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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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Complete convergence of randomly weighted END sequences and its application [PDF]

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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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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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 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

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, Jiangyan Peng, Xiongtao Wu, Bin Wang   +3 more
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Complete moment convergence of extended negatively dependent random variables

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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A note on the convergence rates in precise asymptotics

Journal of Inequalities and Applications, 2019
Let {X,Xn,n≥1} $\{X, X_{n}, n\geq1\}$ be a sequence of i.i.d. random variables with EX=0 $EX=0$, EX2=σ2 $EX^{2}=\sigma^{2}$. Set Sn=∑k=1nXk $S_{n}=\sum_{k=1}^{n}X_{k}$ and let N ${\mathcal {N} }$ be the standard normal random variable. Let g(x) $g(x)$ be
Yong Zhang
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Some strong convergence properties for arrays of rowwise ANA random variables

Journal of Inequalities and Applications, 2016
In this paper, some complete convergence, complete moment convergence, and mean convergence results for arrays of rowwise asymptotically negatively associated (ANA) random variables are obtained. These theorems not only generalize some well-known ones to
Haiwu Huang, Mengqian Ouyang, Yuanying Jiang   +2 more
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On the convergence of Baum-Katz series for sums of linear 2-nd order autoregressive sequences

Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022
We consider complete convergence and closely related Hsu-Robbins-Erdos-Spitzer-Baum-Katz series for sums whose terms are elements of a linear 2-nd order autoregressive sequences of random variables and prove sufficient conditions for the convergence of ...
М. К. Ільєнко, А. Ю. Поліщук   +1 more
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