Results 1 to 10 of about 18,643 (267)
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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Private Weighted Sum Aggregation [PDF]
IEEE Transactions on Control of Network Systems, 2022 As large amounts of data are circulated both from users to a cloud server and between users, there is a critical need for privately aggregating the shared data. This paper considers the problem of private weighted sum aggregation with secret weights, where an aggregator wants to compute the weighted sum of the local data of some agents.
Andreea B. Alexandru, George J. Pappas
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Sums of weighted averages of gcd-sum functions, II [PDF]
Rocky Mountain Journal of Mathematics, 2020 In this paper, we establish the following two identities involving the Gamma function and Bernoulli polynomials, namely $$ \sum_{k\leq x}\frac{1}{k^s} \sum_{j=1}^{k^s}\log \left(\frac{j}{k^s}\right) \sum_{\substack{d|k \\ d^{s}|j}}f* (d) \quad {\rm and } \quad \sum_{k\leq x}\frac{1}{k^s}\sum_{j=0}^{k^{s}-1} B_{m}\sum_{\substack{d|k \\ d^{s}|j}} f ...
Kiuchi, Isao, Saad Eddin, Sumaia
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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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Economic Theory, 2020 AbstractWhen choosing an alternative that has multiple attributes, it is common to form a weighted sum ranking. In this paper, we provide an axiomatic analysis of the weighted sum criterion using a general choice framework. We show that a preference order has aweakweighted sum representation if it satisfies three basic axioms: Monotonicity, Translation
Tapan Mitra, Kemal Ozbek
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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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Sums of weighted averages of gcd-sum functions [PDF]
International Journal of Number Theory, 2018 Let [Formula: see text] be the greatest common divisor of the integers [Formula: see text] and [Formula: see text]. In this paper, we give several interesting asymptotic formulas for weighted averages of the [Formula: see text]-sum function [Formula: see text] and the function [Formula: see text] for any positive integers [Formula: see text] and ...
Kiuchi, Isao, Saad Eddin, Sumaia
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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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Better Sum Estimation via Weighted Sampling [PDF]
ACM Transactions on Algorithms, 2022 Given a large set U where each item a ∈ U has weight w ( a ), we want to estimate the total weight \(W=\sum _{a∈ U} w(a)\) to within factor of 1± ɛ with some ...
Lorenzo Beretta, Jakub Tětek
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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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