Geodesic
Asymptotical behaviour for some functionals of positively and negatively dependent random fields
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 479-492.

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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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     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},
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     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a0/}
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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/