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On Kedlaya-type inequalities for weighted means
Journal of Inequalities and Applications, 2018 In 2016 we proved that for every symmetric, repetition invariant and Jensen concave mean M $\mathscr{M}$ the Kedlaya-type inequality A(x1,M(x1,x2),…,M(x1,…,xn))≤M(x1,A(x1,x2),…,A(x1,…,xn)) $$ \mathscr{A} \bigl(x_{1},\mathscr{M}(x_{1},x_{2}), \ldots ...
Zsolt Páles, Paweł Pasteczka
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Subgaussian concentration inequalities for geometrically ergodic Markov chains [PDF]
, 2015 We prove that an irreducible aperiodic Markov chain is geometrically ergodic if and only if any separately bounded functional of the stationary chain satisfies an appropriate subgaussian deviation inequality from its ...
Dedecker, Jérôme, Gouëzel, Sébastien
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Kaohsiung Journal of Medical Sciences, 2008 The purpose of this study was to correlate quadrant specific Humphrey visual field mean deviation (MD) with retinal nerve fiber layer (RNFL) thickness as measured by scanning laser polarimetry (GDx), and to determine whether there is a difference in the ...
Yo-Chen Chang, Rong-Kung Tsai
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A New Dispersion Control Chart for Handling the Neutrosophic Data
IEEE Access, 2020 The control chart based on mean deviation (MD ) is customary used as a robust alternative to the existing Shewhart control charts for observing changes in dispersion parameter of the process.
Zahid Khan +4 more
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Bounds for the generalized ( Φ; f)-mean difference
Cubo, 2020 In this paper we establish some bounds for the \( (\Phi;f) \)-mean difference introduced in the general settings of measurable spaces and Lebesgue integral, which is a two functions generalization of Gini mean difference that has been widely used by ...
Silvestru Sever Dragomir
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Minimizing weighted mean absolute deviation of job completion times from their weighted mean [PDF]
, 2011 Cataloged from PDF version of article.We address a single-machine scheduling problem where the objective is to minimize the weighted mean absolute deviation of job completion times from their weighted mean.
Erel, E., Ghosh, J. B.
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Critical properties of the half-filled Hubbard model in three dimensions [PDF]
, 2011 By means of the dynamical vertex approximation (D$\Gamma$A) we include spatial correlations on all length scales beyond the dynamical mean field theory (DMFT) for the half-filled Hubbard model in three dimensions.
A. Katanin +5 more
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Bias-Corrected Root Mean Square Deviation Estimators
FoundationsThe root mean square deviation (RMSD) is a widely used item fit statistic in item response models. However, the sample RMSD is known to exhibit positive bias in small samples. To address this, seven alternative bias-corrected RMSD estimators are proposed
Alexander Robitzsch
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Monotone Mean Lp-Deviation Risk Measures
Mathematics, 2023 In this paper, we establish a new coherent risk measure on Lp, which we refer to as the monotone mean Lp-deviation risk measure. Then, the related properties are discussed.
Jinyang Zhang, Linxiao Wei, Yijun Hu
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Extremal Lipschitz functions in the deviation inequalities from the mean
, 2013 We obtain an optimal deviation from the mean upper bound \begin{equation} D(x)\=\sup_{f\in \F}\mu\{f-\E_{\mu} f\geq x\},\qquad\ \text{for}\ x\in\R\label{abstr} \end{equation} where $\F$ is the class of the integrable, Lipschitz functions on probability ...
Dzindzalieta, Dainius
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