Abstract
In this paper we obtain a strong invariance principle for negatively associated random fields, under the assumptions that the field has a finite (2 + δ)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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This paper is supported by National Social Science Foundation of China (09BTJ003).
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Cai, Gh. A strong invariance principle for negatively associated random fields. Czech Math J 61, 27–40 (2011). https://doi.org/10.1007/s10587-011-0015-0
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DOI: https://doi.org/10.1007/s10587-011-0015-0