| 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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@article{1324001,
author = {Panaretos, Victor M. and Kraus, David and Maddocks, John H.},
article_location = {Alexandria},
article_number = {490},
doi = {http://dx.doi.org/10.1198/jasa.2010.tm09239},
keywords = {Covariance operator; DNA shape; Functional data analysis; Hilbert-Schmidt norm; Karhunen-Loeve expansion; Regularization; Spectral truncation; Two-sample testing},
language = {eng},
issn = {0162-1459},
journal = {Journal of the American Statistical Association},
title = {Second-Order Comparison of Gaussian Random Functions and the Geometry of DNA Minicircles},
volume = {105},
year = {2010}
}
TY - JOUR
ID - 1324001
AU - Panaretos, Victor M. - Kraus, David - Maddocks, John H.
PY - 2010
TI - Second-Order Comparison of Gaussian Random Functions and the Geometry of DNA Minicircles
JF - Journal of the American Statistical Association
VL - 105
IS - 490
SP - 670-682
EP - 670-682
PB - Amer Statistical Assoc
SN - 01621459
KW - Covariance operator
KW - DNA shape
KW - Functional data analysis
KW - Hilbert-Schmidt norm
KW - Karhunen-Loeve expansion
KW - Regularization
KW - Spectral truncation
KW - Two-sample testing
N2 - 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.
ER -
PANARETOS, Victor M., David KRAUS and John H. MADDOCKS. Second-Order Comparison of Gaussian Random Functions and the Geometry of DNA Minicircles. \textit{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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