On Gini mean difference bounds via generalised Iyengar resultsPietro Cerone

Authors : Pietro CERONE

Pages : 789-799

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Publication Date : 2015-08-01

Article Type : Research Paper

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. 
Keywords : Gini mean difference, Gini index, Lorenz curve, Variance, Coefficient of variation, Iyengar inequality, Riemann Stieltjes