Functional Form for Estimating the Lorenz Curve

  • Bijan Bidabad Professor, Economics and Chief Islamic Banking Advisor, Bank Melli, Iran
  • Behrouz Bidabad Faculty of Mathematics, Polytechnics University, Hafez Ave, Tehran, 15914, Iran
Keywords: Lorenz Curve, Functional Form, Estimation, Income Inequality, Distribution


A flexible Lorenz curve which offers different curvatures allowed by the theory of income distribution is introduced. The intrinsically autoregressive nature of the errors in cumulative data of the Lorenz curve is also under consideration.



Gupta, M.R. “Functional Forms For Estimating the Lorenz Curve”, Econometrica. 52(1984), 1313-1314.

Hagen, E.E. “The Economics of Development”. Richard D. Irwin, Inc. Homewood, Illinois. 1975, 216-217.

Kakwani, N.C. “Functional Form for Estimating the Lorenz Curve: A Reply”. Econometrica, 48, (1980). 1063-1064.

Kakwani, N.C.; N. Podder, “Efficient Estimation of the Lorenz Curve and Associated Inequality Measures from Grouped Observations.” Econometrica. 44(1976), 137-148.

Rasche, R.H., J. Gaffney, A.Y.C. Koo, Anan. Ofst: “Functional Forms for Estimating the Lorenz Curve,” Econometrica, 48(1980), 1061-1062.

Bidabad, Bijan, Continuous L1 norm estimation of Lorenz curve.

Bidabad, Bijan, Estimating Lorenz curve for Iran by using continuous L1 norm estimation, Economics and Management Journal, Islamic Azad University, No. 19, winter 1993, pp. 83-101.

Bidabad, Bijan, USA Income distribution counter-business-cyclical trend (Estimating Lorenz curve using continuous L1 norm estimation). First meeting of the Society for the Study of Economic Inequality (ECINEQ), Palma de Mallorca, Spain, July 20-22, 2005.

Bidabad, Bijan, Hamid Shahrestani. An implied inequality index using L1 norm estimation of Lorenz curve. Global Conference on Business and Finance Proceedings. Mercedes Jalbert, managing editor, ISSN 1931-0285 CD, ISSN 1941-9589 Online, Volume 3, Number 2, 2008, The Institute for Business and Finance Research, Ramada Plaza Herradura, San Jose, Costa Rica, May 28-31, 2008, pp. 148-163. Global Journal of Business Research, Vol. 4, No. 1, 2010, pp.29-45.

How to Cite
Bidabad, B., & Bidabad, B. (2019). Functional Form for Estimating the Lorenz Curve. American Finance & Banking Review, 4(1), 17-21.
Original Articles/Review Articles/Case Reports/Short Communications