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On the Amato inequality index

Author

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  • Arnold, Barry C.

Abstract

Amato (1968) proposed using the length of the Lorenz curve as an index of inequality. The index has been little used, perhaps because of the perceived difficulty in analytically evaluating the value of the index in specific situations. A simple representation of the index as an expectation of a particular convex function is presented here.

Suggested Citation

  • Arnold, Barry C., 2012. "On the Amato inequality index," Statistics & Probability Letters, Elsevier, vol. 82(8), pages 1504-1506.
  • Handle: RePEc:eee:stapro:v:82:y:2012:i:8:p:1504-1506
    DOI: 10.1016/j.spl.2012.04.020
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    References listed on IDEAS

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    1. 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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    Cited by:

    1. Sarabia, José María & Jordá, Vanesa, 2014. "Explicit expressions of the Pietra index for the generalized function for the size distribution of income," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 582-595.

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