Results 11 to 20 of about 19,297 (267)
On the number of weighted zero-sum subsequences
Periodica Mathematica Hungarica, 2023 Let $G$ be a finite additive abelian group with exponent $d^kn, d,n>1,$ and $k$ a positive integer. For $S$ a sequence over $G$ and $A=\{1,2,\ldots,d^kn-1\}\setminus\{d^kn/d^i:i\in[1,k]\}, $ we investigate the lower bound of the number $N_{A,0}(S)$, which denotes the number of $A$-weighted zero-sum subsequences of $S.$ In particular, we prove that ...
Abílio Lemos +3 more
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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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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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Estimating Sum by Weighted Sampling [PDF]
, 2007 We study the classic problem of estimating the sum of n variables. The traditional uniform sampling approach requires a linear number of samples to provide any non-trivial guarantees on the estimated sum. In this paper we consider various sampling methods besides uniform sampling, in particular sampling a variable with probability proportional to its ...
Rajeev Motwani 0001 +2 more
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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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Sums of Gauss sums and weights of irreducible codes
Finite Fields and Their Applications, 2005 This paper develops a matrix approach to compute a certain sum of Gauss sums that arises in the study of weights of irreducible codes. The authors have further derived a lower bound on the minimum weight of certain irreducible codes. Though the studies made have been restricted to binary codes, however, the methods of this paper applies to codes of odd
Fitzgerald, Robert W., Yucas, Joseph L.
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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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A note on convergence of weighted sums of random variables
International Journal of Mathematics and Mathematical Sciences, 1985 Under uniform integrability condition, some Weak Laws of large numbers are established for weighted sums of random variables generalizing results of Rohatgi, Pruitt and Khintchine.
Xiang Chen Wang, M. Bhaskara Rao
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Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables [PDF]
Journal of Sciences, Islamic Republic of Iran, 2007 Let be a sequence of arbitrary random variables with and , for every and be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for ...
M. Amini
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