title: Statistical properties of the quantile normalization method for density curve alignment.
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.
authors: Departamento de Matemáticas y Estadística, Universidad de Antioquia, Medellín, Colombia. santiagog@udea.edu.co
authors: Santiago
authors: S
authors: Gallón
authors: Jean-Michel
authors: JM
authors: Loubes
authors: Elie
authors: E
authors: Maza
mesh_terms: D003627:Data Interpretation, Statistical; D046228:Microarray Analysis / Q000379:methods*; D015233:Models, Statistical