Scholarlink

<p>I generalize the ‘fundamental theorem on the inequality measurement’ due to Hardy et al. (Inequalities. Cambridge University Press, London, <CitationRef CitationID="CR24">1952</CitationRef>) to the multidimensional case of populations of variable size, composed of households that differ in several characteristics and are not equally weighted. It is also shown that the use of household weights in such a distributive setting generalizes the use of equivalence scales in inequality analysis. It is finally observed that the main result of the present note can be seen as a multivariate extension of the celebrated Blackwell’s theorem (Blackwell in Ann Math Stat 24(1953):265–272, (<CitationRef CitationID="CR11">1953</CitationRef>)) on the ‘comparison of statistical experiments’.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On weighted multidimensional inequality comparisons of heterogeneous households

  • 期刊论文

  • 发表日期：

    2026年1月24日

查看全文
  • Ernesto Savaglio

摘要

I generalize the ‘fundamental theorem on the inequality measurement’ due to Hardy et al. (Inequalities. Cambridge University Press, London, 1952) to the multidimensional case of populations of variable size, composed of households that differ in several characteristics and are not equally weighted. It is also shown that the use of household weights in such a distributive setting generalizes the use of equivalence scales in inequality analysis. It is finally observed that the main result of the present note can be seen as a multivariate extension of the celebrated Blackwell’s theorem (Blackwell in Ann Math Stat 24(1953):265–272, (1953)) on the ‘comparison of statistical experiments’.