Menu Content/Inhalt
Seminars Print
previous year previous month next month next year
See by year See by month See by week See Today Search Jump to month
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
Contact: This e-mail address is being protected from spam bots, you need JavaScript enabled to view it

Back