Results 11 to 20 of about 1,157,781 (273)
A note on the convergence rates in precise asymptotics
Journal of Inequalities and Applications, 2019 Let {X,Xn,n≥1} $\{X, X_{n}, n\geq1\}$ be a sequence of i.i.d. random variables with EX=0 $EX=0$, EX2=σ2 $EX^{2}=\sigma^{2}$. Set Sn=∑k=1nXk $S_{n}=\sum_{k=1}^{n}X_{k}$ and let N ${\mathcal {N} }$ be the standard normal random variable. Let g(x) $g(x)$ be
Yong Zhang
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Completions of uniform convergence spaces [PDF]
Proceedings of the American Mathematical Society, 1971 H. J. Biesterfeldt has shown that a uniform convergence space which satisfies the completion axiom has a completion. In the present paper, we show that every uniform convergence space has a completion. Furthermore, if the uniform convergence space is Hausdorff and satisfies the completion axiom, then it has a Hausdorff completion, which reduces to the ...
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Some strong convergence properties for arrays of rowwise ANA random variables
Journal of Inequalities and Applications, 2016 In this paper, some complete convergence, complete moment convergence, and mean convergence results for arrays of rowwise asymptotically negatively associated (ANA) random variables are obtained. These theorems not only generalize some well-known ones to
Haiwu Huang +2 more
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Completeness of unbounded convergences [PDF]
Proceedings of the American Mathematical Society, 2018 As a generalization of almost everywhere convergence to vector lattices, unbounded order convergence has garnered much attention. The concept of boundedly uo-complete Banach lattices was introduced by N. Gao and F. Xanthos, and has been studied in recent papers by D. Leung, V.G. Troitsky, and the aforementioned authors.
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On the convergence of Baum-Katz series for sums of linear 2-nd order autoregressive sequences
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022 We consider complete convergence and closely related Hsu-Robbins-Erdos-Spitzer-Baum-Katz series for sums whose terms are elements of a linear 2-nd order autoregressive sequences of random variables and prove sufficient conditions for the convergence of ...
М. К. Ільєнко +1 more
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A convergence on Boolean algebras generalizing the convergence on the Aleksandrov cube [PDF]
, 2013 We compare the forcing related properties of a complete Boolean algebra B with the properties of the convergences $\lambda_s$ (the algebraic convergence) and $\lambda_{ls}$ on B generalizing the convergence on the Cantor and Aleksandrov cube respectively.
Aleksandar Pavlović +19 more
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On the Complete Convergence of Martingale
Mathematica Pannonica, 2023 In the present paper, we establish the convergence rates of the single logarithm and the iterated logarithm for martingale differences which give some further results for the open question in Stoica [6].
Chang, Mengmeng, Miao, Yu
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Convergence of Opinion Diffusion is PSPACE-Complete [PDF]
Proceedings of the AAAI Conference on Artificial Intelligence, 2020 We analyse opinion diffusion in social networks, where a finite set of individuals is connected in a directed graph and each simultaneously changes their opinion to that of the majority of their influencers. We study the algorithmic properties of the fixed-point behaviour of such networks, showing that the problem of establishing whether individuals ...
Chistikov, Dmitry +3 more
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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.
Ziwei Liang, Qunying Wu
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Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space
Journal of Inequalities and Applications, 2018 In this work, some strong convergence theorems are established for weighted sums of coordinatewise negatively associated random vectors in Hilbert spaces. The results obtained in this paper improve and extend the corresponding ones of Huan et al.
Xiang Huang, Yongfeng Wu
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