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Published in 2017 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2017.1285932
Abstract: ABSTRACT Let {Xnk, k ⩾ 1, n ⩾ 1} be an array of rowwise asymptotically almost negatively associated random variables and {an, n ⩾ 1} be a sequence of positive real numbers such that an↑∞.…
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Keywords:
random variables;
asymptotically almost;
associated random;
rowwise asymptotically ... See more keywords
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Published in 2019 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2019.1565833
Abstract: Abstract Let be coordinatewise negatively associated random vectors taking values in real separable Hilbert space. In this note we prove the convergence of and , where The present investigation provides the complete moment convergence for…
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Keywords:
associated random;
complete moment;
random vectors;
negatively associated ... See more keywords
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Published in 2021 at "Complexity"
DOI: 10.1155/2021/3462317
Abstract: In this study, some new results on convergence properties for m -coordinatewise negatively associated random vectors in Hilbert space are investigated. The weak law of large numbers, strong law of large numbers, complete convergence, and…
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Keywords:
vectors hilbert;
associated random;
random vectors;
negatively associated ... See more keywords
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Published in 2023 at "Open Mathematics"
DOI: 10.1515/math-2022-0556
Abstract: Abstract In this work, the authors study some convergence results including weak law of large numbers, strong law of large numbers, complete convergence, and complete moment convergence for weighted sums of coordinatewise asymptotically negatively associated…
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Keywords:
negatively associated;
asymptotically negatively;
convergence;
associated random ... See more keywords