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Maximal inequality for weakly dependent random fields. (English. Russian original) Zbl 1057.60053
Math. Notes 75, No. 5, 717-725 (2004); translation from Mat. Zametki 75, No. 5, 773-782 (2004).
The author considers a certain class of weakly dependent random fields on $$\mathbb{Z}^d$$ with decreasing covariances called $$(BL, \theta)$$-dependent field which is introduced by A. Bulinski and C. Suquet [Stat. Probab. Lett. 54, No. 2, 215–226 (2001; Zbl 0989.60052)]. He obtains a moment inequality for the maxima of the local sums of the field over bounded region of $$\mathbb{Z}^d$$.

##### MSC:
 60G60 Random fields
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