On the Approximation and Bounds of the Gini Mean Difference

DOI10.1007/978-1-4939-0258-3_17zbMath1355.60020OpenAlexW76536471MaRDI QIDQ3193156

Pietro Cerone

Publication date: 15 October 2015

Published in: Analytic Number Theory, Approximation Theory, and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-0258-3_17

zbMATH Keywords

Gini indexLorenz curveGini mean difference

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Inequalities for sums, series and integrals (26D15)

Cites Work

• Bounds for the Gini mean difference via the Sonin identity
• Bounds for the Gini mean difference via the Korkine identity
• Bibliographic portrait of the Gini concentration ratio
• Bounds for the Gini mean difference of continuous distributions defined on finite intervals. II
• Bounds for the Gini mean difference of continuous distributions defined on finite intervals. I
• On Young's inequality and its reverse for bounding the Lorenz curve and Gini mean
• Bounding the Gini Mean Difference
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