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Activity Number: 271
Type: Contributed
Date/Time: Tuesday, August 5, 2008 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #301647
Title: BLUP for Functional Data
Author(s): Ana Kupresanin*+
Companies: Arizona State University
Address: , , ,
Keywords: BLUP ; Canonical correlation ; Functional data ; Reproducing kernel Hilbert space ; Stochastic process
Abstract:

We consider the regression setting where either the predictor or the response or both are random functions defined on a compact subset of R. We approach the regression problem from the best linear predictor point of view and our motivation comes from the fact that regression is related to canonical correlation analysis. The resulting form for the best linear unbiased predictor is derived using the isomorphism that relates a second-order process to the reproducing kernel Hilbert space generated by its covariance kernel. We implement the proposed predictor and study it through simulation.


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Revised September, 2008