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Central limit theorem and bootstrap procedure for Wasserstein’s variations with an application to structural relationships between distributions

  • Published:2019-01 Issue: Volume:169 Page:341-362
  • ISSN:0047-259X
  • Container-title:Journal of Multivariate Analysis
  • language:en
  • Short-container-title:Journal of Multivariate Analysis

Author:

del Barrio Eustasio,Gordaliza Paula,Lescornel Hélène,Loubes Jean-Michel

Funder

Spanish Ministerio de Economía y Competitividad

Consejería de Educación de la Junta de Castilla y León, Spain

FEDER, Spain

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Numerical Analysis,Statistics and Probability

Reference34 articles.

1. Barycenters in the Wasserstein space;Agueh;SIAM J. Math. Anal.,2011

2. A parametric registration model for warped distributions with Wasserstein’s distance;Agulló-Antolín;J. Multivariate Anal.,2015

3. Towards a coherent statistical framework for dense deformable template estimation;Allassonnière;J. R. Stat. Soc. Ser. B Stat. Methodol.,2007

4. Trimmed comparison of distributions;Álvarez-Esteban;J. Amer. Statist. Assoc.,2008

5. Structural image restoration through deformable template;Amit;J. Amer. Statist. Assoc.,1991

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