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Statistical Inference for Multidimensional Inequality Indices

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  • R H Abul Naga

    (University of Bath)

Abstract

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

  • R H Abul Naga, 2009. "Statistical Inference for Multidimensional Inequality Indices," Department of Economics Working Papers 2/09, University of Bath, Department of Economics.
    • Handle: RePEc:eid:wpaper:15976
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    References listed on IDEAS

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    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. repec:pru:wpaper:24 is not listed on IDEAS
    6. Frank A. Cowell, 2008. "Income Distribution and Inequality," Chapters, in: John B. Davis & Wilfred Dolfsma (ed.), The Elgar Companion to Social Economics, chapter 13, Edward Elgar Publishing.
    7. 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.
    8. Serge-Christophe Kolm, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 91(1), pages 1-13.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. 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.
    2. Oscar de J. Gálvez-Soriano & Paulina Benitez-Blacio, 2018. "How to Measure the Multidimensional Inequality with Household Surveys: The Mexican Case," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 13(2), pages 175-193, Abril-Jun.
    3. Rolf Aaberge & Andrea Brandolini, 2014. "Multidimensional poverty and inequality," Discussion Papers 792, Statistics Norway, Research Department.

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    More about this item

    Keywords

    large sample distributions; standard errors; multidimensional inequality indices;
    All these keywords.

    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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