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Probability measures on product spaces with uniform metrics / Martin F. Hellwig
VerfasserHellwig, Martin
ErschienenBonn : Max Planck Institute for Research on Collective Goods, May 2017
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1 Online-Ressource (14 Seiten)
SeriePreprints of the Max Planck Institute for Research on Collective Goods ; 2017,6
URNurn:nbn:de:hbz:5:2-124526 
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2017_06online.pdf [0.49 mb]Probability measures on product spaces with uniform metrics
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Zusammenfassung

For a countable product of complete separable metric spaces with a topology induced by a uniform metric, the set of Borel probability measures coincides with the set of completions of probability measures on the product -algebra. Whereas the product space with the uniform metric is non-separable, the support of any Bofrel measure is separable, and the topology of weak convergence on the space of Borel measures is metrizable by both the Prohorov metric and the bounded Lipschitz metric.