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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.
Fuente: Journal of Multivariate Analysis. Vol. 135, March 2015, P. 117–130
Publisher: Academic Press Inc.
Publication date: 01/03/2015
No. of pages: 14
Publication type: Article
DOI: 10.1016/j.jmva.2014.12.005
ISSN: 0047-259X,1095-7243
Publication Url: http://dx.doi.org/10.1016/j.jmva.2014.12.005
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AGULLÓ-ANTOLÍN, MARINA
JUAN ANTONIO CUESTA ALBERTOS
LESCORNEL, HÉLÈNE
LOUBES, JEAN-MICHEL
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