Results 31 to 40 of about 199,837 (335)
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 +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 +1 more
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Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space
Journal of Inequalities and Applications, 2018 In this work, some strong convergence theorems are established for weighted sums of coordinatewise negatively associated random vectors in Hilbert spaces. The results obtained in this paper improve and extend the corresponding ones of Huan et al.
Xiang Huang, Yongfeng Wu
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Mathematics, 2023 In this paper we study the Marcinkiewicz–Zygmund-type strong law of large numbers with general normalizing sequences under sublinear expectation. Specifically, we establish complete convergence in the Marcinkiewicz–Zygmund-type strong law of large ...
Shuxia Guo, Zhe Meng
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On the complete convergence for weighted sums of a class of random variables
Journal of Inequalities and Applications, 2016 In this article, some new results as regards complete convergence for weighted sums ∑ i = 1 n a n i X i $\sum_{i=1}^{n}a_{ni}X_{i}$ of random variables satisfying the Rosenthal type inequality are established under some mild conditions.
Jinghuan Zhao, Yan Sun, Yu Miao
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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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Complete convergence for weighted sums of pairwise independent random variables
Open Mathematics, 2017 In the present paper, we have established the complete convergence for weighted sums of pairwise independent random variables, from which the rate of convergence of moving average processes is deduced.
Li Ge, Sanyang Liu, Yu Miao
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Sufficient and necessary conditions of convergence for ρ͠ mixing random variables
Open Mathematics, 2019 In the present paper, the sufficient and necessary conditions of the complete convergence and complete moment convergence for ρ͠-mixing random variables are established, which extend some well-known results.
Zhang Shui-Li, Miao Yu, Qu Cong
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