A Counting Approach for Measuring Multidimensional Deprivation
This 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", representing the number of dimensions for which the individual suffers from deprivation. Next, by drawing on the rank-dependent social evaluation framework that originates from Sen (1974) and Yaari (1988) the individual deprivation counts are aggregated into summary measures of deprivation, which prove to admit decomposition into the mean and the dispersion of the distribution of multiple deprivations. Moreover, second-degree upward and downward count distribution dominance are shown to be useful criteria for dividing the measures of deprivation into two separate subfamilies. To provide a normative justification of the dominance criteria we introduce alternative principles of association (correlation) rearrangements, where either the marginal deprivation distributions or the mean deprivation are assumed to be kept fixed.
|Date of creation:||May 2012|
|Contact details of provider:|| Postal: IZA, P.O. Box 7240, D-53072 Bonn, Germany|
Phone: +49 228 3894 223
Fax: +49 228 3894 180
Web page: http://www.iza.org
|Order Information:|| Postal: IZA, Margard Ody, P.O. Box 7240, D-53072 Bonn, Germany|
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.:
- Walter Bossert & Satya Chakravarty & Conchita D’Ambrosio, 2012.
"Poverty and time,"
The Journal of Economic Inequality,
Springer;Society for the Study of Economic Inequality, vol. 10(2), pages 145-162, June.
- BOSSERT, Walter & CHAKRAVARTY, Satya R. & D’AMBROSIO, Conchita, 2008. "Poverty and Time," Cahiers de recherche 05-2008, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Bossert, Walter & Chakravarty, Satya R. & d’Ambrosio, Conchita, 2010. "Poverty and Time," WIDER Working Paper Series 074, World Institute for Development Economic Research (UNU-WIDER).
- BOSSERT, Walter & CHAKRAVARTY, Satya R. & D’AMBROSIO, Conchita, 2008. "Poverty and Time," Cahiers de recherche 2008-05, Universite de Montreal, Departement de sciences economiques.
- Walter Bossert & Satya R. Chakravarty & Conchita D’Ambrosio, 2008. "Poverty and Time," Working Papers 87, ECINEQ, Society for the Study of Economic Inequality.
- Rolf Aaberge, 2009. "Ranking intersecting Lorenz curves," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 235-259, August.
- Rolf Aaberge, 2000. "Ranking Intersecting Lorenz Curves," Discussion Papers 271, Statistics Norway, Research Department.
- Rolf Aaberge, 2004. "Ranking Intersecting Lorenz Curves," CEIS Research Paper 45, Tor Vergata University, CEIS.
- 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).
- 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.
- 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.
- Atkinson, Tony & Cantillon, Bea & Marlier, Eric & Nolan, Brian, 2002. "Social Indicators: The EU and Social Inclusion," OUP Catalogue, Oxford University Press, number 9780199253494.
- François Bourguignon & Satya Chakravarty, 2003. "The Measurement of Multidimensional Poverty," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(1), pages 25-49, April.
- Bourguignon, F. & Chakravarty, S.R., 1998. "The Measurement of Multidimensional Poverty," DELTA Working Papers 98-12, DELTA (Ecole normale supérieure).
- M. Lasso de la Vega & Ana Urrutia, 2011. "Characterizing how to aggregate the individuals’ deprivations in a multidimensional framework," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(2), pages 183-194, June.
- 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, "undated". "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).
- Le Breton, Michel & Peluso, Eugenio, 2010. "Smooth inequality measurement: Approximation theorems," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 405-415, July.
- Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
- Rolf Aaberge, 2000. "Characterizations of Lorenz curves and income distributions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 639-653. Full references (including those not matched with items on IDEAS)