题目：On the Nonparametric Estimation of the Functional $\psi|-regression for a Random Left-truncation Model
报告人：Professor Elias Ould Saïd (法国滨海大学)
【Abstract】In this paper we study a family of nonparametric estimators for the $\psi|-regression model when the response variable is subject to left-truncation by another random variable. Under standard assumptions, we get an almost complete convergence rate as well as asymptotic normality of a robust nonparametric estimator for truncated and functional regressors. This permits to get confidence intervals that is usable in practice since they do not depend on any unknown quantity. Some special cases are studied to show how our work can be viewed as an extension of former results. Our results are conforted by simulations study for consistency as well as for probability coverage of a confidence intervals.
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