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Random sets from the perspective of metric statistics
arXiv stat.TH0 views
arXiv:2511.13440v2 Announce Type: replace Abstract: Since the seminal work by Beresteanu and Molinari(2008), the random set theory and related inference methods have been widely applied in partially identified econometric models. Meanwhile, there is an emerging field in statistics for studying random objects in metric spaces, called metric statistics. This paper clarifies a relationship between two fundamental concepts in these literatures, the Aumann and Fr\'echet means, and presents some applications of metric statistics to econometric problems involving random sets.
Source：https://arxiv.org/abs/2511.13440PreviousMonitoring for a Phase Transition in a Time Series of Wigner MatricesNextAsymptotics for likelihood ratio tests of boundary points with singular information and unidentifiable nuisance parameters
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