In this paper, we propose an estimator of Foster, Greer and Thorbecke class of measures P(z,α)=∫0z(zz−x)αf(x)dx
Nearby in the stack
, 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.