题目:Robust regression for functional regressors
报告人:Professor Elias Ould Saïd(法国北里尔大学)
【Abstract】In this talk, we discuss about a family of a robust nonparametric estimators for a regression function based on the kernel method when the explanatory r.v . are functional. We first recall some basic definition and we state the almost complete convergence of the estimator under the concentration property on small balls probability measure of the functional explanatory variable when the observations are strong mixing. After, we state the asymptotic normality of the constructed estimator in the two cases, iid and strong mixing. We illustrate our methodology by two examples for real data. Finally we give some open questions.
时间:2013年5月28日(周二)下午16:00开始