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The properties of the extended Gini measures of variability and inequality

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  • Shlomo Yitzhaki
  • Edna Schechtman

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  • Shlomo Yitzhaki & Edna Schechtman, 2005. "The properties of the extended Gini measures of variability and inequality," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 401-433.
  • Handle: RePEc:mtn:ancoec:si7
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    File URL: ftp://metron.sta.uniroma1.it/RePEc/articoli/si7.pdf
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    References listed on IDEAS

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    1. D'Ambrosio, Conchita & Frick, Joachim R., 2004. "Subjective Well-Being and Relative Deprivation: An Empirical Link," IZA Discussion Papers 1351, Institute for the Study of Labor (IZA).
    2. Gregory-Allen, Russell B & Shalit, Haim, 1999. "The Estimation of Systematic Risk under Differentiated Risk Aversion: A Mean-Extended Gini Approach," Review of Quantitative Finance and Accounting, Springer, vol. 12(2), pages 135-157, March.
    3. Duclos, Jean-Yves, 1998. "Social evaluation functions, economic isolation and the Suits index of progressivity," Journal of Public Economics, Elsevier, vol. 69(1), pages 103-121, July.
    4. Dorfman, Robert, 1979. "A Formula for the Gini Coefficient," The Review of Economics and Statistics, MIT Press, vol. 61(1), pages 146-149, February.
    5. Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, vol. 22(1), pages 67-86, February.
    6. Samuel Kotz & Christian Kleiber, 2002. "A characterization of income distributions in terms of generalized Gini coefficients," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 789-794.
    7. Giovanni Maria Giorgi, 2005. "A fresh look at the topical interest of the Gini concentration ratio," Econometrics 0511005, University Library of Munich, Germany.
    8. Angus Deaton, 2001. "Relative Deprivation, Inequality, and Mortality," NBER Working Papers 8099, National Bureau of Economic Research, Inc.
    9. Jean-Yves Duclos, 2000. "Gini Indices and the Redistribution of Income," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 7(2), pages 141-162, March.
    10. Chakravarty, Satya R, 1988. "Extended Gini Indices of Inequality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(1), pages 147-156, February.
    11. Donaldson, David & Weymark, John A., 1983. "Ethically flexible gini indices for income distributions in the continuum," Journal of Economic Theory, Elsevier, vol. 29(2), pages 353-358, April.
    12. G. Hanoch & H. Levy, 1969. "The Efficiency Analysis of Choices Involving Risk," Review of Economic Studies, Oxford University Press, vol. 36(3), pages 335-346.
    13. Z. M. Berrebi & Jacques Silber, 1985. "Income Inequality Indices and Deprivation: A Generalization," The Quarterly Journal of Economics, Oxford University Press, vol. 100(3), pages 807-810.
    14. Silber, Jacques, 1993. "Inequality Decomposition by Income," The Review of Economics and Statistics, MIT Press, vol. 75(3), pages 545-547, August.
    15. Kapteyn, Arie & Wansbeek, Tom, 1982. "Empirical evidence on preference formation," Journal of Economic Psychology, Elsevier, vol. 2(2), pages 137-154, June.
    16. Walter Bossert & Conchita D’Ambrosio, 2007. "Dynamic Measures of Individual Deprivation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 77-88, January.
    17. Chotikapanich, Duangkamon & Griffiths, William, 2001. "On Calculation of the Extended Gini Coefficient," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 47(4), pages 541-547, December.
    18. Bishop, John A & Chakraborti, Subhabrata & Thistle, Paul D, 1991. " Relative Deprivation and Economic Welfare: A Statistical Investigation with Gini-Based Welfare Indices," Scandinavian Journal of Economics, Wiley Blackwell, vol. 93(3), pages 421-437.
    19. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
    20. Layard, Richard, 1980. "Human Satisfactions and Public Policy," Economic Journal, Royal Economic Society, vol. 90(363), pages 737-750, December.
    21. Rolf Aaberge, 2000. "Characterizations of Lorenz curves and income distributions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 639-653.
    22. 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 306-316, August.
    23. Frick, Joachim R. & Goebel, Jan & Schechtman, Edna & Wagner, Gert G. & Yitzhaki, Shlomo, 2004. "Using Analysis of Gini (ANoGi) for Detecting Whether Two Sub-Samples Represent the Same Universe: The SOEP Experience," IZA Discussion Papers 1049, Institute for the Study of Labor (IZA).
    24. Giovanni Maria Giorgi, 2005. "Bibliographic portrait of the Gini concentration ratio," Econometrics 0511004, University Library of Munich, Germany.
    25. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
    26. Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-446, March.
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    Cited by:

    1. Berkhouch, Mohammed & Lakhnati, Ghizlane, 2017. "Extended Gini-type measures of risk and variability," MPRA Paper 80329, University Library of Munich, Germany.
    2. Khosravi Tanak, A. & Mohtashami Borzadaran, G.R. & Ahmadi, J., 2017. "Maximum Tsallis entropy with generalized Gini and Gini mean difference indices constraints," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 554-560.
    3. Mohammed Berkhouch & Ghizlane Lakhnati & Marcelo Brutti Righi, 2017. "Extended Gini-type measures of risk and variability," Papers 1707.07322, arXiv.org, revised Mar 2018.

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