Efficient Fully Distribution-Free Center-Outward Rank Tests for Multiple-Output Regression and MANOVA

DOI10.1080/01621459.2021.2021921arXiv2007.15496OpenAlexW3123683497MaRDI QIDQ6077584

Daniel Hlubinka, Marc Hallin, Šárka Hudecová

Publication date: 18 October 2023

Published in: Journal of the American Statistical Association (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.15496

zbMATH Keywords

multivariate ranksdistribution-free testsmultivariate signsHájek representation

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (1)

On universally consistent and fully distribution-free rank tests of vector independence

Cites Work

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• Computational Optimal Transport: With Applications to Data Science
• Monge-Kantorovich depth, quantiles, ranks and signs
• Affine-invariant aligned rank tests for the multivariate general linear model with VARMA errors
• Multivariate nonparametric methods with R. An approach based on spatial signs and ranks.
• Linear serial rank tests for randomness against ARMA alternatives
• Asymptotic methods in statistical decision theory
• A distribution-free M-estimator of multivariate scatter
• Asymptotically most powerful rank tests for multivariate randomness against serial dependence
• Aligned rank tests for linear models with autocorrelated error terms
• The design and analysis of computer experiments.
• On the continuity of center-outward distribution and quantile functions
• Optimal procedures based on interdirections and pseudo-Mahalanobis ranks for testing multivariate elliptic white noise against ARMA dependence
• Local asymptotic normality of multivariate ARMA processes with a linear trend
• Existence and uniqueness of monotone measure-preserving maps
• Distribution and quantile functions, ranks and signs in dimension \(d\): a measure transportation approach
• Rank-based testing for semiparametric VAR models: a measure transportation approach
• A note on the regularity of optimal-transport-based center-outward distribution and quantile functions
• Center-outward quantiles and the measurement of multivariate risk
• \(R\)-estimation of the parameters of autoregressive [AR(\(p\)) models]
• On the limiting distributions of multivariate depth-based rank sum statistics and related tests
• Rank-based optimal tests of the adequacy of an elliptic VARMA model
• A Quality Index Based on Data Depth and Multivariate Rank Tests
• Testing Statistical Hypotheses
• A Remark on Quadratic Mean Differentiability
• Distribution-Free Consistent Independence Tests via Center-Outward Ranks and Signs
• Center-Outward R-Estimation for Semiparametric VARMA Models
• Multivariate Rank-Based Distribution-Free Nonparametric Testing Using Measure Transportation

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