Complete convergence for arrays of minimal order statistics [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 For arrays of independent Pareto random variables, this paper establishes complete convergence for weighted partial sums for the smaller order statistics within each row. This result improves on past strong laws.
André Adler
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A Kind of Complete Moment Convergence for Sums of Independent and Nonidentically Distributed Random Variables [PDF]
Abstract and Applied Analysis, 2014 Let {X,Xn,n≥1} be a sequence of independent and nonidentically distributed random variables. We obtain a new kind of complete moment convergence for their sums under the Lyapunov condition.
Bao Wang, Quanxin Zhu
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Complete $f$-moment convergence for weighted sums of WOD arrays with statistical applications [PDF]
, 2023 summary:Complete $f$-moment convergence is much more general than complete convergence and complete moment convergence. In this work, we mainly investigate the complete $f$-moment convergence for weighted sums of widely orthant dependent (WOD, for short)
Chen, Xi, Tao, Xinran, Wang, Xuejun
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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 Cesàro mean convergence theorem and the Kronecker lemma. At first, we study "complete convergence" versions of the Toeplitz lemma, the Cesàro 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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Complete convergence and complete moment convergence for a class of random variables [PDF]
Journal of Inequalities and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Xinghui, Hu, Shuhe
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On complete moment convergence for weighted sums of negatively superadditive dependent random variables [PDF]
, 2020 summary:In this work, the complete moment convergence and complete convergence for weighted sums of negatively superadditive dependent (NSD) random variables are studied, and some equivalent conditions of these strong convergences are established.
Huang, Haiwu, Lu, Xuewen
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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.
Wu, Yongfeng +2 more
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Complete f-moment convergence for negatively superadditive dependent random variables [PDF]
, 2023 Mathematics subject classification (2020): 60F15.Copyright © the author(s). In this paper, by utilizing the Kolmogorov exponential type inequality of negatively superadditive dependent random arrays and truncated method, we study the complete f -moment ...
Xuep ng Hu +5 more
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Rate of complete second-order moment convergence and theoretical applications
Journal of Taibah University for Science, 2022 The purpose of this work is to present a novel mode of convergence, complete second-order moment convergence with rate, which implies almost complete convergence and gives a smaller rate of convergence.
M. Madi, I. Laroussi
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Complete moment convergence of extended negatively dependent random variables
Journal of Inequalities and Applications, 2020 In this paper, some results on the complete moment convergence of extended negatively dependent (END) random variables are established. The results in the paper improve and extend the corresponding ones of Qiu et al. (Acta Math. Appl. Sin. 40(3):436–448,
Mingzhu Song, Quanxin Zhu
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