FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 2, PAGES 479-492

Asymptotical behaviour for some functionals of positively and negatively dependent random fields

A. V. Bulinski
E. Shabanovich

Abstract

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Using Stein--Goetze--Barbour techniques we estimate the proximity of values of a functional of certain class taken respectively on processes of weighted partial sums type and on appropriate Gaussian processes. The former processes arise from random fields on $ \mathbb{Z}^d $ which are either weakly associated or negatively dependent.


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