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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 Department of Economics ces09.24, KU Leuven, Faculty of Economics and Business, Department of Economics.
  • Handle: RePEc:ete:ceswps:ces09.24
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    1. 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.
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    Cited by:

    1. repec:bla:econom:v:84:y:2017:i:334:p:210-238 is not listed on IDEAS
    2. Koen Decancq & María Ana Lugo, 2009. "Measuring inequality of well-being with a correlation-sensitive multidimensional Gini index," Working Papers 124, ECINEQ, Society for the Study of Economic Inequality.
    3. Koen Decancq, 2017. "Measuring Multidimensional Inequality in the OECD Member Countries with a Distribution-Sensitive Better Life Index," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 131(3), pages 1057-1086, April.
    4. repec:kap:jecinq:v:16:y:2018:i:2:d:10.1007_s10888-018-9386-x is not listed on IDEAS
    5. Rolf Aaberge & Anthony B. Atkinson & Sebastian Königs, 2018. "From classes to copulas: wages, capital, and top incomes," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 16(2), pages 295-320, June.
    6. Koen Decancq & Erik Schokkaert, 2016. "Beyond GDP: Using Equivalent Incomes to Measure Well-Being in Europe," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 126(1), pages 21-55, March.
    7. Suman Seth, 2013. "A class of distribution and association sensitive multidimensional welfare indices," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 11(2), pages 133-162, June.
    8. Koen DECANCQ & Marc FLEURBAEY & Erik SCHOKKAERT, 2017. "Wellbeing inequality and preference heterogeneity," CORE Discussion Papers RP 2839, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Martyna Kobus & Radoslaw Kurek, 2017. "Copula-based measurement of interdependence for discrete distributions," Working Papers 431, ECINEQ, Society for the Study of Economic Inequality.
    10. Koen Decancq & Marc Fleurbaey & Erik Schokkaert, 2017. "Wellbeing Inequality and Preference Heterogeneity," Economica, London School of Economics and Political Science, vol. 84(334), pages 210-238, April.

    More about this item

    Keywords

    copula; complex inequality; concordance; HDI; multidimensional inequality; Russia; well-being.;

    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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