Asymptotic properties of a nonparametric regression function estimator with randomly truncated data
Mercredi 02 mars 2005 - 10h30 -
In this talk, we define a new kernel estimator of the regression function under left truncation model. We establish the pointwise and uniform strong consistency over a compact set and give a rate of convergence of the estimate. The asymptotic normality of the estimate is also given. Some simulations are given to show the behavior of the estimate in different cases. The distribution function and the covariable's density are also estimated.