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This article is cited in 8 scientific papers (total in 8 papers)
Rate of convergence in the SLLN for associated sequences and fields
M. A. Vronskii M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
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, association, inequalities of the Rosenthal type, rate of convergence in SLLN.
Received: 21.04.1997
Citation:
M. A. Vronskii, “Rate of convergence in the SLLN for associated sequences and fields”, Teor. Veroyatnost. i Primenen., 43:3 (1998), 439–455; Theory Probab. Appl., 43:3 (1999), 449–462
Linking options:
https://www.mathnet.ru/eng/tvp1553https://doi.org/10.4213/tvp1553 https://www.mathnet.ru/eng/tvp/v43/i3/p439
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Abstract page: | 245 | Full-text PDF : | 161 | First page: | 9 |
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