Complete convergence and complete moment convergence theorems for weighted sums of arrays of rowwise extended negatively dependent random variables

In the present work, the complete convergence and complete moment convergence properties for arrays of rowwise extended negatively dependent (END) random variables are investigated. Some sharp theorems on these strong convergence for weighted sums of END cases are established. These main results not...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2019, 56(4), , pp.1007-1025
Hauptverfasser: Haiwu Huang, Qingxia Zhang
Format: Artikel
Sprache:eng
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Zusammenfassung:In the present work, the complete convergence and complete moment convergence properties for arrays of rowwise extended negatively dependent (END) random variables are investigated. Some sharp theorems on these strong convergence for weighted sums of END cases are established. These main results not only generalize the known corresponding ones of Cai \cite{2}, Wang et al.~\cite{17} and Shen \cite{14}, but also improve them, respectively. KCI Citation Count: 1
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.b180791