Superoptimal Rate of Convergence in Nonparametric Estimation for Functional Valued Processes. (16th September 2014)

• Record Type: Journal Article
• Authors: Chesneau, Christophe; Maillot, Bertrand
• Other Names: Guillou Armelle Academic Editor.
• Is Part Of: ISRN obstetrics and gynecology. Volume 2014(2014)
• Publication Date: 2014-09-16
• Subjects: Obstetrics -- Periodicals; Gynecology -- Periodicals; Pregnancy Complications; Genital Diseases, Female; Gynecology; Obstetrics; Electronic journals; Periodical; Periodicals; Fulltext; Internet Resources; Periodicals; 618.2
• DOI: 10.1155/2014/264217
• Languages: English
• ISSNs: 2090-4436

Abstract

Abstract : We consider the nonparametric estimation of the generalised regression function for continuous time processes with irregular paths when the regressor takes values in a semimetric space. We establish the mean-square convergence of our estimator with the same superoptimal rate as when the regressor is real valued.