This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 120
Type: Topic Contributed
Date/Time: Monday, August 2, 2010 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #309458
Title: Linear Prediction in Functional Data Analysis
Author(s): Tailen Hsing*+ and Hyejin Shin
Companies: University of Michigan and Auburn University
Address: Department of Statistics, , ,
Keywords:
Abstract:

In this talk we introduce a new formulation of linear prediction in the functional data context that predicts a scalar response by observing a functional predictor. This formulation substantially generalizes the scope of functional linear prediction, which currently is normally considered in the setting of linear regression. It also provides a natural setting for classical linear prediction theory to play a role in modern functional data analysis. Based on this formulation, we derive the convergence rate of mean squared prediction error. A simulation study is provided to illustrate the finite sample performance for the approach.


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