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Distributionally-Sensitive Inequality Indices And The Gb2 Income Distribution


  • Stephen P. Jenkins


The Generalized Beta of the Second Kind (GB2) income distribution provides an excellent description of income distributions. However the degree of inequality implied by GB2 parameter estimates is typically summarized using the Gini coefficient only. This paper provides formulae for the Generalized Entropy class of inequality indices for GB2 distributions, thereby providing a full range of top-sensitive and bottom-sensitive measures. The usefulness of having a portfolio of distributionally-sensitive indices is demonstrated using GB2-based estimates of British income inequality in 1994/95 and 2004/05. Copyright 2009 The Author. Journal compilation International Association for Research in Income and Wealth 2009.

Suggested Citation

  • Stephen P. Jenkins, 2009. "Distributionally-Sensitive Inequality Indices And The Gb2 Income Distribution," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 55(2), pages 392-398, June.
  • Handle: RePEc:bla:revinw:v:55:y:2009:i:2:p:392-398

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    References listed on IDEAS

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    Cited by:

    1. Richard Burkhauser & Shuaizhang Feng & Stephen Jenkins & Jeff Larrimore, 2009. "Recent Trends in Top Income Shares in the USA: Reconciling Estimates from March CPS and IRS Tax Return Data," Working Papers 09-26, Center for Economic Studies, U.S. Census Bureau.
    2. Cecilia García-Peñalosa & Elsa Orgiazzi, 2013. "Factor Components of Inequality: A Cross-Country Study," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 59(4), pages 689-727, December.
    3. Jose Maria Sarabia & Francisco Azpitarte, 2012. "On the relationship between objective and subjective inequality indices and the natural rate of subjective inequality," Working Papers 248, ECINEQ, Society for the Study of Economic Inequality.
    4. Richard Burkhauser & Shuaizhang Feng & Stephen Jenkins & Jeff Larrimore, 2011. "Estimating trends in US income inequality using the Current Population Survey: the importance of controlling for censoring," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(3), pages 393-415, September.
    5. Markus P. A. Schneider, 2013. "Race & Gender Differences in the Experience of Earnings Inequality in the US from 1995 to 2010," Working Papers 1303, New School for Social Research, Department of Economics.
    6. Kitov, Ivan & Kitov, Oleg, 2015. "Gender income disparity in the USA: analysis and dynamic modelling," MPRA Paper 67146, University Library of Munich, Germany.
    7. Harttgen, Kenneth & Klasen, Stephan, 2012. "A Household-Based Human Development Index," World Development, Elsevier, vol. 40(5), pages 878-899.
    8. David Warner & Prasada Rao & William E. Griffiths & Duangkamon Chotikapanich, 2011. "Global Inequality: Levels and Trends, 1993-2005," Discussion Papers Series 436, School of Economics, University of Queensland, Australia.
    9. Frank A. Cowell & Philippe Kerm, 2015. "Wealth Inequality: A Survey," Journal of Economic Surveys, Wiley Blackwell, vol. 29(4), pages 671-710, September.
    10. Fabio Clementi & Mauro Gallegati & Giorgio Kaniadakis, 2012. "A new model of income distribution: the κ-generalized distribution," Journal of Economics, Springer, vol. 105(1), pages 63-91, January.
    11. Sarabia, José María & Jordá, Vanesa, 2014. "Explicit expressions of the Pietra index for the generalized function for the size distribution of income," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 582-595.
    12. Philippe Van Kerm & Seunghee Yu & Chung Choe, 2016. "Decomposing quantile wage gaps: a conditional likelihood approach," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 65(4), pages 507-527, August.
    13. Hajargasht, Gholamreza & Griffiths, William E., 2013. "Pareto–lognormal distributions: Inequality, poverty, and estimation from grouped income data," Economic Modelling, Elsevier, vol. 33(C), pages 593-604.
    14. Michał Brzeziński, 2013. "Parametric Modelling of Income Distribution in Central and Eastern Europe," Central European Journal of Economic Modelling and Econometrics, CEJEME, vol. 5(3), pages 207-230, September.
    15. Fiorio, Carlo V. & Saget, Catherine., 2010. "Reducing or aggravating inequality? : Preliminary findings from the 2008 financial crisis," ILO Working Papers 994564873402676, International Labour Organization.
    16. Jordá, Vanesa & Alonso, José M., 2017. "New Estimates on Educational Attainment Using a Continuous Approach (1970–2010)," World Development, Elsevier, vol. 90(C), pages 281-293.
    17. Markus Schneider, 2013. "Illustrating the Implications of How Inequality is Measured: Decomposing Earnings Inequality by Race and Gender," Journal of Labor Research, Springer, vol. 34(4), pages 476-514, December.
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    19. Brzezinski, Michal, 2014. "Empirical modeling of the impact factor distribution," Journal of Informetrics, Elsevier, vol. 8(2), pages 362-368.

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