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Linking Gini to Entropy : Measuring Inequality by an interpersonal class of indices

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  • Célestin Chameni Nembua

    (Université de Yaoundé II, Faculté des sciences Economiques et de Gestion, Dept des techniques quantitatives)

Abstract

The aim of this paper is to propose a new class of inequality indices. It is a generalisation of Gini coefficient based on his interpersonal expression. We inter into axiomatic properties of our indices and we show that they are relative, regular indices which, in particular, satisfy the Pigou-Dalton transfer principle.

Suggested Citation

  • Célestin Chameni Nembua, 2006. "Linking Gini to Entropy : Measuring Inequality by an interpersonal class of indices," Economics Bulletin, AccessEcon, vol. 4(5), pages 1-9.
    • Handle: RePEc:ebl:ecbull:eb-06d00002
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    References listed on IDEAS

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    1. repec:ebl:ecbull:v:4:y:2003:i:7:p:1-6 is not listed on IDEAS
    2. Pyatt, Graham, 1976. "On the Interpretation and Disaggregation of Gini Coefficients," Economic Journal, Royal Economic Society, vol. 86(342), pages 243-255, June.
    3. Duangkamon Chotikapanich & William Griffiths, 2001. "On Calculation of the Extended Gini Coefficient," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 47(4), pages 541-547, December.
    4. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-920, July.
    5. 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.
    6. Cowell, Frank A., 1980. "Generalized entropy and the measurement of distributional change," European Economic Review, Elsevier, vol. 13(1), pages 147-159, January.
    7. Stéphane Mussard & Michel Terraza & Françoise Seyte, 2003. "Decomposition of Gini and the generalized entropy inequality measures," Economics Bulletin, AccessEcon, vol. 4(7), pages 1-6.
    8. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-531.
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    Cited by:

    1. Mornet, Pauline & Zoli, Claudio & Mussard, Stéphane & Sadefo-Kamdem, Jules & Seyte, Françoise & Terraza, Michel, 2013. "The (α, β)-multi-level α-Gini decomposition with an illustration to income inequality in France in 2005," Economic Modelling, Elsevier, vol. 35(C), pages 944-963.
    2. Antonio Abatemarco, 2010. "Measuring inequality of opportunity through between-group inequality components," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(4), pages 475-490, December.
    3. Stéphane Mussard & Pauline Mornet, 2019. "A Note on α‐Gini Measures," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 65(3), pages 675-682, September.
    4. Mario Schlemmer, 2021. "Coupling the Gini and Angles to Evaluate Economic Dispersion," Papers 2110.13847, arXiv.org, revised Sep 2022.
    5. John Creedy & S. Subramanian, 2023. "Exploring A New Class of Inequality Measures and Associated Value Judgements: Gini and Fibonacci-Type Sequences," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 110-131, May.
    6. Pauline Mornet, 2013. "A program for weakly decomposable inequality measures by population subgroups," Economics Bulletin, AccessEcon, vol. 33(3), pages 1738-1750.
    7. Chameni Nembua, C. & Miamo Wendji, C., 2016. "Ordinal equivalence of values, Pigou–Dalton transfers and inequality in TU-games," Games and Economic Behavior, Elsevier, vol. 99(C), pages 117-133.
    8. Stéphane Mussard, 2010. "Pair-Based Decomposable Inequality Measures," Cahiers de recherche 10-27, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    9. Chameni Nembua, Célestin & Demsou, Themoi, 2013. "Ordinal equivalence of values and Pigou-Dalton transfers in TU-games," MPRA Paper 44895, University Library of Munich, Germany, revised 09 Mar 2013.
    10. Rosselló, Jaume & Sansó, Andreu, 2017. "Yearly, monthly and weekly seasonality of tourism demand: A decomposition analysis," Tourism Management, Elsevier, vol. 60(C), pages 379-389.

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