--452
Copyright Heldermann Verlag 2023

Samplings from the Values of Random Convex Sets

Zvi Artstein
Dept. of Mathematics, The Weizmann Institute of Science, Rehovot, Israel

Alon Shapira
Lower Galilee, Israel

We examine the extent to which random samplings from the values of a random convex set, determine the distribution of the random set itself. Several positive results, counter-examples, open problems, and research directions, are offered.

Keywords: Random sets, m-point sampling distribution, stochastic geometry.

MSC: 60D05, 52A22, 28B20.

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