1. L.M.P.A. J. Liouville, Univ. du Littoral C?te d’Opale, 699, 62228, BP, Calais, France 2. Lab. Biomaths-EA 3614, Univ. de Lille 2, Fac. Pharm., 3, rue Pr. Laguesse, 59006, Lille, France
Abstract:
In this paper, we define a new kernel estimator of the regression function under a 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 pointwise
asymptotic normality of the estimate is also given. Some simulations are given to show the asymptotic behavior of the estimate
in different cases. The distribution function and the covariable’s density are also estimated.