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A Comparison of Alternative Functional Forms For Parametric Estimation of the Lorenz Curve

  • Kwang Soo Cheong

    ()

    (Department of Economics, University of Hawaii at Manoa)

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    Using U.S. income data, we evaluate several functional forms for the Lorenz curve. On the basis of the goodness of fit, estimated income shares and Gini coefficients, the form proposed by Kakwani (1980) is found to be overall superior to the other forms.

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    File URL: http://www.economics.hawaii.edu/research/workingpapers/992.pdf
    File Function: First version, 1999
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    Paper provided by University of Hawaii at Manoa, Department of Economics in its series Working Papers with number 199902.

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    Length: 18 pages
    Date of creation: 1999
    Date of revision:
    Handle: RePEc:hai:wpaper:199902
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    1. Chotikapanich, Duangkamon, 1993. "A comparison of alternative functional forms for the Lorenz curve," Economics Letters, Elsevier, vol. 41(2), pages 129-138.
    2. 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 447-52, December.
    3. Basmann, R. L. & Hayes, K. J. & Slottje, D. J. & Johnson, J. D., 1990. "A general functional form for approximating the Lorenz curve," Journal of Econometrics, Elsevier, vol. 43(1-2), pages 77-90.
    4. Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-46, March.
    5. Kakwani, N C & Podder, N, 1973. "On the Estimation of Lorenz Curves from Grouped Observations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 278-92, June.
    6. Gupta, Manash Ranjan, 1984. "Functional Form for Estimating the Lorenz Curve," Econometrica, Econometric Society, vol. 52(5), pages 1313-14, September.
    7. Kakwani, Nanak C & Podder, N, 1976. "Efficient Estimation of the Lorenz Curve and Associated Inequality Measures from Grouped Observations," Econometrica, Econometric Society, vol. 44(1), pages 137-48, January.
    8. Rasche, R H, et al, 1980. "Functional Forms for Estimating the Lorenz Curve: Comment," Econometrica, Econometric Society, vol. 48(4), pages 1061-62, May.
    9. Guano Hua Wan, 1999. "An empirical assessment on alternative functional forms of the Lorenz curve," Applied Economics Letters, Taylor & Francis Journals, vol. 6(9), pages 597-599.
    10. 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.
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