Asymptotic normality of a robust kernel estimator of the regression function for functional ergodic data: Case of an unknown scale parameter期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Asymptotic normality of a robust kernel estimator of the regression function for functional ergodic data: Case of an unknown scale parameter

Authors:	Mohammed Kadi Attouch Zoulikha Kaid Hayat Louhab

Institution:	1. Department of Mathematics, College of Science, King Khalid University, PO. Box 9004, Abha, Saudi Arabia;2. Université Djillali-Liabès, Laboratoire de probabilités, statistique, processus stochastiques, BP. 89, 22000 Sidi Bel-Abbès, Algeria

Abstract:	Under a nonparametric robust regression model, we consider the problem of estimating the score function $ψ_{x}$ for a fixed x in a functional space and with unknown scale parameter. The principal aim of this work is to establish the asymptotic normality of this estimator for a stationary ergodic process without any use of traditional mixing conditions.

Keywords:
本文献已被 ScienceDirect 等数据库收录！