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
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(Document in English)
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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 |
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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 - Toulouse INP (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) |
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Deposited On: | 24 Mar 2015 16:30 |
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