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Poverty Measures as Normalized Distance Functions

Author

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  • Subramanian, S.

    () (Madras Institute of Development Studies)

Abstract

One rather simple and straightforward way of interpreting a poverty measure is in terms of the ratio of the vector distance between, one the one hand, an actual distribution of incomes and an ideal distribution without any poverty, to the vector distance between a distribution representing complete poverty and the no-poverty distribution, on the other. One can derive alternative poverty measures, with alternative sets of properties, for alternative specifications of the relevant distance function. In this paper, two families of poverty measures have been derived, pursuing this ‘distance function interpretation’ of a poverty measure. One family is based on the Minkowski distance functions of order a, and the other family is based on a generalization of the Canberra distance function. The properties of these families of indices are reviewed, and their relationship with poverty measures that have already been advanced in the literature is identified. The paper aims to advance both a useful interpretation and a useful addition to the stock of known poverty measures.

Suggested Citation

  • Subramanian, S., 2009. "Poverty Measures as Normalized Distance Functions," Indian Economic Review, Department of Economics, Delhi School of Economics, vol. 44(2), pages 171-183.
  • Handle: RePEc:dse:indecr:0003
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    Cited by:

    1. Subramanian, Sreenivasan, 2012. "On a Distance Function-Based Inequality Measure in the Spirit of the Bonferroni and Gini Indices," WIDER Working Paper Series 062, World Institute for Development Economic Research (UNU-WIDER).
    2. repec:unu:wpaper:wp2012-62 is not listed on IDEAS

    More about this item

    Keywords

    Distance Functions; Minkowski – a Distance; Canberra Distance; Poverty Measure; Inequality Measure; Axioms for Measurement;

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty

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