IDEAS home Printed from https://ideas.repec.org/p/ver/wpaper/07-2011.html
   My bibliography  Save this paper

A Counting Approach for Measuring Multidimensional Deprivation

Author

Listed:
  • Rolf Aaberge

    () (Statistics Norway)

  • Eugenio Peluso

    () (Department of Economics (University of Verona))

Abstract

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” 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.

Suggested Citation

  • Rolf Aaberge & Eugenio Peluso, 2011. "A Counting Approach for Measuring Multidimensional Deprivation," Working Papers 07/2011, University of Verona, Department of Economics.
  • Handle: RePEc:ver:wpaper:07/2011
    as

    Download full text from publisher

    File URL: http://dse.univr.it//workingpapers/MultDep_June2011.pdf
    File Function: First version
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Decancq, Koen, 2012. "Elementary multivariate rearrangements and stochastic dominance on a Fréchet class," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1450-1459.
    6. Le Breton, Michel & Peluso, Eugenio, 2010. "Smooth inequality measurement: Approximation theorems," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 405-415, July.
    7. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    8. 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.
    9. 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.
    10. 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.
    11. Atkinson, Tony & Cantillon, Bea & Marlier, Eric & Nolan, Brian, 2002. "Social Indicators: The EU and Social Inclusion," OUP Catalogue, Oxford University Press, number 9780199253494.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Berenger, Valerie, 2016. "Measuring Multidimensional Poverty in Three Southeast Asian Countries using Ordinal Variables," ADBI Working Papers 618, Asian Development Bank Institute.
    2. Suman Seth and Sabina Alkire, 2014. "Did Poverty Reduction Reach the Poorest of the Poor? Assessment Methods in the Counting Approach," OPHI Working Papers ophiwp077, Queen Elizabeth House, University of Oxford.
    3. Rolf Aaberge & Andrea Brandolini, 2014. "Multidimensional poverty and inequality," Discussion Papers 792, Statistics Norway, Research Department.
    4. Vincent A. Hildebrand & María Noel Pi Alperin & Philippe Van Kerm, 2017. "Measuring and Accounting for the Deprivation Gap of Portuguese Immigrants in Luxembourg," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 63(2), pages 288-309, June.
    5. Danilo Cavapozzi & Wei Han & Raffaele Miniaci, 2015. "Alternative weighting structures for multidimensional poverty assessment," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 13(3), pages 425-447, September.
    6. repec:spr:soinre:v:133:y:2017:i:1:d:10.1007_s11205-016-1365-7 is not listed on IDEAS
    7. Valérie Bérenger, 2014. "Using Ordinal Variables to Measure Multidimensional Poverty in Two South Mediterranean Countries," GREDEG Working Papers 2014-49, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), University of Nice Sophia Antipolis.
    8. Ive Marx & Brian Nolan & Javier Olivera, 2014. "The Welfare State and Anti-Poverty Policy in Rich Countries," Working Papers 1403, Herman Deleeck Centre for Social Policy, University of Antwerp.
    9. repec:kap:jecinq:v:15:y:2017:i:2:d:10.1007_s10888-017-9349-7 is not listed on IDEAS
    10. Rolf Aaberge & Andrea Brandolini, 2014. "Social evaluation of deprivation count distributions," Working Papers 342, ECINEQ, Society for the Study of Economic Inequality.
    11. Ida Petrillo, 2017. "Ranking income distributions: a rank-dependent and needs-based approach," SERIES 03-2017, Dipartimento di Economia e Finanza - Università degli Studi di Bari "Aldo Moro", revised Jul 2017.
    12. Valérie Bérenger, 2017. "The counting approach to multidimensional poverty: The case of four African countries," WIDER Working Paper Series 210, World Institute for Development Economic Research (UNU-WIDER).
    13. Bérenger, Valérie & Deutsch, Joseph & Silber, Jacques, 2013. "Durable goods, access to services and the derivation of an asset index: Comparing two methodologies and three countries," Economic Modelling, Elsevier, vol. 35(C), pages 881-891.

    More about this item

    Keywords

    Multidimensional deprivation; counting approach; partial orderings; rank- dependent measures of deprivation; principles of association rearrangements.;

    JEL classification:

    • 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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ver:wpaper:07/2011. 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: (Michael Reiter). General contact details of provider: http://edirc.repec.org/data/isverit.html .

    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 CitEc recognized a reference but did not link an item in RePEc 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 RePEc Author Service 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.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.