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Mathematics > Probability

Title: Weak convergence of probability measures on hyperspaces with the upper Fell-topology

Abstract: Let E be a locally compact second countable Hausdorff space and F the pertaining family of all closed sets. We endow F respectively with the Fell-topology, the upper Fell topology or the upper Vietoris-topology and investigate weak convergence of probability measures on the corresponding hyperspaces with a focus on the upper Fell topology. The results can be transferred to distributional convergence of random closed sets in E with applications to the asymptotic behavior of measurable selection.
Subjects: Probability (math.PR)
Cite as: arXiv:2403.18798 [math.PR]
  (or arXiv:2403.18798v1 [math.PR] for this version)

Submission history

From: Dietmar Ferger [view email]
[v1] Wed, 27 Mar 2024 17:45:04 GMT (32kb)

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