Copula-based measurement of dependence between dimensions of well-being
AbstractWell-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).
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Katholieke Universiteit Leuven, Centrum voor Economische Studiën in its series Center for Economic Studies - Discussion papers with number ces09.24.
Date of creation: Dec 2009
Date of revision:
copula; complex inequality; concordance; HDI; multidimensional inequality; Russia; well-being.;
Other versions of this item:
- Decancq K, 2009. "Copula-based Measurement of Dependence Between Dimensions of Well-being," Health, Econometrics and Data Group (HEDG) Working Papers 09/32, HEDG, c/o Department of Economics, University of York.
- 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, Technological Change, and Growth - - Economywide Country Studies - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-04-17 (All new papers)
- NEP-CIS-2010-04-17 (Confederation of Independent States)
- NEP-HAP-2010-04-17 (Economics of Happiness)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- M. Taylor, 2007. "Multivariate measures of concordance," Annals of the Institute of Statistical Mathematics, Springer, vol. 59(4), pages 789-806, December.
- Joe, Harry, 1990. "Multivariate concordance," Journal of Multivariate Analysis, Elsevier, vol. 35(1), pages 12-30, October.
- 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.
- Indranil Dutta & Prasanta K. Pattanaik & Yongsheng Xu, 2003. "On Measuring Deprivation and the Standard of Living in a Multidimensional Framework on the Basis of Aggregate Data," Economica, London School of Economics and Political Science, vol. 70(278), pages 197-221, 05.
- Colangelo, Antonio & Scarsini, Marco & Shaked, Moshe, 2006. "Some positive dependence stochastic orders," Journal of Multivariate Analysis, Elsevier, vol. 97(1), pages 46-78, January.
- DECANCQ, Koen, 2010.
"Copula-based orderings of multivariate dependence,"
CORE Discussion Papers
2010012, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Valentino Dardanoni & Peter Lambert, 2001.
"Horizontal inequity comparisons,"
Social Choice and Welfare,
Springer, vol. 18(4), pages 799-816.
- 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.
- 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.
- 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.
- 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.
- Atkinson, Anthony B & Bourguignon, Francois, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 183-201, April.
- M. Fleurbaey & A. Trannoy, 2000.
"The Impossibility of a Paretian Egalitarian,"
THEMA Working Papers
2000-26, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Galina Besstremyannaya, 2007. "Out-of-Pocket Health Care Expenditures by Russian Consumers with Different Health Status," Transition Studies Review, Springer, vol. 14(2), pages 331-338, November.
- Maria Ana Lugo & Koen Decancq, 2009.
"Measuring Inequality of Well-Being with a Correlation-Sensitive Multidimensional Gini Index,"
Economics Series Working Papers
459, University of Oxford, Department of Economics.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Karla Vander Weyden).
If references are entirely missing, you can add them using this form.