IDEAS home Printed from https://ideas.repec.org/p/war/wpaper/2010-07.html
   My bibliography  Save this paper

Decomposition of Bivariate Inequality Indices by Attributes Revisited

Author

Listed:
  • Martyna Kobus

    (Faculty of Economic Sciences, University of Warsaw)

Abstract

Decomposability of multidimensional inequality indices by attributes is considered a highly desired property. Naga and Geoffard (2006) provided for it in case of three bivariate indices. To this end, they introduced the notion of a copula function into inequality measurement theory which, as a measure of association, is a natural concept for the study of decomposability. We show that the decomposition obtained is unrelated to copulas, and prove that two indices do not admit decomposition if association is indeed measured via copula. Most notably, the proof reveals a necessary property of indices decomposable via copulas which is similar to well-known separability property.

Suggested Citation

  • Martyna Kobus, 2010. "Decomposition of Bivariate Inequality Indices by Attributes Revisited," Working Papers 2010-07, Faculty of Economic Sciences, University of Warsaw.
    • Handle: RePEc:war:wpaper:2010-07
    as

    Download full text from publisher

    File URL: http://www.wne.uw.edu.pl/inf/wyd/WP/WNE_WP30.pdf
    File Function: First version, 2010
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Abul Naga, Ramses H. & Geoffard, Pierre-Yves, 2006. "Decomposition of bivariate inequality indices by attributes," Economics Letters, Elsevier, vol. 90(3), pages 362-367, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fleurbaey, Marc & Schokkaert, Erik, 2009. "Unfair inequalities in health and health care," Journal of Health Economics, Elsevier, vol. 28(1), pages 73-90, January.
    2. repec:eid:wpaper:2/09 is not listed on IDEAS
    3. Guido Erreygers & Roselinde Kessels, 2017. "Socioeconomic Status and Health: A New Approach to the Measurement of Bivariate Inequality," IJERPH, MDPI, vol. 14(7), pages 1-23, June.
    4. Guido Erreygers & Roselinde Kessels & Linkun Chen & Philip Clarke, 2016. "Decomposing Socioeconomic Inequality of Health," EcoMod2016 9574, EcoMod.
    5. Bénédicte H. Apouey & Jacques Silber, 2016. "Performance and Inequality in Health: A Comparison of Child and Maternal Health across Asia," Research on Economic Inequality, in: Inequality after the 20th Century: Papers from the Sixth ECINEQ Meeting, volume 24, pages 181-214, Emerald Group Publishing Limited.
    6. Guido Erreygers & Philip Clarke & Qiong Zheng, 2017. "On the measurement of socioeconomic inequality of health between countries," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 15(2), pages 175-193, June.
    7. Roselinde Kessels & Guido Erreygers, 2019. "A direct regression approach to decomposing socioeconomic inequality of health," Health Economics, John Wiley & Sons, Ltd., vol. 28(7), pages 884-905, July.
    8. Kobus, Martyna, 2012. "Attribute decomposition of multidimensional inequality indices," Economics Letters, Elsevier, vol. 117(1), pages 189-191.
    9. Zhong, Hai, 2009. "A multivariate analysis of the distribution of individual's welfare in China: What is the role of health?," Journal of Health Economics, Elsevier, vol. 28(6), pages 1062-1070, December.
    10. Alessandra Michelangeli & Eugenio Peluso, 2016. "Cities and Inequality," REGION, European Regional Science Association, vol. 3, pages 47-60.
    11. Xu, Aiting & Qiu, Keyang & Zhu, Yuhan, 2023. "The measurements and decomposition of innovation inequality: Based on Industry − University − Research perspective," Journal of Business Research, Elsevier, vol. 157(C).
    12. Rolf Aaberge & Andrea Brandolini, 2014. "Multidimensional poverty and inequality," Temi di discussione (Economic working papers) 976, Bank of Italy, Economic Research and International Relations Area.
    13. Iryna Kyzyma & Alessio Fusco & Philippe Van Kerm, 2022. "Distributional Change: Assessing the Contribution of Household Income Sources," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 84(1), pages 158-184, February.
    14. Elisa Pagani, 2015. "Certainty Equivalent: Many Meanings of a Mean," Working Papers 24/2015, University of Verona, Department of Economics.
    15. Kobus, Martyna & Kurek, Radosław, 2018. "Copula-based measurement of interdependence for discrete distributions," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 27-39.
    16. Bénédicte H. Apouey, 2010. "On Measuring And Explaining Socioeconomic Polarization In Health With An Application To French Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(1), pages 141-170, March.
    17. Guido Erreygers & Roselinde Kessels, 2013. "Regression-Based Decompositions of Rank-Dependent Indicators of Socioeconomic Inequality of Health," Research on Economic Inequality, in: Health and Inequality, volume 21, pages 227-259, Emerald Group Publishing Limited.
    18. Martyna Kobus, 2014. "Multidimensional polarization for ordinal data," Working Papers 326, ECINEQ, Society for the Study of Economic Inequality.
    19. Brambilla, Marco Giovanni & Peluso, Eugenio, 2010. "A remark on "Decomposition of bivariate inequality indices by attributes" by Abul Naga and Geoffard, Economics Letters 90 (2006), pp. 362-367," Economics Letters, Elsevier, vol. 108(1), pages 100-100, July.
    20. Martyna Kobus & Radoslaw Kurek, 2017. "Copula-based measurement of interdependence for discrete distributions," Working Papers 431, ECINEQ, Society for the Study of Economic Inequality.
    21. Bleichrodt, Han & Rohde, Kirsten I.M. & Van Ourti, Tom, 2012. "An experimental test of the concentration index," Journal of Health Economics, Elsevier, vol. 31(1), pages 86-98.

    More about this item

    Keywords

    multidimensional inequality; decomposition by attributes; copula function;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:war:wpaper:2010-07. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Marcin Bąba (email available below). General contact details of provider: https://edirc.repec.org/data/fesuwpl.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.