info:eu-repo/semantics/article
Statistical properties of the quantile normalization method for density curve alignment
Registro en:
Gallón Gómez, S. A., Loubes, J. M. & Maza, E. (2013). Statistical properties of the quantile normalization method for density curve alignment. Mathematical Biosciences, 242(2), 129-142.
0025-5564
Autor
Gallón Gómez, Santiago Alejandro
Loubes, Jean Michel
Maza, Elie
Institución
Resumen
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.