On complete convergence of moving average processes for NSD sequences
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Publication:894293
DOI10.3103/S1055134415010022zbMath1328.60082OpenAlexW2087819218MaRDI QIDQ894293
Andrei I. Volodin, Abolghassem Bozorgnia, Mohammad Amini-Dehak, Habib Naderi
Publication date: 30 November 2015
Published in: Siberian Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s1055134415010022
complete convergencemoving average processslowly varying functionMarcinkiewicz-Zygmund strong law of large numbersnegatively superadditive-dependent sequences
Strong limit theorems (60F15) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)
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Cites Work
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- On complete convergence of moving average process for AANA sequence
- On the Kolmogorov inequalities for quadratic forms of dependent uniformly bounded random variables
- Large deviations for some weakly dependent random processes
- Some maximal inequalities for quadratic forms of negative superadditive dependence random variables
- Complete convergence of moving average processes under dependence assumptions
- Some concepts of negative dependence
- Complete convergence of moving average processes
- On the convergence of moving average processes under negatively associated random variables
- A connection between supermodular ordering and positive/negative association.
- Complete moment convergence of moving-average processes under dependence assumptions
- Negative association of random variables, with applications
- Moving average and complete convergence
- Complete convergence of moving-average processes under negative dependence sub-Gaussian assumptions
- Limiting behaviour of moving average processes under \(\varphi \)-mixing assumption
- Complete convergence for arrays of rowwise negatively superadditive-dependent random variables and its applications
- Some Limit Theorems for Stationary Processes
- Complete Convergence and the Law of Large Numbers
- On a Theorem of Hsu and Robbins
