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

DOI10.1155/2020/8609859zbMath1489.60048OpenAlexW3080744646MaRDI QIDQ827219

Mi-Hwa Ko

Publication date: 7 January 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/8609859

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Strong limit theorems (60F15) Probability theory on linear topological spaces (60B11)

Cites Work

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• Complete convergence for arrays
• A connection between supermodular ordering and positive/negative association.
• Complete convergence for arrays of rowwise negatively superadditive-dependent random variables and its applications
• Complete convergence for coordinatewise asymptotically negatively associated random vectors in Hilbert spaces
• On the almost sure convergence for sums of negatively superadditive dependent random vectors in Hilbert spaces and its application
• Some strong laws of large numbers, L₂-convergence and complete convergence for m-AANA random vectors in Hilbert space
• Complete Convergence and the Law of Large Numbers

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