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A biproportional measure of multidimensional inequality

Author

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  • Louis de Mesnard

    (LATEC - Laboratoire d'Analyse et de Techniques Economiques [UMR 5118] - UB - Université de Bourgogne - CNRS - Centre National de la Recherche Scientifique)

Abstract

Bradburd and Ross have proposed a measure of multidimensional inequality based on a quadratic-loss criterion: one matrix is compared to another even if they have not the same margins. This is reconsidered. One removes the effect of size variation between the analyzed distribution and the reference distribution by giving to the two matrices the same margins with a biproportional operator. The size differences inside the analyzed structure are removed by a bimarkovian biproportional operator. As homogeneity does not signify equality, the homogeneous reference structure is replaced by a uniform matrix to be compared to the first matrix.

Suggested Citation

  • Louis de Mesnard, 1999. "A biproportional measure of multidimensional inequality," Working Papers hal-01527281, HAL.
  • Handle: RePEc:hal:wpaper:hal-01527281
    Note: View the original document on HAL open archive server: https://hal.science/hal-01527281
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    Keywords

    economics; economic theory; humanities social sciences; sciences humaines et sociales;
    All these keywords.

    JEL classification:

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

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