A bivariate test for location based on simplicial depth

DOI10.1080/03610926.2019.1710205OpenAlexW3008901782MaRDI QIDQ5078881

Timothy J. Killeen, Thomas P. Hettmansperger

Publication date: 25 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2019.1710205

zbMATH Keywords

simplicial depthdistribution freedata depthbivariate testdegenerate U-statistic

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Statistics (62-XX)

Uses Software

• MINITAB

Cites Work

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• On a notion of data depth based on random simplices
• Multivariate nonparametric methods with R. An approach based on spatial signs and ranks.
• Descriptive statistics for multivariate distributions
• The number of triangles covering the center of an \(n\)-set
• Projection-based depth functions and associated medians
• Multivariate analysis by data depth: Descriptive statistics, graphics and inference. (With discussions and rejoinder)
• New nonparametric tests of multivariate locations and scales using data depth
• A New Bivariate Sign Test
• Approximation Theorems of Mathematical Statistics
• A Distribution-Free Multivariate Sign Test Based on Interdirections
• Bivariate Sign Tests
• A Simpler, Affine-Invariant, Multivariate, Distribution-Free Sign Test
• A Class of Statistics with Asymptotically Normal Distribution
• A Bivariate Sign Test