Strong consistency of the nonparametric local linear regression estimation under censorship model

We introduce and study a local linear nonparametric regression estimator for censorship model. The main goal of this paper is, to establish the uniform almost sure consistency result with rate over a compact set for the new estimate. To support our theoretical result, a simulation study has been done to make comparison with the classical regression estimator.

Automated summary

In this paper, a local linear nonparametric regression estimator for censorship model is introduced and studied, aiming to establish the uniform almost sure consistency result over a compact set for the new estimate. A simulation study has been conducted to compare the new estimator with the classical regression estimator.