Strong consistency result of a non parametric conditional mode estimator under random censorship for functional regressors |
| |
| Authors: | Khardani Salah Thiam Baba |
| |
| Institution: | 1. Univ. Littoral (ULCO), Lille Nord de France, Lille, Francebaba.thiam@univ-lille3.fr;3. LEM-CNRS (UMR 9221), Université Lille 3, Domaine universitaire de Pont de Bois, Villeneuve d'Ascq Cedex, France |
| |
| Abstract: | AbstractLet (T, C, X) be a vector of random variables (rvs) where T, C, and X are the interest variable, a right censoring rv, and a covariate, respectively. In this paper, we study the kernel conditional mode estimation when the covariate takes values in an infinite dimensional space and is α-mixing. Under some regularity conditions, the almost complete convergence of the estimate with rates is established. |
| |
| Keywords: | Almost complete convergence censored data functional data Kaplan–Meier estimator kernel mode estimator strong mixing condition |
|
|
