IDEAS home Printed from https://ideas.repec.org/p/shr/wpaper/06-13.html
   My bibliography  Save this paper

Measuring Significance of Inequalities with Heterogeneous Groups and Income Sources

Author

Listed:
  • Stéphane Mussard

    (GREDI, Université de Sherbrooke and GEREM, Université de Perpignan)

  • Pi Alperin María Noel

    (LAMETA, Université Montpellier I)

Abstract

The aim of this paper is threefold. First, we propose a bidimensional decomposition of the Gini ratio that combines two decomposition techniques of inequality measurement in a bivariate distribution context. Usually decomposed measures of inequality are gauged to be significant or not, using non-stratified bootstrap techniques. Second, we show, with an illustrative example on the Italian survey on household’s income and wealth, that the stratified bootstrap yields less distortion in estimated parameters. Finally, a brief review of the well-known confidence intervals follows.

Suggested Citation

  • Stéphane Mussard & Pi Alperin María Noel, 2006. "Measuring Significance of Inequalities with Heterogeneous Groups and Income Sources," Cahiers de recherche 06-13, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    • Handle: RePEc:shr:wpaper:06-13
    as

    Download full text from publisher

    File URL: http://gredi.recherche.usherbrooke.ca/wpapers/GREDI-0613.pdf
    File Function: First version, 2006
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mills, Jeffrey A & Zandvakili, Sourushe, 1997. "Statistical Inference via Bootstrapping for Measures of Inequality," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(2), pages 133-150, March-Apr.
    2. Martin Biewen & Stephen P. Jenkins, 2006. "Variance Estimation for Generalized Entropy and Atkinson Inequality Indices: the Complex Survey Data Case," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(3), pages 371-383, June.
    3. George Athanasopoulos & Farshid Vahid, 2003. "Statistical Inference and Changes in Income Inequality in Australia," The Economic Record, The Economic Society of Australia, vol. 79(247), pages 412-424, December.
    4. Xu, Kuan, 2000. "Inference for Generalized Gini Indices Using the Iterated-Bootstrap Method," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(2), pages 223-227, April.
    5. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    6. Stephane Mussard, 2004. "The bidimensional decomposition of the Gini ratio. A case study: Italy," Applied Economics Letters, Taylor & Francis Journals, vol. 11(8), pages 503-505.
    7. Cowell, Frank A., 1989. "Sampling variance and decomposable inequality measures," Journal of Econometrics, Elsevier, vol. 42(1), pages 27-41, September.
    8. Biewen, Martin, 2002. "Bootstrap inference for inequality, mobility and poverty measurement," Journal of Econometrics, Elsevier, vol. 108(2), pages 317-342, June.
    9. Cowell, Frank A, 1984. "The Structure of American Income Inequality," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 30(3), pages 351-375, September.
    10. Frank A. Cowell, 1984. "The Structure Of American Income Inequality," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 30(3), pages 351-375, September.
    Full references (including those not matched with items on IDEAS)

    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. William Horrace & Joseph Marchand & Timothy Smeeding, 2008. "Ranking inequality: Applications of multivariate subset selection," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(1), pages 5-32, March.
    2. Sourushe Zandvakili, 2008. "Advances in Inequality Measurement and Usefulness of Statistical Inference," Forum for Social Economics, Taylor & Francis Journals, vol. 37(2), pages 135-145, January.
    3. Judith Clarke & Nilanjana Roy, 2012. "On statistical inference for inequality measures calculated from complex survey data," Empirical Economics, Springer, vol. 43(2), pages 499-524, October.
    4. Sourushe Zandvakili, 2008. "Advances in Inequality Measurement and Usefulness of Statistical Inference," Forum for Social Economics, Springer;The Association for Social Economics, vol. 37(2), pages 135-145, August.
    5. Timothy Patrick Moran, 2006. "Statistical Inference for Measures of Inequality With a Cross-National Bootstrap Application," Sociological Methods & Research, , vol. 34(3), pages 296-333, February.
    6. P. Jenkins, Stephen & A. Cowell, Frank, 2000. "Estimating welfare indices: household weights and sample design," ISER Working Paper Series 2000-23, Institute for Social and Economic Research.
    7. Silvia De Nicol`o & Maria Rosaria Ferrante & Silvia Pacei, 2021. "Mind the Income Gap: Bias Correction of Inequality Estimators in Small-Sized Samples," Papers 2107.08950, arXiv.org, revised May 2023.
    8. Ana Suárez Álvarez & Ana Jesús López Menéndez, 2018. "Assessing Changes Over Time in Inequality of Opportunity: The Case of Spain," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 139(3), pages 989-1014, October.
    9. Stephen P. Jenkins & John Micklewright, 2007. "New Directions in the Analysis of Inequality and Poverty," Discussion Papers of DIW Berlin 700, DIW Berlin, German Institute for Economic Research.
    10. Bönke Timm & Schröder Carsten, 2011. "Poverty in Germany – Statistical Inference and Decomposition," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 231(2), pages 178-209, April.
    11. Ruiz-Castillo, Javier, 1994. "A complete model for welfare analysis," UC3M Working papers. Economics 2907, Universidad Carlos III de Madrid. Departamento de Economía.
    12. Richard H. Steckel & Carolyn M. Moehling, 2000. "Wealth Inequality Trends in Industrializing New England: New Evidence and Tests of Competing Hypotheses," NBER Historical Working Papers 0122, National Bureau of Economic Research, Inc.
    13. James E. Foster & Joel Greer & Erik Thorbecke, 2010. "The Foster-Greer-Thorbecke (FGT) Poverty Measures: Twenty-Five Years Later," Working Papers 2010-14, The George Washington University, Institute for International Economic Policy.
    14. Ruiz-Castillo, Javier, 1994. "The evolution of the standard of living in Spain, 1973-74 to 1980-81," UC3M Working papers. Economics 2909, Universidad Carlos III de Madrid. Departamento de Economía.
    15. Timm Bönke & Carsten Schröder & Katharina Schulte, 2010. "Incomes and Inequality in the Long Run: The Case of German Elderly," German Economic Review, Verein für Socialpolitik, vol. 11(4), pages 487-510, November.
    16. Sreenivasan Subramanian, 2004. "Indicators of Inequality and Poverty," WIDER Working Paper Series RP2004-25, World Institute for Development Economic Research (UNU-WIDER).
    17. Frank Bickenbach & Eckhardt Bode, 2008. "Disproportionality Measures of Concentration, Specialization, and Localization," International Regional Science Review, , vol. 31(4), pages 359-388, October.
    18. Timm Bönke & Carsten Schröder & Katharina Schulte, 2011. "Zur Entwicklung der Einkommensverteilung unter älteren Menschen in Deutschland seit der Wiedervereinigung," Vierteljahrshefte zur Wirtschaftsforschung / Quarterly Journal of Economic Research, DIW Berlin, German Institute for Economic Research, vol. 80(2), pages 81-99.
    19. Carsten Schröder, 2011. "Cowell, F.: Measuring Inequality. London School of Economics Perspectives in Economic Analysis," Journal of Economics, Springer, vol. 104(3), pages 281-285, November.
    20. Juan Ramón García, "undated". "La desigualdad salarial en España. Efectos de un diseño muestral complejo," Working Papers 2003-26, FEDEA.

    More about this item

    Keywords

    Inequalities; Complex surveys; Multi-decomposition; Stratified bootstrap;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution

    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:shr:wpaper:06-13. 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: Jean-François Rouillard (email available below). General contact details of provider: https://edirc.repec.org/data/deushca.html .

    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.