Okamoto, Masato (2012): The Relationship between the Equivalence Scale and the Inequality Index and Its Impact on the Measurement of Income Inequality.

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Abstract
The paper discusses the ∪shaped relationship between the equivalence scale n^ε and the Gini index instead of considering the equivalence scale’s relationship to the generalised entropy measures, which was studied by Coulter, et al. (1992). An endpoint condition is given for the ∪shaped relationship, which corresponds to a condition for that of the generalised entropy measures. Additionally, using a mixture of lognormal distributions approach, five factors are shown to be required for a convex relationship between size elasticity and the Gini index. Empirically, income distributions satisfy those factors. Thus, the endpoint condition essentially determines the shape of the relationship.
Item Type:  MPRA Paper 

Original Title:  The Relationship between the Equivalence Scale and the Inequality Index and Its Impact on the Measurement of Income Inequality 
Language:  English 
Keywords:  inequality; income distribution; equivalence scale 
Subjects:  D  Microeconomics > D6  Welfare Economics > D63  Equity, Justice, Inequality, and Other Normative Criteria and Measurement D  Microeconomics > D3  Distribution > D31  Personal Income, Wealth, and Their Distributions 
Item ID:  37410 
Depositing User:  Masato Okamoto 
Date Deposited:  17. Mar 2012 12:37 
Last Modified:  12. Feb 2013 08:25 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/37410 