Unrestricted Statistical Inference with Lorenz Curves and Income Shares
This paper considers the problem of statistical inference with estimated Lorenz curves and income shares. The asymptotic distribution of a vector of Lorenz curve ordinates corresponding to a set of cdf abscissa values is shown to be normal with a variance-covariance structure that depends only on condition first and second moments that can be estimated consistently without specification of the population density underlying the sample data.
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