Some improvement on non-parametric estimation of income distribution and poverty index
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In this paper, we propose an estimator of Foster, Greer and Thorbecke class of measures P(z,α) = ∫_0^z(z-x/z)^αf(x) dx, where z>0 is the poverty line, f is the probabily density function of the income distribution and α is the so-called poverty aversion. The estimator is constructed with a bias reduced kernel estimator. Uniform almost sure consistency and uniform mean square consistenty are established. A simulation study indicates that our new estimator performs well.
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