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Measuring Significance of Inequalities with Heterogeneous Groups and Income Sources

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Author Info
Stéphane Mussard () (GREDI, Université de Sherbrooke and GEREM, Université de Perpignan)
Pi Alperin María Noel () (LAMETA, Université Montpellier I)

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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.

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File URL: http://pages.usherbrooke.ca/gredi/wpapers/GREDI-0613.pdf
File Format: application/pdf
File Function: First version, 2006
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Publisher Info
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

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Postal: Sherbrooke, Qu�bec, J1K 2R1
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Web page: http://www.usherbrooke.ca/adm/faculte/departements/economique/recherche/cahier_rech.html
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Related research
Keywords: Inequalities Complex surveys Multi-decomposition Stratified bootstrap

Find related papers by JEL classification:
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution

This paper has been announced in the following NEP Reports:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Biewen, Martin, 2002. "Bootstrap inference for inequality, mobility and poverty measurement," Journal of Econometrics, Elsevier, vol. 108(2), pages 317-342, June. [Downloadable!] (restricted)
  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, 06. [Downloadable!] (restricted)
    Other versions:
  3. Cowell, Frank A, 1984. "The Structure of American Income Inequality," Review of Income and Wealth, Blackwell Publishing, vol. 30(3), pages 351-75, September.
  4. 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 133-50, March-Apr. [Downloadable!]
  5. 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. [Downloadable!]
    Other versions:
  6. Stéphane Mussard, 2004. "The bidimensional decomposition of the Gini ratio. A case study: Italy," Applied Economics Letters, Taylor and Francis Journals, vol. 11(8), pages 503-505, June. [Downloadable!] (restricted)
  7. Cowell, Frank A., 1989. "Sampling variance and decomposable inequality measures," Journal of Econometrics, Elsevier, vol. 42(1), pages 27-41, September. [Downloadable!] (restricted)
  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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This page was last updated on 2008-10-2.


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