Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables
International Journal of Mathematics and Mathematical Sciences, 2012 The complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables is investigated. By using moment inequality and truncation method, the sufficient conditions for complete moment convergence of weighted sums for arrays of ...
Ming Le Guo
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Complete Convergence and Complete Moment Convergence for Maximal Weighted Sums of Extended Negatively Dependent Random Variables [PDF]
Acta Mathematica Sinica, English Series, 2018 In this paper, the complete convergence and complete moment convergence for maximal weighted sums of extended negatively dependent random variables are investigated. Some sufficient conditions for the convergence are provided.
Yan, Ji Gao
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On Complete Moment Convergence of Weighted Sums for Arrays of Rowwise Negatively Associated Random Variables [PDF]
Journal of Probability and Statistics, 2012 The complete moment convergence of weighted sums for arrays of rowwise negatively associated random variables is investigated. Some sufficient conditions for complete moment convergence of weighted sums for arrays of rowwise negatively associated random ...
Mingle Guo, Dongjin Zhu
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Complete moment convergence of moving average processes for m-WOD sequence
Journal of Inequalities and Applications, 2021 In this paper, the complete moment convergence for the partial sum of moving average processes { X n = ∑ i = − ∞ ∞ a i Y i + n , n ≥ 1 } $\{X_{n}=\sum_{i=-\infty }^{\infty }a_{i}Y_{i+n},n\geq 1\}$ is established under some mild conditions, where { Y i , −
Lihong Guan, Yushan Xiao, Yanan Zhao
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Complete Moment Convergence for Arrays of Rowwise φ-Mixing Random Variables [PDF]
Abstract and Applied Analysis, 2014 We investigate the complete moment convergence for maximal partial sum of arrays of rowwise φ-mixing random variables under some more general conditions. The results obtained in the paper generalize and improve some known ones.
Lulu Zheng, Yanfang Liu, Xuejun Wang
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Complete convergence of randomly weighted END sequences and its application
Journal of Inequalities and Applications, 2017 We investigate the complete convergence of partial sums of randomly weighted extended negatively dependent (END) random variables. Some results of complete moment convergence, complete convergence and the strong law of large numbers for this dependent ...
Penghua Li, Xiaoqin Li, Kehan Wu
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On Complete Convergence of Moving Average Process for AANA Sequence [PDF]
Discrete Dynamics in Nature and Society, 2012 We investigate the moving average process such that Xn=∑i=1∞aiYi+n, n≥1, where ∑i=1∞|ai|
Wenzhi Yang +3 more
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Complete Moment Convergence for Sung’s Type Weighted Sums of B-Valued Random Elements [PDF]
Discrete Dynamics in Nature and Society, 2016 Let p≥1/α and 1/2p. We give necessary and sufficient conditions for complete moment convergence of the form ∑n=1∞n(p-v)α-2E∑i=1naniXi-εnα+v0, where ...
Wei Li, Pingyan Chen, Soo Hak Sung
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Complete Convergence for Weighted Sums of Sequences of Negatively Dependent Random Variables [PDF]
Journal of Probability and Statistics, 2011 Applying to the moment inequality of negatively dependent random variables the complete convergence for weighted sums of sequences of negatively dependent random variables is discussed.
Qunying Wu
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Journal of Inequalities and Applications, 2019 In this paper, we establish some results on the complete moment convergence for weighted sums of pairwise negatively quadrant dependent (PNQD) random variables. The obtained results improve the corresponding ones of Ko (Stoch. Int. J. Probab.
Meimei Ge, Zexing Dai, Yongfeng Wu
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