This article is cited in 15 papers

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

A. V. Bulinski^a, E. Shabanovich<sup>b

a</sup> M. V. Lomonosov Moscow State University
^b University of Montenegro

Abstract: 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.

UDC: 519.21

Received: 01.06.1997

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