Talk:Vague topology

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 Field: Analysis

vague versus weak[edit]

The article needs to make clear the distinction between vague and weak convergence in the sense of probability theory. In the case of finite positive measures, (vague convergence and convergence applied to constants) <=> weak convergence, see e.g. Bauer. For signed finite or positive non-sigma-finite measures, things are much more complicated, see e.g. Mörters/Preiss. --TjrCasual (talk) 05:42, 31 August 2011 (UTC)