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Classification Using Censored Functional Data

delete2013-12-01
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Aurore Delaigle *
P
Peter Hall
DOI:10.1080/01621459.2013.824893delete
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Abstract

Abstract

En 中文
We consider classification of functional data when the training curves are not observed on the same interval. Different types of classifier are suggested, one of which involves a new curve extension procedure. Our approach enables us to exploit the information contained in the endpoints of these intervals by incorporating it in an explicit but flexible way. We study asymptotic properties of our classifiers, and show that, in a variety of settings, they can even produce asymptotically perfect classification. The performance of our techniques is illustrated in applications to real and simulated data. Supplementary materials for this article are available online.
Keywords:
Bagging
Cross-validation
Functional principal components
Incomplete curves
Perfect classification
Quadratic discriminant
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Journal

J
Journal of the American Statistical Association
IF:
3
Papers:
5.1K
Citations:
4.8W

Organization

U
university of melbourne
Scholars:
5.7W
Papers: 5.4W
Citations: 69