Geodesic
Rate of convergence in the SLLN for associated sequences and fields
Teoriâ veroâtnostej i ee primeneniâ, Tome 43 (1998) no. 3, pp. 439-455

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Inequalities of the Rosenthal type for the moments of sums of associated random variables are specified on the lattice $\mathbb{Z}^d$. By means of the inequalities an estimate of the rate of convergence is obtained in the strong law of large numbers (SLLN) for associated stochastic processes and random fields.
Keywords: random fields, inequalities of the Rosenthal type, rate of convergence in SLLN.
Mots-clés : association 
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     author = {M. A. Vronskii},
     title = {Rate of convergence in the {SLLN} for associated sequences and fields},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {439--455},
     publisher = {mathdoc},
     volume = {43},
     number = {3},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1998_43_3_a1/}
}
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M. A. Vronskii. Rate of convergence in the SLLN for associated sequences and fields. Teoriâ veroâtnostej i ee primeneniâ, Tome 43 (1998) no. 3, pp. 439-455. http://geodesic.mathdoc.fr/item/TVP_1998_43_3_a1/