Abstract
Distributions of selections of a random set are characterized in terms of inequalities, similar to the marriage problem. A consequence is that the ensemble of such distributions is convex compact and depends continuously on the distribution of the random set.
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Artstein, Z. Distributions of random sets and random selections. Israel J. Math. 46, 313–324 (1983). https://doi.org/10.1007/BF02762891
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DOI: https://doi.org/10.1007/BF02762891