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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'Economique de l'École de gestion à l'Université de Sherbrooke.
  • Handle: RePEc:shr:wpaper:06-13
    as

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    File URL: http://gredi.recherche.usherbrooke.ca/wpapers/GREDI-0613.pdf
    File Function: First version, 2006
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    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. 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.
    6. Cowell, Frank A., 1989. "Sampling variance and decomposable inequality measures," Journal of Econometrics, Elsevier, vol. 42(1), pages 27-41, September.
    7. Biewen, Martin, 2002. "Bootstrap inference for inequality, mobility and poverty measurement," Journal of Econometrics, Elsevier, vol. 108(2), pages 317-342, June.
    8. 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.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Inequalities; Complex surveys; Multi-decomposition; Stratified bootstrap;

    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

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