Narrow and vague convergence of set functions
type: Item
instance of: scholarly article
title: Narrow and vague convergence of set functions
zbMATH Open document ID: 0648.60008
DOI: 10.1016/0167-7152(88)90002-8
author: Wim Vervaat
published in: Statistics \& Probability Letters
publication date: 1988-01-01T00:00:00Z
review text: A table with 8 cases of narrow \((= weak)\) convergence of probability measures on certain basic spaces E is presented. Locally compact or metric spaces E with various function spaces defined on them are considered and data on the coarsest topologies for the corresponding functionals, portmanteau theorems, compactness of some subsets of bounded functions and references are incorporated. The relations of the statements are discussed in the leading remarks.
Mathematics Subject Classification ID: 60B10
Mathematics Subject Classification ID: 60F10
zbMATH DE Number: 4058505
zbMATH Keywords: weak convergence
zbMATH Keywords: large deviations principle
zbMATH Keywords: portmanteau theorems
MaRDI profile type: Publication
full work available at URL: 0167-7152(88)90002-8
OpenAlex ID: W2035026361
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description: scientific article; zbMATH DE number 4058505