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An alternative single parameter functional form for Lorenz curve

Author

Listed:
  • Satya Paul
  • Sriram Shankar

Abstract

This paper proposes a single parameter functional form for the Lorenz curve and compares its performance with the existing single parameter functional forms using Australian income data for 10 years. The proposed parametric functional form performs better than the existing Lorenz functional forms. The Gini based on the proposed functional form is closest to true Gini each year.

Suggested Citation

  • Satya Paul & Sriram Shankar, 2017. "An alternative single parameter functional form for Lorenz curve," Crawford School Research Papers 1712, Crawford School of Public Policy, The Australian National University.
    • Handle: RePEc:een:crwfrp:1712
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    File URL: https://crawford.anu.edu.au/publication/crawford-school-working-papers/12020/alternative-single-parameter-functional-form-lorenz
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    Cited by:

    1. Pingsheng Dai & Sitong Shen, 2025. "Estimation of the Gini coefficient based on two quantiles," PLOS ONE, Public Library of Science, vol. 20(2), pages 1-13, February.
    2. Thitithep Sitthiyot & Kanyarat Holasut, 2021. "A simple method for estimating the Lorenz curve," Humanities and Social Sciences Communications, Palgrave Macmillan, vol. 8(1), pages 1-9, December.
    3. Dilanka S. Dedduwakumara & Luke A. Prendergast & Robert G. Staudte, 2021. "Some confidence intervals and insights for the proportion below the relative poverty line," SN Business & Economics, Springer, vol. 1(10), pages 1-22, October.
    4. Xiaobo Shen & Pingsheng Dai, 2024. "A regression method for estimating Gini index by decile," Humanities and Social Sciences Communications, Palgrave Macmillan, vol. 11(1), pages 1-8, December.
    5. Thitithep Sitthiyot & Kanyarat Holasut, 2023. "An investigation of the performance of parametric functional forms for the Lorenz curve," PLOS ONE, Public Library of Science, vol. 18(6), pages 1-21, June.
    6. José María Sarabia & Vanesa Jordá & Mercedes Tejería, 2025. "Estimating Income Inequality Using Single-Parameter Lorenz Curves: A New Proposal," Empirical Economics, Springer, vol. 69(2), pages 581-597, August.

    More about this item

    Keywords

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    JEL classification:

    • C80 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - General
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution

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