Abstract
Strong approximation results are discussed for the partial sum process of i.i.d. sequences of vectors having dependent components, where the components of the approximating process are independent. Many applications are considered for additive functionals in one and two dimensions.
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Földes, A. Asymptotic Independence and Strong Approximation; A Survey. Periodica Mathematica Hungarica 41, 121–147 (2000). https://doi.org/10.1023/A:1010360204254
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DOI: https://doi.org/10.1023/A:1010360204254