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On estimation of some abbreviated social welfare measures

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  • Elsayed Elamir

Abstract

Point and interval estimations of two abbreviated social welfare functions are studied based on Schutz and Gini coefficients. The limit distributions of the estimators are derived in terms of sample L-moments and mean absolute deviation. A simulation study is performed to assess the bias in the estimators and the coverage probability of the confidence intervals. Unlike the previous studies our results do not require the grouping of population into a fixed number of quantiles. The proposed methods use distribution-free unbiased estimators and exact sample L-moment variances. An application is given that illustrates the benefits of the proposed methods. Copyright Springer Science+Business Media B.V. 2013

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  • Elsayed Elamir, 2013. "On estimation of some abbreviated social welfare measures," Quality & Quantity: International Journal of Methodology, Springer, vol. 47(3), pages 1561-1576, April.
    • Handle: RePEc:spr:qualqt:v:47:y:2013:i:3:p:1561-1576
    DOI: 10.1007/s11135-011-9609-8
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    1. Branko Milanovic, 2002. "True World Income Distribution, 1988 and 1993: First Calculation Based on Household Surveys Alone," Economic Journal, Royal Economic Society, vol. 112(476), pages 51-92, January.
    2. Sen, Amartya, 1997. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198292975.
    3. Barrett, Garry F. & Donald, Stephen G., 2009. "Statistical Inference with Generalized Gini Indices of Inequality, Poverty, and Welfare," Journal of Business & Economic Statistics, American Statistical Association, vol. 27, pages 1-17.
    4. Gastwirth, Joseph L, 1974. "Large Sample Theory of Some Measures of Income Inequality," Econometrica, Econometric Society, vol. 42(1), pages 191-196, January.
    5. Kikuchi, Tadashi, 2007. "An analysis of the impacts of development on Gini inequality using grouped and individual observations: Examples from the 1998 Vietnamese Household Expenditure Data," Journal of Asian Economics, Elsevier, vol. 18(3), pages 537-552, June.
    6. Sen, Amartya, 1974. "Informational bases of alternative welfare approaches : Aggregation and income distribution," Journal of Public Economics, Elsevier, vol. 3(4), pages 387-403, November.
    7. Charles M. Beach & Russell Davidson, 1983. "Distribution-Free Statistical Inference with Lorenz Curves and Income Shares," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(4), pages 723-735.
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