Results 1 to 10 of about 409,447 (301)

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
doaj   +6 more sources

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
doaj   +5 more sources

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
doaj   +4 more sources

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, Jiangyan Peng, Xiongtao Wu, Bin Wang   +3 more
doaj   +3 more sources

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
doaj   +4 more sources

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
doaj   +5 more sources

Equivalent Conditions of Complete p-th Moment Convergence for Weighted Sum of ND Random Variables under Sublinear Expectation Space [PDF]

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
doaj   +2 more sources

Note on complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations

AIMS Mathematics, 2023
In this article, we study the complete convergence and the complete moment convergence for negatively dependent (ND) random variables under sub-linear expectations.
Mingzhou Xu, Xuhang Kong
doaj   +2 more sources

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

Journal 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.
Xiang Huang, Yongf ng Wu
openalex   +2 more sources

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
doaj   +3 more sources