FPM 1998, vol. 4, no. 2, pp. 479-492

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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