Results 11 to 20 of about 609,633 (323)
Limiting operations for sequences of quantum random variables and a convergence theorem for quantum martingales [PDF]
, 2015 We study quantum random variables and generalize several classical limit results to the quantum setting. We prove a quantum analogue of Lebesgue's dominated convergence theorem and use it to prove a quantum martingale convergence theorem.
Kyler Scott Bridgen Johnson +1 more
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Convergence of Quadratic Forms in Independent Random Variables [PDF]
The Annals of Mathematical Statistics, 1966 Dale E. Varberg
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On Complete Convergence for Weighted Sums of
Journal of Inequalities and Applications, 2010 Some results on complete convergence for weighted sums are presented, where , is a sequence of -mixing random variables and is an array of constants. They generalize the corresponding results for sequence to the case of -mixing sequence.
Xuejun Wang +3 more
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Complete moment convergence of extended negatively dependent random variables
Journal of Inequalities and Applications, 2020 In this paper, some results on the complete moment convergence of extended negatively dependent (END) random variables are established. The results in the paper improve and extend the corresponding ones of Qiu et al. (Acta Math. Appl. Sin. 40(3):436–448,
Mingzhu Song, Quanxin Zhu
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Complete Convergence for Negatively Dependent Sequences of Random Variables
Journal of Inequalities and Applications, 2010 We study the complete convergence for negatively dependent sequences of random variables. As a result, we extend some complete convergence theorems for independent random variables to the case of negatively dependent random variables without necessarily ...
Wu Qunying
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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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Convergences of Random Variables Under Sublinear Expectations [PDF]
Chinese Annals of Mathematics, Series B, 2018 17 ...
Hu, Zechun, Zhou, Qianqian
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Convergence to Stable Laws in Relative Entropy [PDF]
, 2011 Convergence to stable laws in relative entropy is established for sums of i.i.d.
Bobkov, S. G. +2 more
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International Journal of Mathematics and Mathematical Sciences, 1979 Let {Xk} be independent random variables with EXk=0 for all k and let {ank:n≥1, k≥1} be an array of real numbers. In this paper the almost sure convergence of Sn=∑k=1nankXk, n=1,2,…, to a constant is studied under various conditions on the weights {ank ...
W. J. Padgett, R. L. Taylor
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Journal of Inequalities and Applications, 2016 In this paper, we study the complete convergence and complete moment convergence for negatively associated sequences of random variables with E X = 0 $\mathbb{E}X=0$ , E exp ( ln α | X | ) < ∞ $\mathbb{E}\exp(\ln^{\alpha}|X| ) 1 $\alpha>1$ . As a result,
Qunying Wu, Yuanying Jiang
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