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Lorenz order with common finite support

Author

Listed:
  • Barry C. Arnold

    (University of California)

  • D. V. Gokhale

    (University of California)

Abstract

A special case of the Lorenz order of some interest is that in which the distributions being ranked with respect to inequality share a common finite support set. A characterization of this partial order is provided, together with the identification of operations that we call Robin Hood exchanges which play a parallel role in the finite support setting to that played by Robin Hood (or progressive) transfers in the general Lorenz ordering case. As an example of a setting in which variables with common finite support are compared with regard to inequality, two classical data sets involving social mobility are considered.

Suggested Citation

  • Barry C. Arnold & D. V. Gokhale, 2017. "Lorenz order with common finite support," METRON, Springer;Sapienza Università di Roma, vol. 75(2), pages 215-226, August.
    • Handle: RePEc:spr:metron:v:75:y:2017:i:2:d:10.1007_s40300-016-0101-z
    DOI: 10.1007/s40300-016-0101-z
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    References listed on IDEAS

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    1. Gastwirth, Joseph L, 1972. "The Estimation of the Lorenz Curve and Gini Index," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 306-316, August.
    2. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
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