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
zvi.artstein@weizmann.ac.il
Alon Shapira
Lower Galilee, Israel
shapira.alon@gmail.com
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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