Abul Naga, R. H. & Stapenhurst, C. (2015). Estimation of inequality indices of the cumulative distribution function. Economics Letters, 130, 109–112.

ABSTRACT

Inequality indices for self-assessed health and life satisfaction are typically constructed as functions of the cumulative distribution function. We present a unified methodology for the estimation of the resulting inequality indices. We also obtain explicit standard error formulas in the context of two popular families of inequality indices that have emerged from this literature.
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