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On the Amato inequality index

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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. I. Josa & A. Aguado, 2020. "Measuring Unidimensional Inequality: Practical Framework for the Choice of an Appropriate Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 149(2), pages 541-570, June.
    2. Yong Bao & Xiaotian Liu & Aman Ullah, 2020. "On the Exact Statistical Distribution of Econometric Estimators and Test Statistics," Working Papers 202014, University of California at Riverside, Department of Economics, revised Jun 2020.
    3. 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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