Complete $f$-moment convergence for weighted sums of WOD arrays with statistical applications [PDF]
, 2023 summary:Complete $f$-moment convergence is much more general than complete convergence and complete moment convergence. In this work, we mainly investigate the complete $f$-moment convergence for weighted sums of widely orthant dependent (WOD, for short)
Chen, Xi, Tao, Xinran, Wang, Xuejun
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Toeplitz lemma, complete convergence, and complete moment convergence [PDF]
Communications in Statistics - Theory and Methods, 2016 In this paper, we study the Toeplitz lemma, the Cesàro mean convergence theorem and the Kronecker lemma. At first, we study "complete convergence" versions of the Toeplitz lemma, the Cesàro mean convergence theorem and the Kronecker lemma. Two counterexamples show that they can fail in general and some sufficient conditions for "complete convergence ...
Li, Jiyanglin, Hu, Ze-Chun
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On complete moment convergence for weighted sums of negatively superadditive dependent random variables [PDF]
, 2020 summary:In this work, the complete moment convergence and complete convergence for weighted sums of negatively superadditive dependent (NSD) random variables are studied, and some equivalent conditions of these strong convergences are established.
Huang, Haiwu, Lu, Xuewen
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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 ...
Dmitry Chistikov 0001 +3 more
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A correction to “Some mean convergence and complete convergence theorems for sequences of $m$-linearly negative quadrant dependent random variables” [PDF]
, 2017 summary:The authors provide a correction to ``Some mean convergence and complete convergence theorems for sequences of $m$-linearly negative quadrant dependent random variables''
Wu, Yongfeng +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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Complete convergence and complete moment convergence for a class of random variables [PDF]
Journal of Inequalities and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Xinghui, Hu, Shuhe
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Over-complete source-mapping aided AMR-WB MIMO transceiver using three-stage iterative detection [PDF]
, 2008 In this paper we propose an iteratively detected Sphere Packing (SP) aided Differential Space-Time Spreading (DSTS) scheme using a Recursive Systematic Convolutional (RSC) code, for protecting the soft-bit assisted Adaptive Multi Rate Wide-band (AMR-WB ...
El-Hajjar, M +11 more
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On Functions Preserving Convergence of Series in Fuzzy n-Normed Spaces [PDF]
, 2009 The purpose of this paper is to introduce finite convergence sequences and functions preserving convergence of series in fuzzy n-normed ...
Rahmat, Mohamad Rafi Segi, Elagan, Sayed
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Complete Convergence and the Law of Large Numbers [PDF]
Proceedings of the National Academy of Sciences, 1947 We begin by listing some standard definitions in the theory of probability. A probability space is a set Ω of elements ω together with a σ-field m of subsets of Ω on which is defined a completely additive measure P such that P(Ω) = 1. A real-valued P-meastirable function X = X (ω) is a random variable, and the function \(F\left( x \right) = P\left\{ {X
Hsu, P. L., Robbins, Herbert
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