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Mod-Gaussian convergence and its applications for models of statistical mechanics [PDF]

open access: yes, 2014
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
core   +1 more source

Convergent Non Complete Interpolatory Quadrature Rules [PDF]

open access: yes, 2021
We find a family of convergent schemes of nodes for non-complete interpolatory quadrature rules.
Fidalgo, U., Olson, J.
openaire   +2 more sources

A note on the convergence rates in precise asymptotics

open access: yesJournal 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
doaj   +1 more source

Completions of uniform convergence spaces [PDF]

open access: yesProceedings 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 ...
openaire   +4 more sources

Complete convergence for widely acceptable random variables under the sublinear expectations

open access: yes, 2020
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

open access: yesJournal 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
doaj   +1 more source

Completeness of unbounded convergences [PDF]

open access: yesProceedings 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.
openaire   +2 more sources

On the convergence of Baum-Katz series for sums of linear 2-nd order autoregressive sequences

open access: yesНауковий 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
doaj   +1 more source

Convergence of Opinion Diffusion is PSPACE-Complete [PDF]

open access: yesProceedings 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
openaire   +3 more sources

Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space

open access: yesJournal 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
doaj   +1 more source

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