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The Theil Indices in Parametric Families of Income Distributions—A Short Review

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  • José María Sarabia
  • Vanesa Jordá
  • Lorena Remuzgo

Abstract

The Theil indices (Theil, ) are widely used measures for studying the degree of concentration and inequality in size income distributions. Their property of decomposability makes these indices especially useful in applied economic analysis. This paper is a synthetic review of the Theil indices for the most important and popular parametric income distributions. Extensions to higher dimensions are sketched.

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  • José María Sarabia & Vanesa Jordá & Lorena Remuzgo, 2017. "The Theil Indices in Parametric Families of Income Distributions—A Short Review," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 63(4), pages 867-880, December.
  • Handle: RePEc:bla:revinw:v:63:y:2017:i:4:p:867-880
    DOI: 10.1111/roiw.12260
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    2. Vanesa Jorda & José María Sarabia & Markus Jäntti, 2021. "Inequality measurement with grouped data: Parametric and non‐parametric methods," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 184(3), pages 964-984, July.
    3. Callealta Barroso, Francisco Javier & García-Pérez, Carmelo & Prieto-Alaiz, Mercedes, 2020. "Modelling income distribution using the log Student’s t distribution: New evidence for European Union countries," Economic Modelling, Elsevier, vol. 89(C), pages 512-522.
    4. Ying Pan & Ke Shi & Zhongxu Zhao & Yao Li & Junxi Wu, 2024. "The effects of China’s poverty eradication program on sustainability and inequality," Palgrave Communications, Palgrave Macmillan, vol. 11(1), pages 1-15, December.
    5. 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.
    6. Faustino Prieto & Catalina B. Garc'ia-Garc'ia & Rom'an Salmer'on G'omez, 2024. "Modelling Global Fossil CO2 Emissions with a Lognormal Distribution: A Climate Policy Tool," Papers 2403.00653, arXiv.org.
    7. William Griffiths & Duangkamon Chotikapanich & Gholamreza Hajargasht, 2021. "A Note on Inequality Measures for Mixtures of Double Pareto-Lognormal Distributions," Monash Econometrics and Business Statistics Working Papers 14/21, Monash University, Department of Econometrics and Business Statistics.

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