IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-11-00121.html
   My bibliography  Save this article

Two Classes of Generalized Deprivation Indexes

Author

Listed:
  • Paolo Verme

    (The World Bank and Department of Economics, University of Turin)

Abstract

The paper uses two particular formulations of the Gini index to derive two different relative deprivation measures. We then generalize the formulation of these measures following Donaldson and Weymark (1980) and Berrebi and Silber (1985) and show how these generalizations can be considered as two different classes of indexes. An example illustrates how the use of the two classes of indexes can lead to different results in empirical applications.

Suggested Citation

  • Paolo Verme, 2011. "Two Classes of Generalized Deprivation Indexes," Economics Bulletin, AccessEcon, vol. 31(3), pages 2021-2029.
    • Handle: RePEc:ebl:ecbull:eb-11-00121
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2011/Volume31/EB-11-V31-I3-P182.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
    2. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    3. Walter Bossert & Conchita D'Ambrosio & Vito Peragine, 2007. "Deprivation and Social Exclusion," Economica, London School of Economics and Political Science, vol. 74(296), pages 777-803, November.
    4. Ryscavage, Paul & Lamas, Enrique, 1984. "The Relative Deprivation Curve and Its Applications: Comment," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 398-399, October.
    5. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    6. Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, vol. 22(1), pages 67-86, February.
    7. Z. M. Berrebi & Jacques Silber, 1985. "Income Inequality Indices and Deprivation: A Generalization," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(3), pages 807-810.
    8. Nripesh Podder, 1996. "Relative Deprivation, Envy and Economic Inequality," Kyklos, Wiley Blackwell, vol. 49(3), pages 353-376, August.
    9. Shlomo Yitzhaki, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(2), pages 321-324.
    10. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 384-394, October.
    11. repec:bla:kyklos:v:49:y:1996:i:3:p:353-76 is not listed on IDEAS
    12. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    13. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 400-405, October.
    14. Rosen, Sherwin, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 395-397, October.
    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. Bossert, Walter & D’Ambrosio, Conchita, 2014. "Proximity-sensitive individual deprivation measures," Economics Letters, Elsevier, vol. 122(2), pages 125-128.
    2. World Bank, 2014. "Taking Stock, July 2014," World Bank Publications - Reports 19987, The World Bank Group.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Satya Chakravarty, 2007. "A deprivation-based axiomatic characterization of the absolute Bonferroni index of inequality," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 339-351, December.
    2. Patrick Moyes, 2007. "An extended Gini approach to inequality measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 279-303, December.
    3. Satya R. Chakravarty & Amita Majumder & Sonali Roy, 2007. "A Treatment Of Absolute Indices Of Polarization," The Japanese Economic Review, Japanese Economic Association, vol. 58(2), pages 273-293, June.
    4. Alain Chateauneuf & Patrick Moyes, 2005. "Lorenz non-consistent welfare and inequality measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(2), pages 61-87, January.
    5. Satya Chakravarty & Diganta Mukherjee, 1999. "Measures of Deprivation and their Meaning in Terms of Social Satisfaction," Theory and Decision, Springer, vol. 47(1), pages 89-100, August.
    6. Labeaga, José M. & Molina, José Alberto & Navarro Paniagua, Maria, 2007. "Income Satisfaction and Deprivation in Spain," IZA Discussion Papers 2702, Institute of Labor Economics (IZA).
    7. Patrick Moyes & Brice Magdalou, 2008. "Social Welfare, Inequality and Deprivation," LIS Working papers 502, LIS Cross-National Data Center in Luxembourg.
    8. Alain Chateauneuf & Patrick Moyes, 2002. "Measuring inequality without the Pigou-Dalton condition," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00156475, HAL.
    9. Bossert, Walter & D’Ambrosio, Conchita, 2014. "Proximity-sensitive individual deprivation measures," Economics Letters, Elsevier, vol. 122(2), pages 125-128.
    10. Sami Bibi & AbdelRahmen El-Lahga, 2010. "A Unified Framework to Measuring Inequality in The Arab Countries," Working Papers 567, Economic Research Forum, revised 11 Jan 2010.
    11. Walter Bossert & Conchita D'Ambrosio, 2013. "Measuring Economic Insecurity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(3), pages 1017-1030, August.
    12. Silber, Jacques & Verme, Paolo, 2012. "Relative deprivation, reference groups and the assessment of standard of living," Economic Systems, Elsevier, vol. 36(1), pages 31-45.
    13. Elena Bárcena-Martín & Luis Imedio-Olmedo & Guillermina Martín-Reyes, 2007. "Inequality and deprivation within and between groups: An illustration of European union countries," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 323-337, December.
    14. verme Paolo, 2007. "Relative Deprivation in the Labour ‘Space," Department of Economics and Statistics Cognetti de Martiis. Working Papers 200701, University of Turin.
    15. Elena Bárcena-Martin & Jacques Silber, 2013. "On the generalization and decomposition of the Bonferroni index," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 763-787, October.
    16. Paolo Verme, 2010. "Relative labour deprivation and urban migration in Turkey," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(4), pages 391-408, December.
    17. Chakravarty, Satya R. & Sarkar, Palash, 2022. "A synthesis of local and effective tax progressivity measurement," MPRA Paper 115180, University Library of Munich, Germany.
    18. Lidia Ceriani & Chiara Gigliarano, 2015. "An Inter-temporal Relative Deprivation Index," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 124(2), pages 427-443, November.
    19. Chateauneuf, Alain & Gajdos, Thibault & Wilthien, Pierre-Henry, 2002. "The Principle of Strong Diminishing Transfer," Journal of Economic Theory, Elsevier, vol. 103(2), pages 311-333, April.
    20. Walter Bossert & Conchita D’Ambrosio, 2007. "Dynamic Measures of Individual Deprivation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 77-88, January.

    More about this item

    Keywords

    Gini; Relative Deprivations; Indexes;
    All these keywords.

    JEL classification:

    • D6 - Microeconomics - - Welfare Economics
    • I3 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty

    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:ebl:ecbull:eb-11-00121. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: John P. Conley (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.