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A note on inequality measures for mixtures of double Pareto–lognormal distributions

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  • William Griffiths
  • Duangkamon Chotikapanich
  • Gholamreza Hajargasht

Abstract

Formulas are derived for the Gini, Theil and Pietra coefficients for a population‐weighted mixture of double Pareto–lognormal (dPLN) distributions; they are applied to South America for 2 years. Results are also provided for the special case Pareto–lognormal and lognormal distributions. The formulas are useful for measuring regional or global inequality in large‐scale projects that utilise dPLN distributions or their special cases.

Suggested Citation

  • William Griffiths & Duangkamon Chotikapanich & Gholamreza Hajargasht, 2022. "A note on inequality measures for mixtures of double Pareto–lognormal distributions," Australian Economic Papers, Wiley Blackwell, vol. 61(2), pages 280-290, June.
    • Handle: RePEc:bla:ausecp:v:61:y:2022:i:2:p:280-290
    DOI: 10.1111/1467-8454.12247
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    References listed on IDEAS

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    6. Hajargasht, Gholamreza & Griffiths, William E., 2013. "Pareto–lognormal distributions: Inequality, poverty, and estimation from grouped income data," Economic Modelling, Elsevier, vol. 33(C), pages 593-604.
    7. Toda, Alexis Akira, 2017. "A Note On The Size Distribution Of Consumption: More Double Pareto Than Lognormal," Macroeconomic Dynamics, Cambridge University Press, vol. 21(6), pages 1508-1518, September.
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    Cited by:

    1. Tomson Ogwang & Jean-François Lamarche, 2024. "Hybrid measures of multidimensional poverty," Empirical Economics, Springer, vol. 67(3), pages 1211-1233, September.

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