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Evaluations of a Weighted Average of Gauss Sums
Journal of Mathematics, 2021 In this paper, we perform a further investigation for a weighted average of Gauss sums. By making use of some properties of the cotangent function and the Bernoulli polynomials, we explicitly evaluate the weighted average of Gauss sums in terms of the ...
Wen-Kai Shao, Yuan He
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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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On weak law of large numbers for sums of negatively superadditive dependent random variables
Comptes Rendus. Mathématique, 2020 In this paper, we extend Kolmogorov–Feller weak law of large numbers for maximal weighted sums of negatively superadditive dependent (NSD) random variables.
Naderi, Habib +3 more
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Discrete Dynamics in Nature and Society, 2021 We investigate the complete pth moment convergence for weighted sums of independent, identically distributed random variables under sublinear expectations space.
Mingzhou Xu, Kun Cheng
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Upper-bound estimates for weighted sums satisfying Cramer’s condition
Lietuvos Matematikos Rinkinys, 2023 Let S = ω1S1 + ω2S2 + ⋯ + ωNSN. Here Sj is the sum of identically distributed random variables and ωj > 0 denotes weight. We consider the case, when Sj is the sum of independent random variables satisfying Cramer’s condition.
Vydas Čekanavičius, Aistė Elijio
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On the convergence of Baum-Katz series for sums of linear 2-nd order autoregressive sequences
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022 We consider complete convergence and closely related Hsu-Robbins-Erdos-Spitzer-Baum-Katz series for sums whose terms are elements of a linear 2-nd order autoregressive sequences of random variables and prove sufficient conditions for the convergence of ...
М. К. Ільєнко +1 more
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Graph theoretical representation of atomic asymmetry and molecular chirality of benzenoids in two-dimensional space. [PDF]
PLoS ONE, 2014 In order to explore atomic asymmetry and molecular chirality in 2D space, benzenoids composed of 3 to 11 hexagons in 2D space were enumerated in our laboratory.
Tanfeng Zhao +3 more
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Complete Convergence for END Random Variables under Sublinear Expectations
Discrete Dynamics in Nature and Society, 2021 In this paper, the complete convergence theorems of partial sums and weighted sums for extended negatively dependent random variables in sublinear expectation spaces have been studied and established.
Qunying Wu
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Complete convergence for weighted sums of widely orthant-dependent random variables
Journal of Inequalities and Applications, 2021 The complete convergence results for weighted sums of widely orthant-dependent random variables are obtained. A strong law of large numbers for weighted sums of widely orthant-dependent random variables is also obtained. Our results extend and generalize
Pingyan Chen, Soo Hak Sung
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The Convergence of Double-Indexed Weighted Sums of Martingale Differences and Its Application
Abstract and Applied Analysis, 2014 We investigate the complete moment convergence of double-indexed weighted sums of martingale differences. Then it is easy to obtain the Marcinkiewicz-Zygmund-type strong law of large numbers of double-indexed weighted sums of martingale differences ...
Wenzhi Yang +3 more
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