Results 11 to 20 of about 1,753,804 (330)

Equivalent Conditions of Complete p-th Moment Convergence for Weighted Sum of ND Random Variables under Sublinear Expectation Space

open access: yesMathematics, 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
doaj   +1 more source

On the Kesten-type inequality for randomly weighted sums with applications to an operational risk model

open access: yesFilomat, 2021
This paper considers the randomly weighted sums generated by some dependent subexponential primary random variables and some arbitrarily dependent random weights.
Yishan Gong, Yang Yang, Jiajun Liu
semanticscholar   +1 more source

Unified rules of renewable weighted sums for various online updating estimations [PDF]

open access: yesJournal of Statistical Computation and Simulation, 2020
This paper establishes unified frameworks of renewable weighted sums (RWS) for various online updating estimations in the models with streaming data sets.
Lu Lin, Weiyu Li, Jun Lu
semanticscholar   +1 more source

Private Weighted Sum Aggregation [PDF]

open access: yesIEEE 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
openaire   +2 more sources

Sums of weighted averages of gcd-sum functions, II [PDF]

open access: yesRocky 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
openaire   +3 more sources

Approximations to Weighted Sums of Random Variables [PDF]

open access: yesBulletin of the Malaysian Mathematical Sciences Society, 2020
In this paper, we obtain error bound for pseudo-binomial and negative binomial approximations to weighted sums of locally dependent random variables, using Stein’s method.
Amit N. Kumar
semanticscholar   +1 more source

Evaluations of a Weighted Average of Gauss Sums

open access: yesJournal 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
doaj   +1 more source

Ranking by weighted sum [PDF]

open access: yesEconomic 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
openaire   +3 more sources

Equivalent Conditions of Complete pth Moment Convergence for Weighted Sums of I. I. D. Random Variables under Sublinear Expectations

open access: yesDiscrete 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
doaj   +1 more source

Sums of weighted averages of gcd-sum functions [PDF]

open access: yesInternational 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
openaire   +1 more source

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