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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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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On asymptotic distributions of weighted sums of periodograms [PDF]
, 2013 We establish asymptotic normality of weighted sums of periodograms of a stationary linear process where weights depend on the sample size. Such sums appear in numerous statistical applications and can be regarded as a discretized versions of quadratic ...
Giraitis, Liudas, Koul, Hira L.
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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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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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Weighted Sylvester sums on the Frobenius set [PDF]
Irish Mathematical Society Bulletin, 2021 Let $a$ and $b$ be relatively prime positive integers. In this paper the weighted sum $\sum_{n\in{\rm NR}(a,b)}\lambda^{n-1}n^m$ is given explicitly or in terms of the Apostol-Bernoulli numbers, where $m$ is a nonnegative integer, and ${\rm NR}(a,b ...
T. Komatsu, Yuancao Zhang
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On indefinite sums weighted by periodic sequences [PDF]
, 2019 For any integer $q\geq 2$ we provide a formula to express indefinite sums of a sequence $(f(n))_{n\geq 0}$ weighted by $q$-periodic sequences in terms of indefinite sums of sequences $(f(qn+p))_{n\geq 0}$, where $p\in\{0,\ldots,q-1\}$.
Marichal, Jean-Luc
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Asymptotics of Randomly Weighted u- and v-statistics: Application to Bootstrap [PDF]
, 2012 This paper is mainly concerned with asymptotic studies of weighted bootstrap for u- and v-statistics. We derive the consistency of the weighted bootstrap u- and v-statistics, based on i.i.d. and non i.i.d.
Csorgo, Miklos, Nasari, Masoud M.
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