J 2010

Second-Order Comparison of Gaussian Random Functions and the Geometry of DNA Minicircles

PANARETOS, Victor M., David KRAUS and John H. MADDOCKS

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

Language

English

Type of outcome

Článek v odborném periodiku

Confidentiality degree

není předmětem státního či obchodního tajemství

Impact factor

Impact factor: 2.063

DOI

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
Změněno: 12/1/2016 16:26, doc. Mgr. David Kraus, Ph.D.

Abstract

V originále

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.