Complete moment convergence of moving average processes for m-WOD sequence
Journal of Inequalities and Applications, 2021 In this paper, the complete moment convergence for the partial sum of moving average processes { X n = ∑ i = − ∞ ∞ a i Y i + n , n ≥ 1 } $\{X_{n}=\sum_{i=-\infty }^{\infty }a_{i}Y_{i+n},n\geq 1\}$ is established under some mild conditions, where { Y i , −
Lihong Guan, Yushan Xiao, Yanan Zhao
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Discrete Dynamics in Nature and Society, 2021 We investigate the complete pth moment convergence for weighted sums of independent, identically distributed random variables under sublinear expectations space.
Mingzhou Xu, Kun Cheng
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Complete Convergence and Complete Moment Convergence for Maximal Weighted Sums of Extended Negatively Dependent Random Variables [PDF]
Acta Mathematica Sinica, English Series, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan, Ji Gao
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A kind of complete moment convergence for self-normalized sums [PDF]
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zang, Qing-pei, Qing-pei Zang
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Complete Moment Convergence for Arrays of Rowwise φ-Mixing Random Variables [PDF]
Abstract and Applied Analysis, 2014 We investigate the complete moment convergence for maximal partial sum of arrays of rowwise φ-mixing random variables under some more general conditions. The results obtained in the paper generalize and improve some known ones.
Lulu Zheng, Yanfang Liu, Xuejun Wang
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Complete convergence of randomly weighted END sequences and its application
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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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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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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