Selecting the most diverse population using Gini measure of income inequality
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A variety of measures are used to compare income inequalities, many of which have been derived from Lorenz curve. However, classical Gini coefficient and its variations are probably the most commonly used measures of income inequality. They are considered as the best measures by many scientists, but it is also recognized that the choice of age-grouping affects the Gini measures (Formby, et al.1989). Bhattacharya and Mahalanobis (1967) recognized that because income
distributions overlap extensively, the effect of age group on inequality is overestimated. Many procedures are available for ordering and ranking income
distributions where the ordering is not linear. However, the researchers often are not interested in ordering the populations but selecting the best (or worst) of available populations indicating a lower (or higher) level of disparities in incomes within the population. This paper will discuss the approximation to the sampling distribution of Gini Measure of inequality and selection of a population with most diversity in its constituents as measured by it.
Keywords: Selection procedure, Least favorable configuration, probability of correct selection, Gini coefficient. Author biographyMadhuri S. Mulekar, Department of Mathematics & Statistics, University of South Alabama, Mobile, AL 36688 (e-mail: mmulekar@jaguar1.usouthal.edu). |
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