Trimmed Comparison of Distributions
Authors:
- Pedro César Álvarez-EstebanPÁPedro César Álvarez-Esteban
- Eustasio del BarrioEBEustasio del Barrio
- Juan Antonio Cuesta-AlbertosJCJuan Antonio Cuesta-Albertos
- Carlos MatránCMCarlos Matrán
- 1 June 2008
- journal article
- Published by Taylor & Francis in Journal of the American Statistical Association
- Vol. 103 (482) , 697-704
Abstract
This article introduces an analysis of similarity of distributions based on the L2-Wasserstein distance between trimmed distributions. Our main innovation is the use of the impartial trimming metho...Keywords
This publication has 8 references indexed in Scilit:
- A nonparametric test for similarity of marginals—With applications to the assessment of population bioequivalenceJournal of Statistical Planning and Inference, 2007
- Principal Components and Orthogonal Regression Based on Robust ScalesTechnometrics, 2005
- Assessing the similarity of distributions - finite sample performance of the empirical mallows distanceJournal of Statistical Computation and Simulation, 1998
- Nonparametric Validation of Similar Distributions and Assessment of Goodness of FitJournal of the Royal Statistical Society Series B: Statistical Methodology, 1998
- Trimmed $k$-means: an attempt to robustify quantizersThe Annals of Statistics, 1997
- Best approximations to random variables based on trimming proceduresJournal of Approximation Theory, 1991
- Notes on the Wasserstein Metric in Hilbert SpacesThe Annals of Probability, 1989
- Some Asymptotic Theory for the BootstrapThe Annals of Statistics, 1981