Results 21 to 30 of about 410,199 (271)

On the convergence of autonomous agent communities [PDF]

open access: yes, 2010
This is the post-print version of the final published paper that is available from the link below. Copyright @ 2010 IOS Press and the authors.Community is a common phenomenon in natural ecosystems, human societies as well as artificial multi-agent ...
Wang, F, Wang, S, Zhu, H
core   +1 more source

Derivation of mean-field equations for stochastic particle systems [PDF]

open access: yes, 2018
We study stochastic particle systems on a complete graph and derive effective mean-field rate equations in the limit of diverging system size, which are also known from cluster aggregation models.
Grosskinsky, Stefan   +1 more
core   +2 more sources

Complete moment convergence of double-indexed randomly weighted sums of mixing sequences

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we study the complete moment convergence of the sums of ρ̃-mixing sequences which are double-indexed randomly weighted and stochastically dominated by a random variable X.
Jian Han, Yu Xiang
doaj   +1 more source

Complete convergence and complete moment convergence for weighted sums of m-extended negatively dependent random variables

open access: yesJournal of Mathematical Inequalities, 2023
Summary: The authors study the complete convergence and complete moment convergence for weighted sums of m-extended negatively dependent (m-END) random variables. The results obtained in this paper extend and improve the corresponding results of \textit{Y. Wu} et al. [J. Math. Inequal. 13, No. 1, 251--260 (2019; Zbl 1483.60050)] and \textit{H.
Huang, Xiang, Wu, Yongfeng
openaire   +1 more source

Complete moment convergence of moving average processes for m-WOD sequence

open access: yesJournal 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
doaj   +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

Convergence for sums of i.i.d. random variables under sublinear expectations

open access: yesJournal of Inequalities and Applications, 2021
In this paper, we obtain equivalent conditions of complete moment convergence of the maximum for partial weighted sums of independent identically distributed random variables under sublinear expectations space.
Mingzhou Xu, Kun Cheng
doaj   +1 more source

On complete convergence and complete moment convergence for weighted sums of ρ∗ -mixing random variables.

open access: yesJournal of inequalities and applications, 2018
Let r≥1 , 1≤p0 with 1/α+1/β=1/p . Let {ank,1≤k≤n,n≥1} be an array of constants satisfying supn≥1n-1∑k=1n|ank|αεn1/p}0. We also provide moment conditions under which ∑n=1∞nr-2-q/pE(max1≤m≤n|∑k=1mankXk|-εn1/p)+q0, where q>0 . Our results improve and generalize those of Sung (Discrete Dyn. Nat. Soc. 2010:630608, 2010) and Wu et al. (Stat. Probab.
Pingyan Chen, Soo Hak Sung
openaire   +4 more sources

Multidimensional limit theorems for homogeneous sums: a general transfer principle [PDF]

open access: yes, 2015
The aim of the present paper is to establish the multidimensional counterpart of the \textit{fourth moment criterion} for homogeneous sums in independent leptokurtic and mesokurtic random variables (that is, having positive and zero fourth cumulant ...
Nourdin, Ivan   +3 more
core   +5 more sources

Limit Theorems for Multifractal Products of Geometric Stationary Processes [PDF]

open access: yes, 2015
We investigate the properties of multifractal products of geometric Gaussian processes with possible long-range dependence and geometric Ornstein-Uhlenbeck processes driven by L\'{e}vy motion and their finite and infinite superpositions.
Denisov, Denis, Leonenko, Nikolai
core   +3 more sources

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