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Abstract Details

Activity Number: 79
Type: Contributed
Date/Time: Sunday, July 29, 2012 : 4:00 PM to 5:50 PM
Sponsor: ENAR
Abstract - #304965
Title: Inference for the Bivariate Mean Function of Functional Data with a Two-Dimensional Domain
Author(s): Andrada Ivanescu*+
Companies: East Carolina University
Address: 2435 Health Sciences Building, Greenville, NC, 27834, United States
Keywords: functional data ; bivariate functional parameter ; adaptive inference ; non-parametric mean estimation ; thresholded estimators
Abstract:

This work proposes inference methods for the bivariate mean function of functional data with a two-dimensional domain observed at discrete points and corrupted by additive noise. The estimation of the mean function is performed using a tensor product comprised of orthonormal basis functions and the selection of relevant features is performed via hard thresholding using data-adaptive truncation levels. Confidence sets for the bivariate functional parameter are also proposed. Methods are implemented in simulation studies and in an application to electricity demand.


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