Complete convergence for negatively dependent sequences of random variables.
Wu, Qunying (2010)
Journal of Inequalities and Applications [electronic only]
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Wu, Qunying (2010)
Journal of Inequalities and Applications [electronic only]
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Wu, Qunying (2010)
Journal of Inequalities and Applications [electronic only]
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Czechoslovak Mathematical Journal
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In this paper we obtain a strong invariance principle for negatively associated random fields, under the assumptions that the field has a finite th moment and the covariance coefficient exponentially decreases to . The main tools are the Berkes-Morrow multi-parameter blocking technique and the Csörgő-Révész quantile transform method.