  In this paper, we define a kernel estimator for the tail index of a
Pareto-type distribution under random right-truncation and establish its
asymptotic normality. A simulation study shows that, compared to the estimators
recently proposed by Gardes & Stupfler (2015) and Benchaira et al. (2015), this
newly introduced estimator behaves better, in terms of bias and mean squared
error, for small samples.
