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A New Functional Form for Estimating Lorenz Curves

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  • Ortega, P, et al

Abstract

There are several functional forms for estimating Lorenz curves from grouped data. Based on studies of the Spanish distribution of income, the authors propose a new functional form which provides very good fits. Their specification contains the Pareto Lorenz curve as a particular case, and allows one to compute easily, with the provided formulae, the Gini, Kakwani, and Chakravarty inequality indexes. Coauthors are G. Martin, A. Fernandez, M. Ladoux, and A. Garcia. Copyright 1991 by The International Association for Research in Income and Wealth.

Suggested Citation

  • Ortega, P, et al, 1991. "A New Functional Form for Estimating Lorenz Curves," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 37(4), pages 447-452, December.
  • Handle: RePEc:bla:revinw:v:37:y:1991:i:4:p:447-52
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    Citations

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    Cited by:

    1. Sarabia, J. -M. & Castillo, Enrique & Slottje, Daniel J., 1999. "An ordered family of Lorenz curves," Journal of Econometrics, Elsevier, vol. 91(1), pages 43-60, July.
    2. Kwang Soo Cheong, 1999. "A Comparison of Alternative Functional Forms For Parametric Estimation of the Lorenz Curve," Working Papers 199902, University of Hawaii at Manoa, Department of Economics.
    3. Nicholas Rohde, 2008. "An alternative functional form for estimating the lorenz curve," Discussion Papers Series 384, School of Economics, University of Queensland, Australia.
    4. Rohde, Nicholas, 2009. "An alternative functional form for estimating the Lorenz curve," Economics Letters, Elsevier, vol. 105(1), pages 61-63, October.
    5. Gholamreza Hajargasht & William E. Griffiths, 2016. "Inference for Lorenz Curves," Department of Economics - Working Papers Series 2022, The University of Melbourne.
    6. Sarabia, José María & Castillo, Enrique & Pascual, Marta & Sarabia, María, 2005. "Mixture Lorenz curves," Economics Letters, Elsevier, vol. 89(1), pages 89-94, October.
    7. Navarro Espigares, J.L. & Hernández Torres, E., 2004. "Distribución y redistribución de la renta en la literatura española reciente," Estudios de Economía Aplicada, Estudios de Economía Aplicada, vol. 22, pages 29-65, Abril.
    8. Francois, Joseph F. & Rojas-Romagosa, Hugo, 2005. "The construction and interpretation of combined cross-section and time-series inequality datasets," Policy Research Working Paper Series 3748, The World Bank.
    9. WANG, Zuxiang & SMYTH, Russell & NG, Yew-Kwang, 2009. "A new ordered family of Lorenz curves with an application to measuring income inequality and poverty in rural China," China Economic Review, Elsevier, vol. 20(2), pages 218-235, June.
    10. Wodon, Quentin & Yitzhaki, Shlomo, 2003. "The effect of using grouped data on the estimation of the Gini income elasticity," Economics Letters, Elsevier, vol. 78(2), pages 153-159, February.
    11. ZuXiang Wang & Yew-Kwang Ng & Russell Smyth, 2007. "Revisiting The Ordered Family Of Lorenz Curves," Monash Economics Working Papers 19-07, Monash University, Department of Economics.
    12. Gebauer, Judith & Schober, Franz, 2005. "Information System Flexibility and the Performance of Business Processes," Working Papers 05-0112, University of Illinois at Urbana-Champaign, College of Business.
    13. Malcolm Asadoorian, 2008. "Simulating the spatial distribution of population and emissions to 2100," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 39(3), pages 199-221, March.
    14. Ogwang, Tomson & Gouranga Rao, U. L., 1996. "A new functional form for approximating the Lorenz curve," Economics Letters, Elsevier, vol. 52(1), pages 21-29, July.
    15. Ferreira, Luisa, 1996. "Poverty and inequality during structural adjustment in rural Tanzania," Policy Research Working Paper Series 1641, The World Bank.
    16. Melanie Krause, 2014. "Parametric Lorenz Curves and the Modality of the Income Density Function," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 60(4), pages 905-929, December.
    17. Ogwang, Tomson & Rao, U. L. Gouranga, 2000. "Hybrid models of the Lorenz curve," Economics Letters, Elsevier, vol. 69(1), pages 39-44, October.
    18. Masato Okamoto, 2014. "Interpolating the Lorenz Curve: Methods to Preserve Shape and Remain Consistent with the Concentration Curves for Components," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 60(2), pages 349-384, June.
    19. Chang, Andrew C. & Li, Phillip & Martin, Shawn M., 2017. "Comparing Cross-Country Estimates of Lorenz Curves Using a Dirichlet Distribution Across Estimators and Datasets," Finance and Economics Discussion Series 2017-062, Board of Governors of the Federal Reserve System (U.S.).
    20. Sarabia, José María & Gómez-Déniz, Emilio & Sarabia, María & Prieto, Faustino, 2010. "A general method for generating parametric Lorenz and Leimkuhler curves," Journal of Informetrics, Elsevier, vol. 4(4), pages 524-539.

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