Rice University

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Colloquium

Statistics

Speaker: Theofanis Sapatinas
Professor of Statistics
University of Cyprus

Bootstrap-Based Testing of Equality of Mean Functions or Equality of Covariance Operators for Functional Data

Monday, February 6, 2017
4:00 PM  to 5:00 PM

1070  Duncan Hall
Rice University
6100 Main St
Houston, Texas, USA

We investigate properties of a simple and easy to implement bootstrap methodology for testing equality of mean functions or equality of covariance operators between different populations of functional data. The methodology bootstraps the original functional dataset in a way that satisfies the null hypothesis of interest. Theoretical size and power results are derived for some interesting test statistics, whose limiting distributions depend on unknown and difficult-to-estimate infinite-dimensional parameters. Simulations demonstrate good size and power performances of the bootstrap-based functional tests. An illustration to an interesting real-life dataset is also presented. (This is joint work with Efstathios Paparoditis, University of Cyprus, Cyprus.)

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