Results 61 to 70 of about 469,933 (190)
Majorization and Rényi entropy inequalities via Sperner theory
Discrete Mathematics, 2019 Introduction was completely rewritten and there are numerous corrections.
Mokshay Madiman, Liyao Wang, Jae Oh Woo
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Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities
Journal of Inequalities and Applications, 2018 In this paper, we discuss the Schur convexity, Schur geometric convexity and Schur harmonic convexity of the generalized geometric Bonferroni mean. Some inequalities related to the generalized geometric Bonferroni mean are established to illustrate the ...
Huan-Nan Shi, Shan-He Wu
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An inequality for polynomials with elliptic majorant
Journal of Inequalities and Applications, 1999 Let \(T_n\) denote the \(n\)-th Chebyshev polynomial of the first kind and let \(\overline T_n(x): =T_n(\xi_nx)\), where \(\xi_n: =\cos (\pi/2n)\) is the largest zero of \(T_n\). The author shows that \[ \max_{[-1,1]} \bigl|\overline T_n^{(k)} (x)\bigr|\geq\max_{[-1,1]} \bigl|P_n^{(k)} (x)\bigr |\tag{1} \] for all \(k\geq 2\) and all polynomials \(P ...
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On Multidimensional Inequality in Partitions of Multisets [PDF]
We study multidimensional inequality in partitions of finite multisets with thresholds. In such a setting, a Lorenz-like preorder, a family of functions preserving such a preorder, and a counterpart of the Pigou-Dalton transfers are defined, and a ...
Ernesto Savaglio, Stefano Vannucci
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On multidimensional inequality with variable distribution mean [PDF]
We compare alternative populations of individuals, who differ for many characteristics besides income, in terms of inequality. In order to achieve our aim, we extend the notion of Generalized Lorenz Preorder to a context of multivariate distributions ...
Ernesto Savaglio
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Remarks on some majorization inequalities
, 2012 This note revisits some majorization inequalities for eigenvalues, special attention is given to an elegant theorem of Hiroshima. An extension of the special case of Hiroshima's theorem is presented. Some discussion and open problems are also included.
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The Lorenz curve in economics and econometrics [PDF]
This paper surveys selected applications of the Lorenz curve and related stochastic orders in economics and econometrics, with a bias towards problems in statistical distribution theory. These include characterizations of income distributions in terms of
Christian Kleiber
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Shannon Type Inequalities for Kapur’s Entropy
Mathematics, 2018 In the paper, by methods of the theory of majorization, the authors establish the Schur m-convexity and Shannon type inequalities for Kapur’s entropy.
Bo-Yan Xi +4 more
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Measuring inequality of well-being with a correlation-sensitive multidimensional Gini index [PDF]
We propose to measure inequality of well-being with a multidimensional generalization of the Gini coefficient. We derive two inequality indices from their underlying social evaluation functions.
María Ana Lugo, Koen Decancq
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Nonlinear support vector machines through iterative majorization and I-splines [PDF]
To minimize the primal support vector machine (SVM) problem, wepropose to use iterative majorization. To do so, we propose to use it-erative majorization. To allow for nonlinearity of the predictors, we use(non)monotone spline transformations.
Groenen, P.J.F. +2 more
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