Results 31 to 40 of about 3,296,016 (250)
A generalization of the global limit theorems of R. P. Agnew
International Journal of Mathematics and Mathematical Sciences, 1988 For distribution functions {Fn,n≥0}, the relationship between the weak convergence of Fn to F0 and the convergence of ∫Rϕ(|Fn−F0|)dx to 0 is studied where ϕ is a nonnegative, nondecreasing function.
Andrew Rosalsky
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Rate of complete second-order moment convergence and theoretical applications
Journal of Taibah University for Science, 2022 The purpose of this work is to present a novel mode of convergence, complete second-order moment convergence with rate, which implies almost complete convergence and gives a smaller rate of convergence.
M. Madi, I. Laroussi
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Complete convergence of weighted sums for arrays of rowwise $\varphi $-mixing random variables
, 2014 summary:In this paper, we establish the complete convergence and complete moment convergence of weighted sums for arrays of rowwise $\varphi $-mixing random variables, and the Baum-Katz-type result for arrays of rowwise $\varphi $-mixing random variables.
Hu, Shuhe, Wang, Xinghui, Li, Xiaoqin
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FEBS Letters, EarlyView.Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
wiley +1 more source
Open Mathematics, 2023 In this work, the authors study some convergence results including weak law of large numbers, strong law of large numbers, complete convergence, and complete moment convergence for weighted sums of coordinatewise asymptotically negatively associated ...
He Qihui, Pan Lin
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
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Complete moment convergence of double-indexed randomly weighted sums of mixing sequences
Journal 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
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Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
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Journal of Inequalities and Applications, 2023 In this paper, we study the complete convergence and complete moment convergence of linear processes generated by negatively dependent random variables under sub-linear expectations. The obtained results complement the ones of Meng, Wang, and Wu (Commun.
Mingzhou Xu, Kun Cheng, Wangke Yu
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Complete Moment Convergence for Negatively Dependent Sequences of Random Variables [PDF]
, 2016 We study the complete moment convergence for sequences of negatively dependent identically distributed random variables with EX=0, Eexp|X|α0.
Yuanying Jiang, Qunying Wu
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