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Overlapping component and inequality decomposition: a simulation study for the Gini index

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  • Michele Costa

    (University of Bologna)

Abstract

This paper analyses the effects of overlapping subgroups on inequality decompositions. Within the framework of the Gini inequality index is performed a simulation study which allows to compare and evaluate alternative decompositions with respect to different degrees and situations of overlapping.

Suggested Citation

  • Michele Costa, 2016. "Overlapping component and inequality decomposition: a simulation study for the Gini index," METRON, Springer;Sapienza Università di Roma, vol. 74(2), pages 193-205, August.
    • Handle: RePEc:spr:metron:v:74:y:2016:i:2:d:10.1007_s40300-016-0092-9
    DOI: 10.1007/s40300-016-0092-9
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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. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-531.
    3. Joachim R. Frick & Jan Goebel & Edna Schechtman & Gert G. Wagner & Shlomo Yitzhaki, 2006. "Using Analysis of Gini (ANOGI) for Detecting Whether Two Subsamples Represent the Same Universe," Sociological Methods & Research, , vol. 34(4), pages 427-468, May.
    4. Deutsch, Joseph & Silber, Jacques, 1997. "Gini's "Transvariazione" and the Measurement of Distance between Distributions," Empirical Economics, Springer, vol. 22(4), pages 547-554.
    5. Yitzhaki, Shlomo & Lerman, Robert I, 1991. "Income Stratification and Income Inequality," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 37(3), pages 313-329, September.
    6. Benito Frosini, 2012. "Approximation and decomposition of Gini, Pietra–Ricci and Theil inequality measures," Empirical Economics, Springer, vol. 43(1), pages 175-197, August.
    7. Giovanni Maria Giorgi, 2005. "Gini's scientific work: an evergreen," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 299-315.
    8. Dagum, Camilo, 1987. "Measuring the Economic Affluence between Populations of Income Receivers," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(1), pages 5-12, January.
    9. Frick, Joachim R. & Goebel, Jan & Schechtman, Edna & Wagner, Gert G. & Yitzhaki, Shlomo, 2006. "Using Analysis of Gini (ANOGI) for Detecting Whether Two Subsamples Represent the Same Universe: The German Socio-Economic Panel Study (SOEP) Experience," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 34(4), pages 427-468.
    10. Yitzhaki, Shlomo, 1994. "Economic distance and overlapping of distributions," Journal of Econometrics, Elsevier, vol. 61(1), pages 147-159, March.
    11. Michele Costa, 2009. "Transvariation and inequality between subpopulations in the Dagum’s Gini index decomposition," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 229-241.
    12. Shlomo Yitzhaki & Robert I. Lerman, 1991. "Income Stratification And Income Inequality," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 37(3), pages 313-329, September.
    13. Dagum, Camilo, 1980. "Inequality Measures between Income Distributions with Applications," Econometrica, Econometric Society, vol. 48(7), pages 1791-1803, November.
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    2. Guido Caselli & Michele Costa & Flavio Delbono, 2022. "What do cooperative firms maximize, if at all? Evidence from Emilia‐Romagna in the pre‐Covid decade," Annals of Public and Cooperative Economics, Wiley Blackwell, vol. 93(4), pages 821-847, December.
    3. Jingjing Qu & Aijun Li & Morié Guy-Roland N’Drin, 2023. "Measuring technology inequality across African countries using the concept of efficiency Gini coefficient," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(5), pages 4107-4138, May.
    4. Marco Alfò & Antonio Lijoi & Donata Marasini & Giancarlo Ragozini, 2016. "The statistical legacy of Corrado Gini," METRON, Springer;Sapienza Università di Roma, vol. 74(2), pages 141-143, August.

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