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A parametric registration model for warped distributions with Wasserstein’s distance

Abstract: We consider a parametric deformation model for distributions. More precisely, we assume we observe JJ samples of random variables which are warped from an unknown distribution template. We tackle in this paper the problem of estimating the individual deformation parameters. For this, we construct a registering criterion based on the Wasserstein distance to quantify the alignment of the distributions. We prove consistency of the empirical estimators.

Otras publicaciones de la misma revista o congreso con autores/as de la Universidad de Cantabria

 Fuente: Journal of Multivariate Analysis. Vol. 135, March 2015, P. 117–130

Editorial: Academic Press Inc.

 Fecha de publicación: 01/03/2015

Nº de páginas: 14

Tipo de publicación: Artículo de Revista

DOI: 10.1016/j.jmva.2014.12.005

ISSN: 0047-259X,1095-7243

Url de la publicación: http://dx.doi.org/10.1016/j.jmva.2014.12.005

Autores/as

AGULLÓ-ANTOLÍN, MARINA

LESCORNEL, HÉLÈNE

LOUBES, JEAN-MICHEL