Limiting behavior of the partial sum for negatively superadditive dependent random vectors in Hilbert space (Q827219)

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scientific article; zbMATH DE number 7290907
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Limiting behavior of the partial sum for negatively superadditive dependent random vectors in Hilbert space
scientific article; zbMATH DE number 7290907

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    Limiting behavior of the partial sum for negatively superadditive dependent random vectors in Hilbert space (English)
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    7 January 2021
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    Summary: In this paper, We study the complete convergence and \(L_p\)-convergence for the maximum of the partial sum of negatively superadditive dependent random vectors in Hilbert space. The results extend the corresponding ones of \textit{M. H. Ko} [``Some strong laws of large numbers, \(L_2\)-convergence and complete convergence for \(m\)-AANA random vectors in Hilbert space'', Stochastics (2020; \url{doi:10.1080/17442508.2020.1760867})] to \(H\)-valued negatively superadditive dependent random vectors.
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