Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we extend some known results about complete convergence and establish the complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence.
Huanhuan Ma, Yan Sun
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On complete convergence and complete moment convergence for weighted sums of ρ∗ $\rho^{*}$-mixing random variables [PDF]
Journal of Inequalities and Applications, 2018 Let r≥1 $r\geq1$, 1≤p0$ with 1/α+1/β=1/p $1/\alpha+1/\beta=1/p$. Let {ank,1≤k≤n,n≥1} $\{a_{nk}, 1\leq k\leq n,n\geq1\}$ be an array of constants satisfying supn≥1n−1∑k=1n|ank|αεn1/p}0.
Pingyan Chen, Soo Hak Sung
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Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables [PDF]
The Scientific World Journal, 2014 The authors first present a Rosenthal inequality for sequence of extended negatively dependent (END) random variables. By means of the Rosenthal inequality, the authors obtain some complete moment convergence and mean convergence results for arrays of ...
Yongfeng Wu, Mingzhu Song, Chunhua Wang
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Moment Inequalities and Complete Moment Convergence
Journal of Inequalities and Applications, 2009 Let and be sequences of random variables. For any and , bounds for and are obtained. From these results, we establish general methods for obtaining the complete moment convergence. The results of Chow (1988), Zhu (2007), and Wu and Zhu (2009)
Sung SooHak
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The complete moment convergence for CNA random vectors in Hilbert spaces [PDF]
Journal of Inequalities and Applications, 2017 In this paper we establish the complete moment convergence for sequences of coordinatewise negatively associated random vectors in Hilbert spaces. The result extends the complete moment convergence in (Ko in J. Inequal. Appl.
Mi-Hwa Ko
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Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we study the complete convergence and complete moment convergence for weighted sums of extended negatively dependent (END) random variables under sub-linear expectations space with the condition of C V [ | X | p l ( | X | 1 / α ) ] < ∞ $C_{
Haoyuan Zhong, Qunying Wu
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Equivalent conditions of complete moment convergence for extended negatively dependent random variables [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we study the equivalent conditions of complete moment convergence for sequences of identically distributed extended negatively dependent random variables.
Qunying Wu, Xiang Zeng
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Further research on complete moment convergence for moving average process of a class of random variables [PDF]
Journal of Inequalities and Applications, 2017 In this article, 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 , −
Yong Zhang, Xue Ding
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Mathematics, 2023 We investigate the complete convergence for weighted sums of sequences of negative dependence (ND) random variables and p-th moment convergence for weighted sums of sequences of ND random variables under sublinear expectation space.
Peiyu Sun, Dehui Wang, Xili Tan
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Rate of complete second-order moment convergence and theoretical applications
Journal of Taibah University for Science, 2022 The purpose of this work is to present a novel mode of convergence, complete second-order moment convergence with rate, which implies almost complete convergence and gives a smaller rate of convergence.
M. Madi, I. Laroussi
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