Abstract
In this chapter we will study inequality measures for two flexible families of income distributions: the McDonald family ( McDonald, Econometrica 52:647–663, 1984) and the family of generalized Pareto distributions proposed by Arnold (Pareto distributions. International Cooperative Publishing House, Fairland, MD, 1983, Pareto distributions, 2nd edn. CRC Press, Taylor & Francis Group, Boca Raton, FL 2015). We will include analytic expressions for the Lorenz curve, Gini indices, and other inequality measures for the different distributions of the two families.
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Arnold, B.C., Sarabia, J.M. (2018). Inequality Analysis in Families of Income Distributions. In: Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics. Statistics for Social and Behavioral Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-93773-1_10
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