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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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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Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we study the complete convergence and complete moment convergence for weighted sums of extended negatively dependent (END) random variables under sub-linear expectations space with the condition of C V [ | X | p l ( | X | 1 / α ) ] < ∞ $C_{
Haoyuan Zhong, Qunying Wu
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Complete convergence of randomly weighted END sequences and its application [PDF]
Journal of Inequalities and Applications, 2017 We investigate the complete convergence of partial sums of randomly weighted extended negatively dependent (END) random variables. Some results of complete moment convergence, complete convergence and the strong law of large numbers for this dependent ...
Penghua Li, Xiaoqin Li, Kehan Wu
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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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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 convergence and complete moment convergence for weighted sums of m-NA random variables [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrei Volodin, Tien-Chung Hu
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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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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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On the Complete Convergence of Martingale
Mathematica Pannonica, 2023 In the present paper, we establish the convergence rates of the single logarithm and the iterated logarithm for martingale differences which give some further results for the open question in Stoica [6].
Chang, Mengmeng, Miao, Yu
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