PANARETOS, Victor M., David KRAUS and John H. MADDOCKS. Second-Order Comparison of Gaussian Random Functions and the Geometry of DNA Minicircles. Journal of the American Statistical Association. Alexandria: Amer Statistical Assoc, 2010, vol. 105, No 490, p. 670-682. ISSN 0162-1459. Available from: https://dx.doi.org/10.1198/jasa.2010.tm09239.
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Basic information
Original name Second-Order Comparison of Gaussian Random Functions and the Geometry of DNA Minicircles
Authors PANARETOS, Victor M., David KRAUS and John H. MADDOCKS.
Edition Journal of the American Statistical Association, Alexandria, Amer Statistical Assoc, 2010, 0162-1459.
Other information
Original language English
Type of outcome Article in a journal
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 2.063
Doi http://dx.doi.org/10.1198/jasa.2010.tm09239
UT WoS 000280216700019
Keywords in English Covariance operator; DNA shape; Functional data analysis; Hilbert-Schmidt norm; Karhunen-Loeve expansion; Regularization; Spectral truncation; Two-sample testing
Tags International impact, Reviewed
Changed by Changed by: doc. Mgr. David Kraus, Ph.D., učo 238224. Changed: 12/1/2016 16:26.
Abstract
Given two samples of continuous zero-mean iid Gaussian processes on [0, 1], we consider the problem of testing whether they share the same covariance structure. Our study is motivated by the problem of determining whether the mechanical properties of short strands of DNA are significantly affected by their base-pair sequence; though expected to be true, had so far not been observed in three-dimensional electron microscopy data, The testing problem is seen to involve aspects of ill-posed inverse problems and a test based on a Karhunen-Loeve approximation of the Hilbert-Schmidt distance of the empirical covariance operators is proposed and investigated. When applied to a dataset of DNA minicircles obtained through the electron microscope, our test seems to suggest potential sequence effects on DNA shape. Supplemental material available online.
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