About the hyperbolic Lorenz curve
In a recent paper in this journal, Wang and Smyth (2015) propose a new bi-parametric functional form for the Lorenz curve and use it to derive new parametric forms. In this paper, we demonstrate that the new bi-parametric model is a reparameterization of the hyperbolic Lorenz curve proposed by Arnold (1986). We obtain new and important properties not previously considered.
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References listed on IDEAS
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- 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.
- Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, vol. 22(1), pages 67-86, February.
- Rohde, Nicholas, 2009. "An alternative functional form for estimating the Lorenz curve," Economics Letters, Elsevier, vol. 105(1), pages 61-63, October.
- 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.
- Yitzhaki, Shlomo, 1983. "On an Extension of the Gini Inequality Index," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 617-628, October.
- Wang, ZuXiang & Smyth, Russell, 2015. "A hybrid method for creating Lorenz curves," Economics Letters, Elsevier, vol. 133(C), pages 59-63.
- 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.
- Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-446, March.
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