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A multi-decomposition of Zenga-84 inequality index: an application to the disparity in CO $$_2$$ 2 emissions in European countries

Author

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  • Francesca Battisti

    (Università degli Studi di Milano)

  • Francesco Porro

    (Università degli Studi di Genova)

Abstract

The monitoring of CO $$_2$$ 2 emissions has become a sensitive topic of discussion in the last years. The engagement of the protocol of Kyoto, and the subsequent activities that the different countries have carried out to reduce the CO $$_2$$ 2 emissions, are factors which push the topic into the spotlight. An interesting issue regards how the disparities of such emissions can be analyzed by sources and by subpopulations. In this paper an innovative procedure to jointly decompose the disparity by sources and by subpopulations is proposed. The assessment of the inequality is determined by the Zenga-84 index. This new methodology is applied to the analysis of the per capita CO $$_2$$ 2 emission disparities for European countries, by simultaneously considering their sources (coal, oil, natural gas, and other) and the membership of the country to OECD.Q

Suggested Citation

  • Francesca Battisti & Francesco Porro, 2023. "A multi-decomposition of Zenga-84 inequality index: an application to the disparity in CO $$_2$$ 2 emissions in European countries," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 32(3), pages 957-981, September.
    • Handle: RePEc:spr:stmapp:v:32:y:2023:i:3:d:10.1007_s10260-023-00684-3
    DOI: 10.1007/s10260-023-00684-3
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    References listed on IDEAS

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    1. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
    2. Michele Zenga, 2016. "On the decomposition by subpopulations of the point and synthetic Zenga (2007) inequality indexes," METRON, Springer;Sapienza Università di Roma, vol. 74(3), pages 375-405, December.
    3. Alina Jędrzejczak & Jan Kubacki, 2013. "Estimation of Income Inequality and the Poverty Rate in Poland, by Region and Family Type," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 14(3), pages 359-378, September.
    4. Lucio Bertoli-Barsotti, 2001. "Some remarks on Lorenz ordering-preserving functionals," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 10(1), pages 99-112, January.
    5. Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, vol. 52(6), pages 1369-1385, November.
    6. Ebert, Udo, 2010. "The decomposition of inequality reconsidered: Weakly decomposable measures," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 94-103, September.
    7. Shorrocks, A F, 1982. "Inequality Decomposition by Factor Components," Econometrica, Econometric Society, vol. 50(1), pages 193-211, January.
    8. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-920, July.
    9. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-531.
    10. repec:zbw:hohpro:325 is not listed on IDEAS
    11. Benito Frosini, 2012. "Approximation and decomposition of Gini, Pietra–Ricci and Theil inequality measures," Empirical Economics, Springer, vol. 43(1), pages 175-197, August.
    12. Stephane Mussard, 2004. "The bidimensional decomposition of the Gini ratio. A case study: Italy," Applied Economics Letters, Taylor & Francis Journals, vol. 11(8), pages 503-505.
    13. Barry Arnold, 2015. "On Zenga and Bonferroni curves," METRON, Springer;Sapienza Università di Roma, vol. 73(1), pages 25-30, April.
    14. Mussini, Mauro & Grossi, Luigi, 2015. "Decomposing changes in CO2 emission inequality over time: The roles of re-ranking and changes in per capita CO2 emission disparities," Energy Economics, Elsevier, vol. 49(C), pages 274-281.
    15. Lerman, Robert I. & Yitzhaki, Shlomo, 1984. "A note on the calculation and interpretation of the Gini index," Economics Letters, Elsevier, vol. 15(3-4), pages 363-368.
    16. Francesco Porro & Michele Zenga, 2020. "Decomposition by subpopulations of the Zenga-84 inequality curve and the related index $$\zeta $$ζ: an application to 2014 Bank of Italy survey," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 29(1), pages 187-207, March.
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