Statistical properties of the quantile normalization method for density curve alignment.
The article investigates the large sample properties of the quantile normalization method by Bolstad et al. (2003)  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. Copyright © 2013 Elsevier Inc. All rights reserved.