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Measuring Significance of Inequalities with Heterogeneous Groups and Income Sources

  • Stéphane Mussard


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

  • Pi Alperin María Noel


    (LAMETA, Université Montpellier I)

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.

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Paper provided by Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke in its series Cahiers de recherche with number 06-13.

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Length: 17 pages
Date of creation: 2006
Date of revision:
Handle: RePEc:shr:wpaper:06-13
Contact details of provider: Postal: Sherbrooke, Québec, J1K 2R1
Phone: (819) 821-7233
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  1. Jeffrey A. Mills & Sourushe Zandvakili, 1999. "Statistical Inference via Bootstrapping for Measures of Inequality," Macroeconomics 9902003, EconWPA.
  2. George Athanasopoulos & Farshid Vahid, 2002. "Statistical Inference on Changes in Income Inequality in Australia," Monash Econometrics and Business Statistics Working Papers 9/02, Monash University, Department of Econometrics and Business Statistics.
  3. 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.
  4. Martin Biewen, 2006. "Variance estimation for generalized entropy and Atkinson inequality indices: The complex survey data case," German Stata Users' Group Meetings 2006 04, Stata Users Group.
  5. Cowell, Frank A., 1989. "Sampling variance and decomposable inequality measures," Journal of Econometrics, Elsevier, vol. 42(1), pages 27-41, September.
  6. 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 351-75, 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. 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 223-27, April.
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