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

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:

• Bootstrap
• Confidence interval
• Empirical likelihood
• Jackknife
• Kernel estimator
• Lorenz curve

MATHEMATICS SUBJECT CLASSIFICATION:

• 62G15, 62G20