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Statistical Inference for Multidimensional Inequality Indices


  • Abul Naga, Ramses H.


We use the delta method to derive the large sample distribution of mul- tidimensional inequality indices. We also present a simple method for com- puting standard errors and obtain explicit formulas in the context of two families of indices

Suggested Citation

  • Abul Naga, Ramses H., 2009. "Statistical Inference for Multidimensional Inequality Indices," Department of Economics Working Papers 15976, University of Bath, Department of Economics.
  • Handle: RePEc:eid:wpaper:15976

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    References listed on IDEAS

    1. Abul Naga, Ramses H. & Geoffard, Pierre-Yves, 2006. "Decomposition of bivariate inequality indices by attributes," Economics Letters, Elsevier, vol. 90(3), pages 362-367, March.
    2. Thibault Gajdos & John Weymark, 2005. "Multidimensional generalized Gini indices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 471-496, October.
    3. Davidson, Russell & Flachaire, Emmanuel, 2007. "Asymptotic and bootstrap inference for inequality and poverty measures," Journal of Econometrics, Elsevier, vol. 141(1), pages 141-166, November.
    4. Cowell, Frank A. & Flachaire, Emmanuel, 2007. "Income distribution and inequality measurement: The problem of extreme values," Journal of Econometrics, Elsevier, vol. 141(2), pages 1044-1072, December.
    5. Patricia Justino & Julie Litchfield & Yoko Niimi, 2004. "Multidimensional Inequality: An Empirial Application to Brazil," PRUS Working Papers 24, Poverty Research Unit at Sussex, University of Sussex.
    6. Tsui Kai-Yuen, 1995. "Multidimensional Generalizations of the Relative and Absolute Inequality Indices: The Atkinson-Kolm-Sen Approach," Journal of Economic Theory, Elsevier, vol. 67(1), pages 251-265, October.
    7. Serge-Christophe Kolm, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, Oxford University Press, vol. 91(1), pages 1-13.
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    Cited by:

    1. Rolf Aaberge & Andrea Brandolini, 2014. "Multidimensional poverty and inequality," Discussion Papers 792, Statistics Norway, Research Department.
    2. Abul Naga, Ramses H. & Shen, Yajie & Yoo, Hong Il, 2016. "Joint hypothesis tests for multidimensional inequality indices," Economics Letters, Elsevier, vol. 141(C), pages 138-142.

    More about this item


    large sample distributions; standard errors; multidimensional inequality indices;

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation

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