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The Estimation and Interpolation of Inequality Measures

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  • Frank A. Cowell
  • Fatemeh Mehta

Abstract

Alternative methods of computing estimates of inequality measures from grouped data are critically examined in terms of their theoretical and empirical properties. The use of a simple "split-histogram" technique of interpolation is explained and supported. Theoretical and empirical support is also provided for the "⅓/⅔ rule"—a simple computational procedure for a point estimate of an inequality measure derived from its standard grouping bounds.

Suggested Citation

  • Frank A. Cowell & Fatemeh Mehta, 1982. "The Estimation and Interpolation of Inequality Measures," Review of Economic Studies, Oxford University Press, vol. 49(2), pages 273-290.
  • Handle: RePEc:oup:restud:v:49:y:1982:i:2:p:273-290.
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    File URL: http://hdl.handle.net/10.2307/2297275
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    Cited by:

    1. Andrea Brandolini, 1999. "The Distribution of Personal Income in Post-War Italy: Source Description, Data Quality, and the Time Pattern of Income Inequality," Giornale degli Economisti, GDE (Giornale degli Economisti e Annali di Economia), Bocconi University, vol. 58(2), pages 183-239, September.
    2. Irving Fisher Committee, 2013. "Proceedings of the Sixth IFC Conference on "Statistical issues and activities in a changing environment", Basel, 28-29 August 2012," IFC Bulletins, Bank for International Settlements, number 36.
    3. Allanson, Paul & Hubbard, Lionel, 1999. "On the Comparative Evaluation of Agricultural Income Distributions in the European Union," European Review of Agricultural Economics, Foundation for the European Review of Agricultural Economics, vol. 26(1), pages 1-17, March.
    4. Guanghua Wan, 2012. "Towards Greater Equality in China: The Economic Growth Dividend," Working Papers 2012/33, Maastricht School of Management.
    5. Ichida, Yukinobu & Kondo, Katsunori & Hirai, Hiroshi & Hanibuchi, Tomoya & Yoshikawa, Goshu & Murata, Chiyoe, 2009. "Social capital, income inequality and self-rated health in Chita peninsula, Japan: a multilevel analysis of older people in 25 communities," Social Science & Medicine, Elsevier, vol. 69(4), pages 489-499, August.
    6. Chávez Juan Carlos & García Loredo Katia, 2015. "Identification of Regional Clusters in Mexican Manufacturing Industry," Working Papers 2015-19, Banco de México.
    7. Wang, ZuXiang & Smyth, Russell, 2015. "A piecewise method for estimating the Lorenz curve," Economics Letters, Elsevier, vol. 129(C), pages 45-48.
    8. repec:dun:dpaper:93 is not listed on IDEAS
    9. Fernando Ávila & Emilio Flores & Fabrizio López-Gallo & Javier Márquez, 2013. "Concentration indicators: assessing the gap between aggregate and detailed data," IFC Bulletins chapters,in: Bank for International Settlements (ed.), Proceedings of the Sixth IFC Conference on "Statistical issues and activities in a changing environment", Basel, 28-29 August 2012., volume 36, pages 542-559 Bank for International Settlements.
    10. Kleiber, Christian, 1997. "The existence of population inequality measures," Economics Letters, Elsevier, vol. 57(1), pages 39-44, November.
    11. Tony Atkinson, 2002. "Top Incomes in the United Kingdom Over the Twentieth Century," Economics Series Working Papers 2002-W43, University of Oxford, Department of Economics.
    12. Enrico D’Elia & Bianca Martelli, 2003. "Estimation of Households Income from Bracketed Income Survey Data," ISAE Working Papers 35, ISTAT - Italian National Institute of Statistics - (Rome, ITALY).
    13. López-García, Hortensia & López-Díaz, Miguel & Gil, María Angeles, 2000. "Interval-valued quantification of the inequality associated with a random set," Statistics & Probability Letters, Elsevier, vol. 46(2), pages 149-159, January.
    14. Mark W. Frank, 2008. "A New State-Level Panel of Annual Inequality Measures Over the Period 1916 – 2005," Working Papers 0802, Sam Houston State University, Department of Economics and International Business.

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