Abstract #300889

This is the preliminary program for the 2003 Joint Statistical Meetings in San Francisco, California. Currently included in this program is the "technical" program, schedule of invited, topic contributed, regular contributed and poster sessions; Continuing Education courses (August 2-5, 2003); and Committee and Business Meetings. This on-line program will be updated frequently to reflect the most current revisions.

To View the Program:
You may choose to view all activities of the program or just parts of it at any one time. All activities are arranged by date and time.

The views expressed here are those of the individual authors
and not necessarily those of the ASA or its board, officers, or staff.

Back to main JSM 2003 Program page
JSM 2003 Abstract #300889
Activity Number: 378
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 12:00 PM to 1:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #300889
Title: Kernel Regression Estimation in Banach Space
Author(s): Sophie Dabo-Niang*+ and Noureddine Rhomari
Companies: University Paris 6 and CREST and University of Oujda Maroc
Address: Labo De Statistique Du CREST, 3 Avenue, Malakoff Cedex, , France
Keywords: regression estimate ; Banach space ; metric space ; nonparametric ; infinite dimension ; functional space
Abstract:

We study a nonparametric regression estimate when the response variable is in a Banach space and the explanatory variable in a semimetric space. The present framework includes the classical finite dimensional case, but also spaces of infinite dimension, particularly functional spaces. This problem was widely studied, when the variables take values in a finite dimensional space, contrary to the infinite dimensional case. We establish some asymptotic results and give upper bounds of the p mean and (pointwise and integrated) almost sure estimation errors, under general conditions. As an exemple, we study the case when the explanatory variable is the Wiener process.

  • The address information is for the authors that have a + after their name.
  • Authors who are presenting talks have a * after their name.

Back to the full JSM 2003 program

JSM 2003 For information, contact meetings@amstat.org or phone (703) 684-1221. If you have questions about the Continuing Education program, please contact the Education Department.
Revised March 2003