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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
##### Keywords:
weak convergence; empirical measure; central limit theorem