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Convergence rates in the strong laws for a class of dependent random fields

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Abstract

By using a Rosenthal type inequality established in this paper, the complete convergence rates in the strong laws for a class of dependent random fields are discussed. And the result obtained extends those for ρ -mixing random fields, ρ*-mixing random fields and negatively associated fields.

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Cai, G. Convergence rates in the strong laws for a class of dependent random fields. Appl. Math. Chin. Univ. 18, 209–213 (2003). https://doi.org/10.1007/s11766-003-0026-1

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  • DOI: https://doi.org/10.1007/s11766-003-0026-1

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