Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Keywords

  • Random sets
  • m-point sampling distribution
  • stochastic geometry

Mathematics Subject Classification

60D05, 52A22, 28B20

Suggested citation

Z. Artstein, A. Shapira. “Samplings from the Values of Random Convex Sets.” Journal of Convex Analysis 30 (2023), No. 2, 441–452.

Copyright Heldermann Verlag 2023