A variety of mathematical inequalities have been utilised to obtain approximation and bounds of the Gini mean difference.The Gini mean difference or the related index is a widely used measure of inequality in numerous areas such as in health, finance and population attributes arenas.The paper extends the Iyengar inequality to a Riemann-Stieltjes setting and obtains new results relating to the Gini mean difference.
📌 3 Key Takeaways
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Objective & Hypothesis:A variety of mathematical inequalities have been utilised to obtain approximation and bounds of the Gini mean difference.The Gini mean difference or the related index is a widely used measure of inequality in numerous areas such as in health, finance and population attributes arenas.The paper extends the Iyengar inequality to a Riemann-Stieltjes setting and obtains new results relating to the Gini mean difference.
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Key Findings & Data:A variety of mathematical inequalities have been utilised to obtain approximation and bounds of the Gini mean difference.The Gini mean difference or the related index is a widely used measure of inequality in numerous areas such as in health, finance and population attributes arenas.The paper extends the Iyengar inequality to a Riemann-Stieltjes setting and obtains new results relating to the Gini mean difference.
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Conclusion & Impact:A variety of mathematical inequalities have been utilised to obtain approximation and bounds of the Gini mean difference.The Gini mean difference or the related index is a widely used measure of inequality in numerous areas such as in health, finance and population attributes arenas.The paper extends the Iyengar inequality to a Riemann-Stieltjes setting and obtains new results relating to the Gini mean difference.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Gini mean difference · Gini index · Lorenz curve
Abstract
A variety of mathematical inequalities have been utilised to obtain approximation and bounds of the Gini mean difference.The Gini mean difference or the related index is a widely used measure of inequality in numerous areas such as in health, finance and population attributes arenas.The paper extends the Iyengar inequality to a Riemann-Stieltjes setting and obtains new results relating to the Gini mean difference.
CERONE, P. (2022). On Gini mean difference bounds via generalised Iyengar resultsPietro Cerone. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 4, 789–799. https://ajindex.com/articles/530266