Almost sure central limit theorems for strongly mixing and associated random variables.
Gonchigdanzan, Khurelbaatar (2002)
International Journal of Mathematics and Mathematical Sciences
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Gonchigdanzan, Khurelbaatar (2002)
International Journal of Mathematics and Mathematical Sciences
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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.