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Jackknife empirical likelihood-based inferences for Lorenz curve with kernel smoothing

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ABSTRACT The Lorenz curve describes the wealth proportion for an income-ordered population. In this paper, we introduce a kernel smoothing estimator for the Lorenz curve and propose a smoothed jackknife… Click to show full abstract

ABSTRACT The Lorenz curve describes the wealth proportion for an income-ordered population. In this paper, we introduce a kernel smoothing estimator for the Lorenz curve and propose a smoothed jackknife empirical likelihood method for constructing confidence intervals of Lorenz ordinates. Extensive simulation studies are conducted to evaluate finite sample performances of the proposed methods. A real dataset of Georgia professor’s income is used to illustrate the proposed methods.

Keywords: jackknife empirical; lorenz curve; empirical likelihood; kernel smoothing; curve

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2019

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