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- W4300181882 abstract "Let ${ X_{bf n}, {bf n}in mathbb{N}^d }$ be a random field i.e. a family of random variables indexed by $mathbb{N}^d $, $dge 2$. Complete convergence, convergence rates for non identically distributed, negatively dependent and martingale random fields are studied by application of Fuk-Nagaev inequality. The results are proved in asymmetric convergence case i.e. for the norming sequence equal $n_1^{alpha_1}cdot n_2^{alpha_2}cdotldotscdot n_d^{alpha_d}$, where $(n_1,n_2,ldots, n_d)=mathbf{n} in mathbb{N}^d$ and $minlimits_{1leq i leq d}alpha_i geq frac{1}{2}.$" @default.
- W4300181882 created "2022-10-03" @default.
- W4300181882 creator A5056134343 @default.
- W4300181882 date "2014-11-28" @default.
- W4300181882 modified "2023-10-14" @default.
- W4300181882 title "An approach to complete convergence theorems for dependent random fields via application of Fuk Nagaev inequality" @default.
- W4300181882 doi "https://doi.org/10.48550/arxiv.1411.7848" @default.
- W4300181882 hasPublicationYear "2014" @default.
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