The one- and multi-sample problem for functional data with application to projective shape analysis

Authors:
A. Munk;R. Paige;J. Pang;V. Patrangenaru;F. Ruymgaart
Affiliations:
Institute for Mathematical Stochastics, Gottingen University, Germany;Department of Mathematics and Statistics, Texas Tech University, USA;Department of Mathematics and Statistics, Texas Tech University, USA;Department of Statistics, Florida State University, USA;Department of Mathematics and Statistics, Texas Tech University, USA
Venue:
Journal of Multivariate Analysis
Year:
2008

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Abstract

In this paper tests are derived for testing neighborhood hypotheses for the one- and multi-sample problem for functional data. Our methodology is used to generalize testing in projective shape analysis, which has traditionally involving data consisting of finite number of points, to the functional case. The one-sample test is applied to the problem of scene identification, in the context of the projective shape of a planar curve.