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
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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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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
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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 [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 +3 more
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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 Moment Convergence for Negatively Dependent Sequences of Random Variables [PDF]
Discrete Dynamics in Nature and Society, 2016 We study the complete moment convergence for sequences of negatively dependent identically distributed random variables with EX=0, Eexp|X ...
Qunying Wu, Yuanying Jiang
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A General Law of Complete Moment Convergence for Self-Normalized Sums [PDF]
Journal of Inequalities and Applications, 2010 Let be a sequence of independent and identically distributed (i.i.d.) random variables, and is in the domain of the normal law and . In this paper, we obtain a general law of complete moment convergence for self-normalized sums.
Zang Qing-pei
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Complete moment convergence of moving average processes for m-WOD sequence
Journal of Inequalities and Applications, 2021 In this paper, the complete moment convergence for the partial sum of moving average processes { X n = ∑ i = − ∞ ∞ a i Y i + n , n ≥ 1 } $\{X_{n}=\sum_{i=-\infty }^{\infty }a_{i}Y_{i+n},n\geq 1\}$ is established under some mild conditions, where { Y i , −
Lihong Guan, Yushan Xiao, Yanan Zhao
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ON COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE FOR A CLASS OF RANDOM VARIABLES
Journal of the Korean Mathematical Society, 2017 Xuejun Wang, Yi Wu
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