Results 11 to 20 of about 7,135,246 (310)
Complete convergence and records for dynamically generated stochastic processes [PDF]
Transactions of the American Mathematical Society, 2017 We consider empirical multi-dimensional Rare Events Point Processes that keep track both of the time occurrence of extremal observations and of their severity, for stochastic processes arising from a dynamical system, by evaluating a given potential ...
Freitas, Ana Cristina Moreira +2 more
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Filomat, 2017 In this paper, we provide some probability and moment inequalities (especially the Marcinkiewicz-Zygmund type inequality) for extended negatively dependent (END, in short) random variables. By using the Marcinkiewicz-Zygmund type inequality and the truncation method, we investigate the complete convergence for sums and weighted sums of ...
A. Shen, Yu Zhang, Wenjuan Wang
semanticscholar +3 more sources
AIMS Mathematics, 2023 In this article, we study the complete convergence and the complete moment convergence for negatively dependent (ND) random variables under sub-linear expectations.
Mingzhou Xu, Xuhang Kong
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AIMS Mathematics, 2022 In this paper, we establish the complete convergence and complete integral convergence of partial sums for moving average process based on independent random variables under the sub-linear expectations.
Xiaocong Chen, Qunying Wu
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A general form for precise asymptotics for complete convergence under sublinear expectation
AIMS Mathematics, 2022 Let $ \{X_n, n\geq 1\} $ be a sequence of independent and identically distributed random variables in a sublinear expectation $ (\Omega, \mathcal H, {\mathbb {\widehat{E}}}) $ with a capacity $ {\mathbb V} $ under $ {\mathbb {\widehat{E}}} $.
Xue Ding
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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
openaire +2 more sources
AIMS Mathematics, 2022 In this article, we study complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations.
Mingzhou Xu, K. Cheng, Wangke Yu
semanticscholar +1 more source
Complete convergence for weighted sums of widely orthant-dependent random variables
Journal of Inequalities and Applications, 2021 The complete convergence results for weighted sums of widely orthant-dependent random variables are obtained. A strong law of large numbers for weighted sums of widely orthant-dependent random variables is also obtained. Our results extend and generalize
Pingyan Chen, S. Sung
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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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Filomat, 2020 This paper we study and establish the complete convergence and complete moment convergence theorems under a sub-linear expectation space. As applications, the complete convergence and complete moment convergence for negatively dependent random ...
Qunying Wu, Yuanying Jiang
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