Some strong laws of large numbers, L2-convergence and complete convergence for m-AANA random vectors in Hilbert space
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Publication:5086641
DOI10.1080/17442508.2020.1760867OpenAlexW3022364975MaRDI QIDQ5086641
Publication date: 6 July 2022
Published in: Stochastics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17442508.2020.1760867
complete convergencestrong law of large numbersHilbert spacerandom vectormaximal inequalityasymptotically almost negative association
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Cites Work
- Some strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables
- The Hájek-Rényi inequality for the AANA random variables and its applications
- Convergence properties for asymptotically almost negatively associated sequence
- Hájek-Rényi inequality for \(m\)-asymptotically almost negatively associated random vectors in Hilbert space and applications
- Limiting behavior of the maximum of the partial sum for asymptotically negatively associated random variables under residual Cesáro alpha-integrability assumption
- A note on the almost sure convergence for dependent random variables in a Hilbert space
- Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications
- Some concepts of negative dependence
- Laws of large numbers for Cesàro alpha-integrable random variables under dependence condition AANA or AQSI
- Negative association of random variables, with applications
- Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables
- Strong convergence for sequences of asymptotically almost negatively associated random variables
- Maximal inequalities and strong law of large numbers for sequences of m-asymptotically almost negatively associated random variables
- MAXIMAL INEQUALITIES AND STRONG LAW OF LARGE NUMBERS FOR AANA SEQUENCES
- Complete Convergence and the Law of Large Numbers
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