Copula-based measurement of dependence between dimensions of well-being
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).
|Date of creation:||Dec 2009|
|Contact details of provider:|| Web page: http://feb.kuleuven.be/Economics/|
References listed on IDEAS
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.:
- 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.
- 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.
- Marco Scarsini & Antonio Colangelo & Moshe Shaked, 2006.
"Some positive dependence stochastic orders,"
- 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.
- Moulin, H & Thomson, W, 1995. "Axiomatic Analysis of Resource Allocation," RCER Working Papers 400, University of Rochester - Center for Economic Research (RCER).
- 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.
- Cebrián, Ana C. & Denuit, Michel & Scaillet, Olivier, 2004.
"Testing for Concordance Ordering,"
ASTIN Bulletin: The Journal of the International Actuarial Association,
Cambridge University Press, vol. 34(01), pages 151-173, May.
- 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.
- A. B. Atkinson & F. Bourguignon, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Oxford University Press, vol. 49(2), pages 183-201.
- Joe, Harry, 1990. "Multivariate concordance," Journal of Multivariate Analysis, Elsevier, vol. 35(1), pages 12-30, October.
- 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.
- 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.
- 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.
- 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.
- Koen DECANCQ, 2010.
"Copula-based orderings of multivariate dependence,"
Working Papers Department of Economics
ces10.08, KU Leuven, Faculty of Economics and Business, Department of Economics.
- 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.
When requesting a correction, please mention this item's handle: RePEc:ete:ceswps:ces09.24. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (library EBIB)
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.