On the Amato inequality index

Barry C. Arnold

Statistics & Probability Letters, 2012, vol. 82, issue 8, 1504-1506

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.

Keywords: Lorenz curve; Convex function; Curve length; Discrete approximation (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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DOI: 10.1016/j.spl.2012.04.020

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