Results 21 to 30 of about 7,135,246 (310)
Mod-Gaussian convergence and its applications for models of statistical mechanics [PDF]
In this paper we complete our understanding of the role played by the limiting (or residue) function in the context of mod-Gaussian convergence. The question about the probabilistic interpretation of such functions was initially raised by Marc Yor. After
C.-G. Esseen +13 more
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Convergent Non Complete Interpolatory Quadrature Rules [PDF]
We find a family of convergent schemes of nodes for non-complete interpolatory quadrature rules.
Fidalgo, U., Olson, J.
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A note on the convergence rates in precise asymptotics
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]
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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Complete convergence for widely acceptable random variables under the sublinear expectations
In this work there is considered complete convergence for widely acceptable random variables under the sub-linear expectations. The presented results are Baum-Katz type theorems that extend the corresponding results in classical probability space to the ...
A. Kuczmaszewska
semanticscholar +1 more source
Some strong convergence properties for arrays of rowwise ANA random variables
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]
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
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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Convergence of Opinion Diffusion is PSPACE-Complete [PDF]
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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Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space
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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