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

Dietmar Ferger

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arXiv · 2403.18798

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

Dietmar Ferger

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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.

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Dietmar Ferger. 2024-03-27. Weak convergence of probability measures on hyperspaces with the upper Fell-topology. https://arxiv.org/abs/2403.18798

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