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Approximation and decomposition of Gini, Pietra–Ricci and Theil inequality measures

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  • Benito Frosini

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    File URL: http://hdl.handle.net/10.1007/s00181-011-0464-1
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    Bibliographic Info

    Article provided by Springer in its journal Empirical Economics.

    Volume (Year): 43 (2012)
    Issue (Month): 1 (August)
    Pages: 175-197

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    Handle: RePEc:spr:empeco:v:43:y:2012:i:1:p:175-197

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    Related research

    Keywords: Income inequality; Gini; Pietra–Ricci and Theil indices; Decomposition of inequality measures; C46; D31;

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    References

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    1. Zagier, Don, 1983. "Inequalities for the Gini coefficient of composite populations," Journal of Mathematical Economics, Elsevier, vol. 12(2), pages 103-118, October.
    2. Deutsch, Joseph & Silber, Jacques, 1997. "Gini's "Transvariazione" and the Measurement of Distance between Distributions," Empirical Economics, Springer, vol. 22(4), pages 547-54.
    3. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-20, July.
    4. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-31.
    5. Benito V. Frosini, 2005. "Inequality measures for histograms," Statistica, Department of Statistics, University of Bologna, vol. 65(1), pages 27-40.
    6. Gastwirth, Joseph L, 1972. "The Estimation of the Lorenz Curve and Gini Index," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 306-16, August.
    7. Yitzhaki, Shlomo & Lerman, Robert I, 1991. "Income Stratification and Income Inequality," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 37(3), pages 313-29, September.
    8. Cowell, Frank A, 1980. "On the Structure of Additive Inequality Measures," Review of Economic Studies, Wiley Blackwell, vol. 47(3), pages 521-31, April.
    9. Silber, Jacques, 1989. "Factor Components, Population Subgroups and the Computation of the Gini Index of Inequality," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 107-15, February.
    10. Masato Okamoto, 2009. "Decomposition of gini and multivariate gini indices," Journal of Economic Inequality, Springer, vol. 7(2), pages 153-177, June.
    11. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April.
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    Cited by:
    1. Alex Cobham, Andy Sumner, 2013. "Is It All About the Tails? The Palma Measure of Income Inequality-Working Paper 343," Working Papers 343, Center for Global Development.
    2. Alex Cobham & Andrew Sumner, 2013. "Is it all about the tails? The Palma measure of income inequality," Working Papers 308, ECINEQ, Society for the Study of Economic Inequality.

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