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Estimation and Inference for Normative Inequality Indices


  • Rongve, Ian
  • Beach, Charles


This paper addresses the sampling distribution of two general classes of normative income inequality indices. For approximations to the Atkinson-Kolm-Sen index of relative inequality and the Kolm-Blackorby-Donaldson index of absolute inequality, the paper provides consistent estimators and establishes their asymptotic normality. Asymptotic variance-covariance expressions are obtained that provide for distribution-free statistical inference on these measures in a straightforward fashion. The paper thus extends the principles of statistical inference to current classes of normative inequality measures and to Atkinson's equally distributed income measure. Copyright 1997 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

Suggested Citation

  • Rongve, Ian & Beach, Charles, 1997. "Estimation and Inference for Normative Inequality Indices," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 83-96, February.
  • Handle: RePEc:ier:iecrev:v:38:y:1997:i:1:p:83-96

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    References listed on IDEAS

    1. Horstmann, Ignatius J & Markusen, James R, 1987. "Strategic Investments and the Development of Multinationals," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(1), pages 109-121, February.
    2. Motta, Massimo, 1992. "Multinational firms and the tariff-jumping argument : A game theoretic analysis with some unconventional conclusions," European Economic Review, Elsevier, vol. 36(8), pages 1557-1571, December.
    3. Smith, Alasdair, 1987. "Strategic investment, multinational corporations and trade policy," European Economic Review, Elsevier, vol. 31(1-2), pages 89-96.
    4. V.N. Balasubramanyam & David Greenaway, 1992. "Economic Integration and Foreign Direct Investment: Japanese Investment in the EC," Journal of Common Market Studies, Wiley Blackwell, vol. 30(2), pages 175-194, June.
    5. Rowthorn, R E, 1992. "Intra-industry Trade and Investment under Oligopoly: The Role of Market Size," Economic Journal, Royal Economic Society, vol. 102(411), pages 402-414, March.
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    Cited by:

    1. Stephen G. Donald & Yu‐Chin Hsu & Garry F. Barrett, 2012. "Incorporating covariates in the measurement of welfare and inequality: methods and applications," Econometrics Journal, Royal Economic Society, vol. 15(1), pages 1-30, February.

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