A Counting Approach for Measuring Multidimensional Deprivation
AbstractThis paper is concerned with the problem of ranking and quantifying the extent of deprivation exhibited by multidimensional distributions, where the multiple attributes in which an individual can be deprived are represented by dichotomized variables. To this end we first aggregate deprivation for each individual into a “deprivation count” indicating the number of dimensions for which the individual suffers from deprivation. Then we compare distributions of deprivation counts through summary measures of deprivation, by drawing on the rank-dependent social evaluation framework (Sen 1974, Yaari 1987). This approach proves to allow decomposition of the summary measures into extent of and dispersion in the distribution of multiple deprivations. To provide a normative justification of the proposed deprivation measures, an intervention principle affecting the association between the different deprivation indicators is adopted. Moreover, we introduce a family of measures of concentration in the distribution of deprivation experienced by the population. Concentration is defined to occur if dispersion in the observed distribution of deprivation is higher than the dispersion attained when the single deprivation indicators are treated as independent random variables, under the constraint of unchanged marginal distributions.
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 University of Verona, Department of Economics in its series Working Papers with number 07/2011.
Date of creation: Jun 2011
Date of revision:
Multidimensional deprivation; counting approach; partial orderings; rank- dependent measures of deprivation; principles of association rearrangements.;
Other versions of this item:
- Aaberge, Rolf & Peluso, Eugenio, 2012. "A Counting Approach for Measuring Multidimensional Deprivation," IZA Discussion Papers 6589, Institute for the Study of Labor (IZA).
- Rolf Aaberge & Eugenio Peluso, 2012. "A counting approach for measuring multidimensional deprivation," Discussion Papers 700, Research Department of Statistics Norway.
- D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-06-25 (All new papers)
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.:
- Rolf Aaberge, 2009.
"Ranking intersecting Lorenz curves,"
Social Choice and Welfare,
Springer, vol. 33(2), pages 235-259, August.
- Rolf Aaberge, 2000. "Ranking Intersecting Lorenz Curves," Discussion Papers 271, Research Department of Statistics Norway.
- Rolf Aaberge, 2000. "Ranking intersectiong Lorenz Curves," ICER Working Papers 08-2000, ICER - International Centre for Economic Research.
- Aaberge, Rolf, 2008. "Ranking Intersecting Lorenz Curves," IZA Discussion Papers 3852, Institute for the Study of Labor (IZA).
- Rolf Aaberge, 2004. "Ranking Intersecting Lorenz Curves," CEIS Research Paper 45, Tor Vergata University, CEIS.
- Decancq, Koen, 2012.
"Elementary multivariate rearrangements and stochastic dominance on a Fréchet class,"
Journal of Economic Theory,
Elsevier, vol. 147(4), pages 1450-1459.
- DECANCQ, Koen, . "Elementary multivariate rearrangements and stochastic dominance on a Fréchet class," CORE Discussion Papers RP -2425, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- M. Lasso de la Vega & Ana Urrutia, 2011. "Characterizing how to aggregate the individuals’ deprivations in a multidimensional framework," Journal of Economic Inequality, Springer, vol. 9(2), pages 183-194, June.
- Rolf Aaberge, 2000. "Characterizations of Lorenz curves and income distributions," Social Choice and Welfare, Springer, vol. 17(4), pages 639-653.
- Atkinson, Tony & Cantillon, Bea & Marlier, Eric & Nolan, Brian, 2002. "Social Indicators: The EU and Social Inclusion," OUP Catalogue, Oxford University Press, number 9780199253494.
- Aaberge, Rolf, 2001. "Axiomatic Characterization of the Gini Coefficient and Lorenz Curve Orderings," Journal of Economic Theory, Elsevier, vol. 101(1), pages 115-132, November.
- Le Breton, Michel & Peluso, Eugenio, 2010. "Smooth inequality measurement: Approximation theorems," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 405-415, July.
- Guio, Anne-Catherine & Fusco, Alessio & Marlier, Eric, 2009. "A European Union Approach to Material Deprivation using EU-SILC and Eurobarometer data," IRISS Working Paper Series 2009-19, IRISS at CEPS/INSTEAD.
- Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
- HILDEBRAND Vincent & PI ALPERIN Maria Noel & VAN KERM Philippe, 2012. "Measuring and accounting for the deprivation gap of Portuguese immigrants in Luxembourg," CEPS/INSTEAD Working Paper Series 2012-33, CEPS/INSTEAD.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Michael Reiter).
If references are entirely missing, you can add them using this form.