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A family of arctan Lorenz curves

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  • E. Gómez-Déniz

    (University of Las Palmas de Gran Canaria)

Abstract

This paper presents a new family of parametric Lorenz curves based on the arctan function and adding a parameter $$-\infty

Suggested Citation

  • E. Gómez-Déniz, 2016. "A family of arctan Lorenz curves," Empirical Economics, Springer, vol. 51(3), pages 1215-1233, November.
    • Handle: RePEc:spr:empeco:v:51:y:2016:i:3:d:10.1007_s00181-015-1031-y
    DOI: 10.1007/s00181-015-1031-y
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    References listed on IDEAS

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    1. 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.
    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.
    3. repec:bla:revinw:v:37:y:1991:i:4:p:447-52 is not listed on IDEAS
    4. 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.
    5. Freedman, David A., 2006. "On The So-Called "Huber-Sandwich Estimator" and "Robust Standard Errors"," The American Statistician, American Statistical Association, vol. 60, pages 299-302, November.
    6. Chotikapanich, Duangkamon & Griffiths, William E, 2002. "Estimating Lorenz Curves Using a Dirichlet Distribution," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(2), pages 290-295, April.
    7. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
    8. 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.
    9. Benito Frosini, 2012. "Approximation and decomposition of Gini, Pietra–Ricci and Theil inequality measures," Empirical Economics, Springer, vol. 43(1), pages 175-197, August.
    10. 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.
    11. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
    12. Benito V. Frosini, 2005. "Inequality measures for histograms," Statistica, Department of Statistics, University of Bologna, vol. 65(1), pages 27-40.
    13. 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.
    14. Chotikapanich, Duangkamon, 1993. "A comparison of alternative functional forms for the Lorenz curve," Economics Letters, Elsevier, vol. 41(2), pages 129-138.
    15. 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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    Cited by:

    1. Satya Paul & Sriram Shankar, 2020. "An alternative single parameter functional form for Lorenz curve," Empirical Economics, Springer, vol. 59(3), pages 1393-1402, September.

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