Second-Order Moment Convergence Rates for Spectral Statistics of Random Matrices [PDF]
Abstract and Applied Analysis, 2013 This paper considers the precise asymptotics of the spectral statistics of random matrices. Following the ideas of Gut and Spătaru (2000) and Liu and Lin (2006) on the precise asymptotics of i.i.d.
Junshan Xie
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Complete Convergence for Moving Average Process of Martingale Differences [PDF]
Discrete Dynamics in Nature and Society, 2012 Under some simple conditions, by using some techniques such as truncated method for random variables (see e.g., Gut (2005)) and properties of martingale differences, we studied the moving process based on martingale differences and obtained complete ...
Wenzhi Yang, Shuhe Hu, Xuejun Wang
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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
core +1 more source
Journal of Mathematical Inequalities, 2023 Summary: The authors study the complete convergence and complete moment convergence for weighted sums of m-extended negatively dependent (m-END) random variables. The results obtained in this paper extend and improve the corresponding results of \textit{Y. Wu} et al. [J. Math. Inequal. 13, No. 1, 251--260 (2019; Zbl 1483.60050)] and \textit{H.
Xiang Huang, Yongf Ng Wu
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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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