Results 21 to 30 of about 188,891 (256)
On complete convergence for Lp-mixingales
International Journal of Mathematics and Mathematical Sciences, 2000 We provide in this paper sufficient conditions for the complete convergence for the partial sums and the random selected partial sums of B-valued Lp-mixingales.
Yijun Hu
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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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On the complete convergence for weighted sums of a class of random variables
Journal of Inequalities and Applications, 2016 In this article, some new results as regards complete convergence for weighted sums ∑ i = 1 n a n i X i $\sum_{i=1}^{n}a_{ni}X_{i}$ of random variables satisfying the Rosenthal type inequality are established under some mild conditions.
Jinghuan Zhao, Yan Sun, Yu Miao
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Mathematics, 2023 We investigate the complete convergence for weighted sums of sequences of negative dependence (ND) random variables and p-th moment convergence for weighted sums of sequences of ND random variables under sublinear expectation space.
Peiyu Sun, Dehui Wang, Xili Tan
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Quick and Complete Convergence in the Law of Large Numbers with Applications to Statistics
Mathematics, 2023 In the first part of this article, we discuss and generalize the complete convergence introduced by Hsu and Robbins in 1947 to the r-complete convergence introduced by Tartakovsky in 1998.
Alexander G. Tartakovsky
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Sufficient and necessary conditions of convergence for ρ͠ mixing random variables
Open Mathematics, 2019 In the present paper, the sufficient and necessary conditions of the complete convergence and complete moment convergence for ρ͠-mixing random variables are established, which extend some well-known results.
Zhang Shui-Li, Miao Yu, Qu Cong
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Complete convergence and complete moment convergence for weighted sums of m-NA random variables [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Yongfeng +2 more
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Complete convergence for weighted sums of arrays of random elements
International Journal of Mathematics and Mathematical Sciences, 1983 Let {Xnk:k,n=1,2,…} be an array of row-wise independent random elements in a separable Banach space. Let {ank:k,n=1,2,…} be an array of real numbers such that ∑k=1∞|ank|≤1 and ∑n=1∞exp(−α/An)
Robert Lee Taylor
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Completions for a Class of Convergence Groups [PDF]
Proceedings of the American Mathematical Society, 1973 The purpose of this note is to show that the class of abelian totally bounded regular convergence groups has "regular completions". For basic definitions and terminology concerning convergence spaces, the reader is asked to refer to [6] and [7]. In a natural way one generalizes the notion of a topological group to a convergence group.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction The use of herbal medical preparation (HMP) is rising among pediatric oncology patients, often to manage treatment‐related symptoms. Their effectiveness remains uncertain, and the risk of herb–drug interactions is underestimated.
Orianne Mahot +6 more
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