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Copula-based measurement of dependence between dimensions of well-being

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  • Koen DECANCQ

Abstract

Well-being consists of many dimensions such as income, health and education. A society exhibits greater dependence between its dimensions of well-being when the positions of the individuals in the different dimensions are more aligned or correlated. Differences in dependence may lead to very different societies, even when the dimension-wise distributions are identical. I propose to use a copula-based framework to order societies with respect to their dependence. A class of measures of dependence is derived to which the multidimensional rank correlation coefficient belongs. I illustrate the usefulness of the approach by showing that Russian dependence between three dimensions of well-being has increased significantly between 1995 and 2003. Unfortunately, the aspect of dependence is missed by all composite well-being measures based on dimension-specific summary statistics such as the popular Human Development Index (HDI).

Suggested Citation

  • Koen DECANCQ, 2009. "Copula-based measurement of dependence between dimensions of well-being," Working Papers of Department of Economics, Leuven ces09.24, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    • Handle: RePEc:ete:ceswps:ces09.24
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    1. Inna Blam & Sergey Kovalev, 2006. "Spontaneous commercialisation, inequality and the contradictions of compulsory medical insurance in transitional Russia," Journal of International Development, John Wiley & Sons, Ltd., vol. 18(3), pages 407-423.
    2. Schmid, Friedrich & Schmidt, Rafael, 2007. "Multivariate conditional versions of Spearman's rho and related measures of tail dependence," Journal of Multivariate Analysis, Elsevier, vol. 98(6), pages 1123-1140, July.
    3. Stéphane Bonhomme & Jean-Marc Robin, 2006. "Modeling Individual Earnings Trajectories Using Copulas: France, 1990-2002," Post-Print hal-03587648, HAL.
    4. Michael Lokshin & Martin Ravallion, 2008. "Testing for an economic gradient in health status using subjective data," Health Economics, John Wiley & Sons, Ltd., vol. 17(11), pages 1237-1259.
    5. Cebrián, Ana C. & Denuit, Michel & Scaillet, Olivier, 2004. "Testing for Concordance Ordering," ASTIN Bulletin, Cambridge University Press, vol. 34(1), pages 151-173, May.
    6. A. B. Atkinson & F. Bourguignon, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(2), pages 183-201.
    7. Joe, Harry, 1990. "Multivariate concordance," Journal of Multivariate Analysis, Elsevier, vol. 35(1), pages 12-30, October.
    8. Galina Besstremyannaya, 2007. "Out-of-Pocket Health Care Expenditures by Russian Consumers with Different Health Status," Transition Studies Review, Springer;Central Eastern European University Network (CEEUN), vol. 14(2), pages 331-338, November.
    9. Marco Scarsini, 1984. "On measures of concordance," Post-Print hal-00542380, HAL.
    10. M. Taylor, 2007. "Multivariate measures of concordance," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 59(4), pages 789-806, December.
    11. Koen DECANCQ, 2010. "Copula-based orderings of multivariate dependence," Working Papers of Department of Economics, Leuven ces10.08, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    12. Marc Fleurbaey & Alain Trannoy, 2003. "The impossibility of a Paretian egalitarian," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 243-263, October.
    13. Colangelo, Antonio & Scarsini, Marco & Shaked, Moshe, 2006. "Some positive dependence stochastic orders," Journal of Multivariate Analysis, Elsevier, vol. 97(1), pages 46-78, January.
    14. Stephane Bonhomme & Jean-Marc Robin, 2006. "Modeling Individual Earnings Trajectories Using Copulas: France, 1990–2002," Contributions to Economic Analysis, in: Structural Models of Wage and Employment Dynamics, pages 441-478, Emerald Group Publishing Limited.
    15. Moulin, H & Thomson, W, 1995. "Axiomatic Analysis of Resource Allocation," RCER Working Papers 400, University of Rochester - Center for Economic Research (RCER).
    16. Valentino Dardanoni & Peter Lambert, 2001. "Horizontal inequity comparisons," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 799-816.
    17. Doorslaer, Eddy van & Jones, Andrew M., 2003. "Inequalities in self-reported health: validation of a new approach to measurement," Journal of Health Economics, Elsevier, vol. 22(1), pages 61-87, January.
    18. Larry G. Epstein & Stephen M. Tanny, 1980. "Increasing Generalized Correlation: A Definition and Some Economic Consequences," Canadian Journal of Economics, Canadian Economics Association, vol. 13(1), pages 16-34, February.
    19. Henning Bunzel & Bent J. Christensen & Georges R. Neumann & Jean-Marc Robin, 2006. "Structural Models of Wage and Employment Dynamics," Post-Print hal-00308804, HAL.
    20. repec:bla:econom:v:70:y:2003:i:278:p:197-221 is not listed on IDEAS
    21. Denuit, Michel & Lambert, Philippe, 2005. "Constraints on concordance measures in bivariate discrete data," Journal of Multivariate Analysis, Elsevier, vol. 93(1), pages 40-57, March.
    22. Michael Lokshin & Martin Ravallion, 2008. "Testing for an economic gradient in health status using subjective data," Health Economics, John Wiley & Sons, Ltd., vol. 17(11), pages 1237-1259, November.
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    More about this item

    Keywords

    copula; complex inequality; concordance; HDI; multidimensional inequality; Russia; well-being.;
    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
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being
    • O50 - Economic Development, Innovation, Technological Change, and Growth - - Economywide Country Studies - - - General

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