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arXiv · 1508.06465

A statistical analysis of a deformation model with Wasserstein barycenters : estimation procedure and goodness of fit test

Eustasio Del Barrio·Hélène Lescornel·Jean-Michel Loubes
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Abstract

We propose a study of a distribution registration model for general deformation functions. In this framework, we provide estimators of the deformations as well as a goodness of fit test of the model. For this, we consider a criterion which studies the Fr{é}chet mean (or barycenter) of the warped distributions whose study enables to make inference on the model. In particular we obtain the asymptotic distribution and a bootstrap procedure for the Wasserstein variation.

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Eustasio Del Barrio, Hélène Lescornel, Jean-Michel Loubes. 2015-10-01. A statistical analysis of a deformation model with Wasserstein barycenters : estimation procedure and goodness of fit test. https://arxiv.org/abs/1508.06465

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