Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 479-492
Citer cet article
A. V. Bulinski; E. Shabanovich. Asymptotical behaviour for some functionals of positively and negatively dependent random fields. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 479-492. http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a0/
@article{FPM_1998_4_2_a0,
author = {A. V. Bulinski and E. Shabanovich},
title = {Asymptotical behaviour for some functionals of positively and negatively dependent random fields},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {479--492},
year = {1998},
volume = {4},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a0/}
}
TY - JOUR
AU - A. V. Bulinski
AU - E. Shabanovich
TI - Asymptotical behaviour for some functionals of positively and negatively dependent random fields
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1998
SP - 479
EP - 492
VL - 4
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a0/
LA - ru
ID - FPM_1998_4_2_a0
ER -
%0 Journal Article
%A A. V. Bulinski
%A E. Shabanovich
%T Asymptotical behaviour for some functionals of positively and negatively dependent random fields
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 479-492
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a0/
%G ru
%F FPM_1998_4_2_a0
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.
