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David Kraus, Lausanne Print
Friday, 09 December 2011, 14:30 - 15:30

David Kraus, Ecole Polytechnique Fédérale de Lausanne

Second-order comparison of functional data and the geometry of DNA minicircles.

 Abstract: The problem of comparison of second-order properties of two samples of random curves is considered. We propose and investigate tests for comparing covariance operators using the common empirical Karhunen--Lo\`eve expansion and truncated approximation of the Hilbert--Schmidt distance of the empirical covariance operators. The work is motivated by the study of the mechanical properties of short strands of DNA. We present results for a dataset of DNA minicircles obtained through the electron microscope. We also deal with the problem of alignment of random three-dimensional closed curves. In the last part of the talk we present a method that is resitant to the presence of atypical observations in functional samples. We introduce a class of dispersion operators and develop a spectrally truncated score test. The talk is based on joint work with Victor Panaretos and John Maddocks.

Location: Plaine
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