Results 21 to 30 of about 410,199 (271)
On the convergence of autonomous agent communities [PDF]
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
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Derivation of mean-field equations for stochastic particle systems [PDF]
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
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Complete moment convergence of double-indexed randomly weighted sums of mixing sequences
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
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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
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Complete moment convergence of moving average processes for m-WOD sequence
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
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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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Convergence for sums of i.i.d. random variables under sublinear expectations
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
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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
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Multidimensional limit theorems for homogeneous sums: a general transfer principle [PDF]
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
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Limit Theorems for Multifractal Products of Geometric Stationary Processes [PDF]
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
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