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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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 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 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 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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Quick and Complete Convergence in the Law of Large Numbers with Applications to Statistics
Mathematics, 2023 In the first part of this article, we discuss and generalize the complete convergence introduced by Hsu and Robbins in 1947 to the r-complete convergence introduced by Tartakovsky in 1998.
Alexander G. Tartakovsky
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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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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 for weighted sums of pairwise independent random variables
Open Mathematics, 2017 In the present paper, we have established the complete convergence for weighted sums of pairwise independent random variables, from which the rate of convergence of moving average processes is deduced.
Ge Li, Liu Sanyang, Miao Yu
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Toeplitz lemma, complete convergence, and complete moment convergence [PDF]
Communications in Statistics - Theory and Methods, 2016 In this paper, we study the Toeplitz lemma, the Ces ro mean convergence theorem and the Kronecker lemma. At first, we study "complete convergence" versions of the Toeplitz lemma, the Ces ro mean convergence theorem and the Kronecker lemma. Two counterexamples show that they can fail in general and some sufficient conditions for "complete convergence"
Li, Jiyanglin, Hu, Ze-Chun
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