Revisiting The Ordered Family Of Lorenz Curves
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- Villasenor, JoseA. & Arnold, Barry C., 1989. "Elliptical Lorenz curves," Journal of Econometrics, Elsevier, vol. 40(2), pages 327-338, February.
- Ryu, Hang K. & Slottje, Daniel J., 1996. "Two flexible functional form approaches for approximating the Lorenz curve," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 251-274.
- 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.
- Sarabia, José María & Castillo, Enrique & Pascual, Marta & Sarabia, María, 2005. "Mixture Lorenz curves," Economics Letters, Elsevier, vol. 89(1), pages 89-94, October.
- Schader, Martin & Schmid, Friedrich, 1994. "Fitting Parametric Lorenz Curves to Grouped Income Distributions--A Critical Note," Empirical Economics, Springer, vol. 19(3), pages 361-370.
- repec:bla:econom:v:50:y:1983:i:197:p:3-17 is not listed on IDEAS
- Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
- Kwang Soo Cheong, 2002. "An empirical comparison of alternative functional forms for the Lorenz curve," Applied Economics Letters, Taylor & Francis Journals, vol. 9(3), pages 171-176.
- Davies, James & Hoy, Michael, 1995.
"Making Inequality Comparisons When Lorenz Curves Intersect,"
American Economic Review, American Economic Association, vol. 85(4), pages 980-986, September.
- James B. Davies & Michael Hoy, 1994. "Making Inequality Comparisons When Lorenz Curves Intersect," University of Western Ontario, Departmental Research Report Series 9414, University of Western Ontario, Department of Economics.
- 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 278-292, June.
- Rossi, Jose W., 1985. "Notes on a new functional form for the Lorenz curve," Economics Letters, Elsevier, vol. 17(1-2), pages 193-197.
- repec:bla:revinw:v:37:y:1991:i:4:p:447-52 is not listed on IDEAS
- 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.
- P. Ortega & G. Martín & A. Fernández & M. Ladoux & A. García, 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.
- Gupta, Manash Ranjan, 1984. "Functional Form for Estimating the Lorenz Curve," Econometrica, Econometric Society, vol. 52(5), pages 1313-1314, September.
- Jose-Mari Sarabia, 1997. "A hierarchy of lorenz curves based on the generalized tukey's lambda distribution," Econometric Reviews, Taylor & Francis Journals, vol. 16(3), pages 305-320.
- Rasche, R H, et al, 1980. "Functional Forms for Estimating the Lorenz Curve: Comment," Econometrica, Econometric Society, vol. 48(4), pages 1061-1062, May.
- Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
- José-María Sarabia & Enrique Castillo & Daniel J. Slottje, 2001. "An Exponential Family of Lorenz Curves," Southern Economic Journal, John Wiley & Sons, vol. 67(3), pages 748-756, January.
- Holm, Juhani, 1993. "Maximum entropy Lorenz curves," Journal of Econometrics, Elsevier, vol. 59(3), pages 377-389, October.
- 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.
- Ogwang, Tomson & Rao, U. L. Gouranga, 2000. "Hybrid models of the Lorenz curve," Economics Letters, Elsevier, vol. 69(1), pages 39-44, October.
- 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.
- Chotikapanich, Duangkamon, 1993. "A comparison of alternative functional forms for the Lorenz curve," Economics Letters, Elsevier, vol. 41(2), pages 129-138.
- Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
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Cited by:
- Zuxiang Wang & Yew‐Kwang Ng & Russell Smyth, 2011.
"A General Method For Creating Lorenz Curves,"
Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 57(3), pages 561-582, September.
- ZuXiang Wang & Russell Smyth & Yew-Kwang Ng, 2009. "A General Method to Create Lorenz Models," Monash Economics Working Papers 06-09, Monash University, Department of Economics.
- ZuXiang Wang & Russell Smyth, 2007. "Two New Exponential Families Of Lorenz Curves," Monash Economics Working Papers 20-07, Monash University, Department of Economics.
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More about this item
Keywords
Lorenz curve; Gini index Abstract: Sarabia et al. (1999) present a basic model to create ordered families of Lorenz curves; along with basic theorems that describe the conditions for the models to satisfy the definition of the Lorenz curve. Using these basic models; they suggest a family which includes several well-known Lorenz models as special cases. This paper first shows that their basic theorems can be generalized. The paper then proceeds to propose additional families of Lorenz models. Finally the performance of some of the models is compared and it is shown that more efficient Lorenz models are possible with the assistance of our generalized result of the Sarabia et al. (1999) basic model.;All these keywords.
JEL classification:
- D3 - Microeconomics - - Distribution
- C5 - Mathematical and Quantitative Methods - - Econometric Modeling
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