Results 21 to 30 of about 21,382 (246)
We investigate the complete pth moment convergence for weighted sums of independent, identically distributed random variables under sublinear expectations space.
Mingzhou Xu, Kun Cheng
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Convergence rates in precise asymptotics for a kind of complete moment convergence [PDF]
Liu and Lin (Statist. Probab. Lett. 2006) introduced a kind of complete moment convergence which includes complete convergence as a special case. In this paper, we study the convergence rates of the precise asymptotics for complete moment convergence introduced by Liu and Lin (2006) and get the corresponding convergence rates.
Kong, Lingtao, Dai, Hongshuai
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Complete moment convergence of double-indexed randomly weighted sums of mixing sequences
In this paper, we study the complete moment convergence of the sums of ρ̃-mixing sequences which are double-indexed randomly weighted and stochastically dominated by a random variable X.
Jian Han, Yu Xiang
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Let r≥1 , 1≤p0 with 1/α+1/β=1/p . Let {ank,1≤k≤n,n≥1} be an array of constants satisfying supn≥1n-1∑k=1n|ank|αεn1/p}0. We also provide moment conditions under which ∑n=1∞nr-2-q/pE(max1≤m≤n|∑k=1mankXk|-εn1/p)+q0, where q>0 . Our results improve and generalize those of Sung (Discrete Dyn. Nat. Soc. 2010:630608, 2010) and Wu et al. (Stat. Probab.
Pingyan Chen, Soo Hak Sung
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Summary: The authors study the complete convergence and complete moment convergence for weighted sums of m-extended negatively dependent (m-END) random variables. The results obtained in this paper extend and improve the corresponding results of \textit{Y. Wu} et al. [J. Math. Inequal. 13, No. 1, 251--260 (2019; Zbl 1483.60050)] and \textit{H.
Huang, Xiang, Wu, Yongfeng
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Some strong convergence properties for arrays of rowwise ANA random variables
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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Convergence for sums of i.i.d. random variables under sublinear expectations
In this paper, we obtain equivalent conditions of complete moment convergence of the maximum for partial weighted sums of independent identically distributed random variables under sublinear expectations space.
Mingzhou Xu, Kun Cheng
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Complete convergence and complete moment convergence for arrays of rowwise END random variables
The authors study complete convergence and complete moment convergence for arrays of rowwise extended negatively dependent (END) random variables and obtain some new results. The results extend and improve the corresponding theorems by Sung (2005), Hu and Taylor (1997), Hu et al. (1989), and Chow (1988).
Wu, Yongfeng +2 more
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Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables
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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Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space
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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