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An alternative functional form for estimating the Lorenz curve

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  • Rohde, Nicholas

Abstract

We propose a simple single parameter functional form for the Lorenz curve. The new specification is fitted to existing data sets and is shown to provide a better fit than existing single parameter Lorenz curves for the given data.

Suggested Citation

  • Rohde, Nicholas, 2009. "An alternative functional form for estimating the Lorenz curve," Economics Letters, Elsevier, vol. 105(1), pages 61-63, October.
  • Handle: RePEc:eee:ecolet:v:105:y:2009:i:1:p:61-63
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    References listed on IDEAS

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    1. Chotikapanich, Duangkamon & Griffiths, William E. & Rao, D. S. Prasada, 2007. "Estimating and Combining National Income Distributions Using Limited Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 97-109, January.
    2. 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.
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    5. 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.
    6. Gupta, Manash Ranjan, 1984. "Functional Form for Estimating the Lorenz Curve," Econometrica, Econometric Society, vol. 52(5), pages 1313-1314, September.
    7. Rasche, R H, et al, 1980. "Functional Forms for Estimating the Lorenz Curve: Comment," Econometrica, Econometric Society, vol. 48(4), pages 1061-1062, May.
    8. Lerman, Robert I. & Yitzhaki, Shlomo, 1989. "Improving the accuracy of estimates of Gini coefficients," Journal of Econometrics, Elsevier, vol. 42(1), pages 43-47, September.
    9. 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 137-148, January.
    10. Chotikapanich, Duangkamon, 1993. "A comparison of alternative functional forms for the Lorenz curve," Economics Letters, Elsevier, vol. 41(2), pages 129-138.
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    Citations

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    Cited by:

    1. Wang, ZuXiang & Smyth, Russell, 2015. "A piecewise method for estimating the Lorenz curve," Economics Letters, Elsevier, vol. 129(C), pages 45-48.
    2. Helene, Otaviano, 2010. "Fitting Lorenz curves," Economics Letters, Elsevier, vol. 108(2), pages 153-155, August.
    3. Miguel Sordo & Jorge Navarro & José Sarabia, 2014. "Distorted Lorenz curves: models and comparisons," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(4), pages 761-780, April.
    4. Sarabia, José María & Prieto, Faustino & Jordá, Vanesa, 2015. "About the hyperbolic Lorenz curve," Economics Letters, Elsevier, vol. 136(C), pages 42-45.
    5. 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.
    6. Wang, ZuXiang & Smyth, Russell, 2015. "A hybrid method for creating Lorenz curves," Economics Letters, Elsevier, vol. 133(C), pages 59-63.
    7. Sarabia, José María & Prieto, Faustino & Sarabia, María, 2010. "Revisiting a functional form for the Lorenz curve," Economics Letters, Elsevier, vol. 107(2), pages 249-252, May.
    8. Wang, Yuanjun & You, Shibing, 2016. "An alternative method for modeling the size distribution of top wealth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 443-453.
    9. 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.).

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