Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence. [PDF]
J Inequal Appl, 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.
Ma H, Sun Y.
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On complete convergence and complete moment convergence for weighted sums of ρ∗ -mixing random variables. [PDF]
J Inequal Appl, 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.
Chen P, Sung SH.
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Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation. [PDF]
J Inequal Appl, 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 ) ] 0 $l(x)
Zhong H, Wu Q.
europepmc +3 more sources
Complete convergence of randomly weighted END sequences and its application. [PDF]
J Inequal Appl, 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 ...
Li P, Li X, Wu K.
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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 | ) 1 $\alpha>1$ .
Yuanying Jiang, Qunying Wu
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Journal of Inequalities and Applications, 2019 The goal of this paper is to build complete convergence and complete integral convergence for END sequences of random variables under sub-linear expectation space.
Qunying Wu, Ziwei Liang
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Complete convergence and complete moment convergence for arrays of rowwise ANA random variables
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.
Bin Wang +3 more
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On complete convergence for Lp-mixingales [PDF]
International Journal of Mathematics and Mathematical Sciences, 2000 We provide in this paper sufficient conditions for the complete convergence for the partial sums and the random selected partial sums of B-valued Lp ...
Yijun Hu
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Complete convergence and complete moment convergence for arrays of rowwise END random variables
Glasnik 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.
Manuel Ordóñez Cabrera +5 more
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Complete convergence theorems for Lp-mixingales
Journal of Mathematical Analysis and Applications, 2004 Sufficient conditions for the complete convergence for the partial sums and the random selected partial sums of Lp-mixingales are given.
Yijun Hu, Hu, Yijun
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