Second-Order Inference for Functional Data with Application to DNA Minicircles

  • Victor M. Panaretos
  • David Kraus
  • John H. Maddocks
Conference paper
Part of the Contributions to Statistics book series (CONTRIB.STAT.)

Abstract

The problem of comparison of second-order (covariance) properties of two samples of random curves is considered. The work is motivated by the study of the mechanical properties of short strands of DNA. Our test is based on the common empirical Karhunen–Loéve expansion and truncated approximation of the Hilbert– Schmidt distance of the empirical covariance operators.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Amzallag, A., Vaillant, C., Jacob, M.,Unser,M., Bednar, J., Kahn, J. D., Dubochet, J., Stasiak, A., Maddocks, J. H.: 3D reconstruction and comparison of shapes of DNA minicircles observed by cryo-electron microscopy. Nucleic Acids Research 34, e125 (2006)CrossRefGoogle Scholar
  2. 2.
    Benko, M., Härdle W., Kneip, A.: Common functional principal components. Ann. Stat. 37, 1–34 (2009)MATHGoogle Scholar
  3. 3.
    Horváth, L., Hušková, M., Kokoszka, P.: J. Multivariate Anal. 101, 352–367.Google Scholar
  4. 4.
    Panaretos, V. M., Kraus, D., Maddocks, J. H.: Second-order comparison of Gaussian random functions and the geometry of DNA minicircles. J. Am. Stat. Assoc. 105, 670–682 (2010)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Victor M. Panaretos
    • 1
  • David Kraus
    • 1
  • John H. Maddocks
    • 1
  1. 1.Ecole Polytechnique Fédérale de LausanneLausanneSwitzerland

Personalised recommendations