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Keywords:
strong invariance principle; negative association; random field; blocking technique; quantile transform
strong invariance principle; negative association; random field; blocking technique; quantile transform
Summary:
In this paper we obtain a strong invariance principle for negatively associated random fields, under the assumptions that the field has a finite $(2+\delta )$th moment and the covariance coefficient $u(n)$ exponentially decreases to $0$. The main tools are the Berkes-Morrow multi-parameter blocking technique and the Csörgő-Révész quantile transform method.
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