Some remarks on Lorenz ordering-preserving functionals

DOI10.1007/BF02511642zbMath1154.62306OpenAlexW2015007036MaRDI QIDQ998888

Lucio Bertoli-Barsotti

Publication date: 30 January 2009

Published in: Statistical Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02511642

zbMATH Keywords

Lorenz ordering continuous majorization stochastic dominance isotonicity Schur-convexity Zenga \(Z\) concentration index

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characterization and structure theory of statistical distributions (62E10)

Related Items (3)

Weak orderings for intersecting Lorenz curves ⋮ A multi-decomposition of Zenga-84 inequality index: an application to the disparity in \(\mathrm{CO}_2\) emissions in European countries ⋮ Decomposition by subpopulations of the Zenga-84 inequality curve and the related index \(\zeta\): an application to 2014 bank of Italy survey

Cites Work

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• On some inequalities for functions with nondecreasing increments
• Majorization and the Lorenz order: a brief introduction
• On the representation of doubly stochastic operators
• Integral inequalities for functions with nondecreasing increments
• A note on zenga concentration index
• Stochastic Dominance and Moments of Distributions
• The Class of Additively Decomposable Inequality Measures
• Mean life of series and parallel systems
• A General Definition of the Lorenz Curve
• An Integral Inequality
• Inequalities: theory of majorization and its applications

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