Multivariate ranks based on randomized lift-interdirections

DOI10.1016/j.csda.2022.107480OpenAlexW4221009137MaRDI QIDQ2143004

Šárka Hudecová, Miroslav Šiman

Publication date: 30 May 2022

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2022.107480

zbMATH Keywords

robustnessrank testinterdirectionmultivariate ranklift-interdirectionone-sample test

Mathematics Subject Classification ID

Statistics (62-XX)

Uses Software

• ICSNP
• MNM

Cites Work

• Unnamed Item
• Monge-Kantorovich depth, quantiles, ranks and signs
• General notions of statistical depth function.
• Optimal tests for multivariate location based on interdirections and pseudo-Mahalanobis ranks.
• Distribution and quantile functions, ranks and signs in dimension \(d\): a measure transportation approach
• Optimal signed-rank tests based on hyperplanes
• A Distribution-Free Multivariate Sign Test Based on Interdirections
• The geometry of the affine invariant multivariate sign and rank methods
• Multivariate spatial sign and rank methods
• Sign Tests in Multidimension: Inference Based on the Geometry of the Data Cloud
• Affine Invariant Multivariate Sign and Rank Tests and Corresponding Estimates: a Review
• Incomplete interdirections and lift-interdirections
• Testing Statistical Hypotheses

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