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Weak convergence of partial sums of absolutely regular sequences
Authors:Ernst Eberlein
Affiliation:Institut für Mathematische Stochastik, Universität Freiburg, 7800 Freiburg i. Br., FRG
Abstract:We show that weak convergence results for partial sums of absolutely regular sequences can easily be derived from the corresponding convergence results for independent triangular arrays. The link to be used is a simple lemma on the total variation norm.
Keywords:central limit theorem  absolute regularity  total variation norm
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