Uniform convergence of probability measures: Topological criteria
type: Item
instance of: scholarly article
title: Uniform convergence of probability measures: Topological criteria
zbMATH Open document ID: 0817.60005
author: Roberto Lucchetti
author: Roger J.-B. Wets
author: Gabriella Salinetti
published in: Journal of Multivariate Analysis
publication date: 1995-07-17T00:00:00Z
review text: The paper deals with the extensions of Polya's theorem. Uniform convergence of probability measures is analyzed by topologizing the space of events. A generic version of the results of the paper reads: narrow convergence to a \(\tau\)-continuous probability measure implies uniform convergence on every \(\tau\)-compact subclass of sets, where \(\tau\) is certain topology on the space of events.
Mathematics Subject Classification ID: 60B10
Mathematics Subject Classification ID: 60B05
zbMATH DE Number: 701316
zbMATH Keywords: Slivenko-Cantelli lemma
zbMATH Keywords: uniform convergence of probability measures
zbMATH Keywords: Polya's theorem
zbMATH Keywords: narrow convergence
MaRDI profile type: Publication
full work available at URL: jmva.1994.1061
OpenAlex ID: W1978871169
DOI: 10.1006/JMVA.1994.1061
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description: scientific article; zbMATH DE number 701316