Bootstrap-based testing of equality of mean functions or equality of covariance operators for functional data

We investigate the properties of a simple bootstrap method for testing the equality of mean functions or of covariance operators in functional data. Theoretical size and power results are derived for certain test statistics, whose limiting distributions depend on unknown infinite-dimensional paramet...

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Bibliographic Details
Published in:Biometrika 2016-09, Vol.103 (3), p.727-733
Main Authors: PAPARODITIS, E., SAPATINAS, T.
Format: Article
Language:English
Subjects:
Miscellanea
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Summary:We investigate the properties of a simple bootstrap method for testing the equality of mean functions or of covariance operators in functional data. Theoretical size and power results are derived for certain test statistics, whose limiting distributions depend on unknown infinite-dimensional parameters. Simulations demonstrate good size and power of the bootstrap-based functional tests.
ISSN:0006-3444
1464-3510
DOI:10.1093/biomet/asw033