Results 21 to 30 of about 21,382 (246)

Equivalent Conditions of Complete pth Moment Convergence for Weighted Sums of I. I. D. Random Variables under Sublinear Expectations

open access: yesDiscrete Dynamics in Nature and Society, 2021
We investigate the complete pth moment convergence for weighted sums of independent, identically distributed random variables under sublinear expectations space.
Mingzhou Xu, Kun Cheng
doaj   +1 more source

Convergence rates in precise asymptotics for a kind of complete moment convergence [PDF]

open access: yesStochastics and Dynamics, 2017
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
openaire   +2 more sources

Complete moment convergence of double-indexed randomly weighted sums of mixing sequences

open access: yesJournal of Inequalities and Applications, 2016
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
doaj   +1 more source

On complete convergence and complete moment convergence for weighted sums of ρ∗ -mixing random variables.

open access: yesJournal of inequalities and applications, 2018
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
openaire   +4 more sources

Complete convergence and complete moment convergence for weighted sums of m-extended negatively dependent random variables

open access: yesJournal of Mathematical Inequalities, 2023
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
openaire   +1 more source

Some strong convergence properties for arrays of rowwise ANA random variables

open access: yesJournal 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
doaj   +1 more source

Convergence for sums of i.i.d. random variables under sublinear expectations

open access: yesJournal of Inequalities and Applications, 2021
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
doaj   +1 more source

Complete convergence and complete moment convergence for arrays of rowwise END random variables

open access: yesGlasnik matematički, 2014
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
openaire   +1 more source

Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
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
doaj   +1 more source

Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space

open access: yesJournal 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
doaj   +1 more source

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