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Resumen de On the equivalence of Aumann and Herer expectations of random sets

Pedro Nicolás Terán Agraz Árbol académico

  • Spaces where the Aumann and Herer notions of expectation of a random set coincide are exactly those having the Mazur Intersection Property (the closed convex hull of a bounded set is the intersection of all balls covering it). For a random compact set, more can be said: its Herer expectation is always the intersection of all closed balls covering its Aumann expectation. Some further consequences of these results are presented.


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