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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Complete convergence and complete moment convergence for negatively associated sequences of random variables [PDF]
Journal of Inequalities and Applications, 2016 In this paper, we study the complete convergence and complete moment convergence for negatively associated sequences of random variables with E X = 0 $\mathbb{E}X=0$ , E exp ( ln α | X | ) < ∞ $\mathbb{E}\exp(\ln^{\alpha}|X| ) 1 $\alpha>1$ . As a result,
Qunying Wu, Yuanying Jiang
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Complete convergence and complete moment convergence for arrays of rowwise ANA random variables [PDF]
Journal of Inequalities and Applications, 2016 In this article, we investigate complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random variables.
Haiwu Huang +3 more
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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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Complete moment convergence of extended negatively dependent random variables [PDF]
Journal of Inequalities and Applications, 2020 In this paper, some results on the complete moment convergence of extended negatively dependent (END) random variables are established. The results in the paper improve and extend the corresponding ones of Qiu et al. (Acta Math. Appl. Sin. 40(3):436–448,
Mingzhu Song, Quanxin Zhu
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