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