Moreover, the Baum-Katz type result for arrays of row-wise END random variables is also obtained.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, the complete qth moment convergence of weighted sums for arrays of row-wise extended negatively dependent (abbreviated to END in the following) random variables is investigated.
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Key Findings & Data:As their applications, we extend the corresponding result of Wu (2012) to the case of arrays of row-wise END random variables.
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Conclusion & Impact:Moreover, the Baum-Katz type result for arrays of row-wise END random variables is also obtained.
🔬Design:Research Article
📍Scope:2012 Verileri
⚙️Variables:END random variables · Weighted sums · Complete moment convergence
Abstract
In this paper, the complete qth moment convergence of weighted sums for arrays of row-wise extended negatively dependent (abbreviated to END in the following) random variables is investigated. By using Hoffmann-Jφrgensen type inequality and truncation method, some general results concerning complete qth moment convergence of weighted sums for arrays of row-wise END random variables are obtained. As their applications, we extend the corresponding result of Wu (2012) to the case of arrays of row-wise END random variables. The complete qth moment convergence of moving average processes based on a sequence of END random variables is obtained, which improves the result of Li and Zhang (2004). Moreover, the Baum-Katz type result for arrays of row-wise END random variables is also obtained.
Guo, M. L. (2014). Complete qth moment convergence of weighted sums for arrays of row-wise extended negatively dependent random variables. Hacettepe Journal of Mathematics and Statistics, Volume: 43 Issue: 2. https://ajindex.com/articles/1403419
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