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An invariance principle for weakly associated random vectors. (English) Zbl 0611.60028
An invariance principle for a stationary, weakly associated sequence of \({\mathbb{R}}^ d\)-valued or Hilbert space valued random elements which satisfy a covariance summability condition is proved. This paper generalizes the earlier one by C. M. Newman and A. L. Wright, Ann. Probab. 9, 671-675 (1981; Zbl 0465.60009).
Reviewer: E.Kubilius

MSC:
60F17 Functional limit theorems; invariance principles
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