OATAO - Open Archive Toulouse Archive Ouverte Open Access Week

Statistical properties of the quantile normalization method for density curve alignment

Gallón, Santiago and Loubes, Jean-Michel and Maza, Elie Statistical properties of the quantile normalization method for density curve alignment. (2013) Mathematical Biosciences, 242 (2). 129-142. ISSN 0025-5564

[img]
Preview
(Document in English)

PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
7MB

Official URL: http://dx.doi.org/10.1016/j.mbs.2012.12.007

Abstract

The article investigates the large sample properties of the quantile normalization method by Bolstad et al. (2003) [4] which has become one of the most popular methods to align density curves in microarray data analysis. We prove consistency of this method which is viewed as a particular case of the structural expectation procedure for curve alignment, which corresponds to a notion of barycenter of measures in the Wasserstein space. Moreover, we show that, this method fails in some case of mixtures, and we propose a new methodology to cope with this issue.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com/science/article/pii/S002555641300014X
HAL Id:hal-01135106
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
French research institutions > Institut National de la Recherche Agronomique - INRA (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Universidad de Antioquia (COLOMBIA)
Laboratory name:
Statistics:download
Deposited By: Brigitte LAFFORGUE
Deposited On:24 Mar 2015 16:30

Repository Staff Only: item control page