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Apr 6, 2010 at 13:19 comment added Yuri Bakhtin Q_n-P_n looks more appropriate for total variation convergence. The question is: is there a contentful and well-developed theory helping to prove asymptotic merging of measures. Say, the reference given by Mark Meckes provides several nonequivalent definitions, although it is not yet clear to me how far the theory is pushed in that paper.
Apr 6, 2010 at 6:11 history answered passing by CC BY-SA 2.5