On the \(L^1\)-convergence for double arrays of blockwise \(M\)-pairwise negatively dependent random variables

DOI10.1007/s40840-023-01558-3zbMath1521.60017OpenAlexW4385492263MaRDI QIDQ6174628

Vu Thi Ngoc Anh

Publication date: 17 August 2023

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-023-01558-3

zbMATH Keywords

mean convergencedouble arrayblock-wise pairwise negatively dependent

Mathematics Subject Classification ID

(L^p)-limit theorems (60F25)

Cites Work

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• On the strong limit theorems for double arrays of blockwise \(M\)-dependent random variables
• Weak laws of large numbers of double sums of independent random elements in Rademacher type \(p\) and stable type \(p\) Banach spaces
• On the negative dependence in Hilbert spaces with applications.
• Strong laws for blockwise martingale difference arrays in Banach spaces
• Marcinkiewicz-type strong law of large numbers for double arrays of pairwise independent random variables
• On the strong laws of large numbers for sequences of blockwise pairwise and coordinatewise negatively dependent random vectors in Hilbert spaces
• Convergence in mean for double arrays of \(M\)-pairwise negatively dependent random variables
• A note on the stochastic domination condition and uniform integrability with applications to the strong law of large numbers
• On the \(L^p\)-convergence for multidimensional arrays of random variables
• Limit Theorems for Multi-Indexed Sums of Random Variables
• On Almost Sure and Mean Convergence of Normed Double Sums of Banach Space Valued Random Elements
• The Kronecker lemmas for multiple series and some applications
• Some Concepts of Dependence

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