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On the central limit theorem for empirical measures. (English) Zbl 0504.60024

MSC:
60F05 Central limit and other weak theorems
28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets
54C70 Entropy in general topology
60F17 Functional limit theorems; invariance principles
60B11 Probability theory on linear topological spaces
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