Vahid Fakoor

Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Iran.

[ 1 ] - A Note on the Smooth Estimator of the Quantile Function with Left-Truncated Data

This note focuses on estimating the quantile function based on the kernel smooth estimator under a truncated dependent model. The Bahadurtype representation of the kernel smooth estimator is established, and from the Bahadur representation it can be seen that this estimator is strongly consistent.

[ 2 ] - Strong Convergence Rates of the Product-limit Estimator for Left Truncated and Right Censored Data under Association

Non-parametric estimation of a survival function from left truncated data subject to right censoring has been extensively studied in the literature. It is commonly assumed in such studies that the lifetime variables are a sample of independent and identically distributed random variables from the target population. This assumption is often prone to failure in practical studies. For instance, wh...