Multivariate nonparametric tests

DOI10.1214/088342304000000558zbMath1100.62567OpenAlexW1982725927MaRDI QIDQ2503952

Hannu Oja, Ronald Herman Randles

Publication date: 22 September 2006

Published in: Statistical Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/088342304000000558

zbMATH Keywords

robustnessspatial signPitman efficiencyspatial rankAffine invariance

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Hypothesis testing in multivariate analysis (62H15)

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Cites Work

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• A distribution-free M-estimator of multivariate scatter
• On Tyler's \(M\)-functional of scatter in high dimension
• On the efficiency of multivariate spatial sign and rank tests
• Sign test of independence between two random vectors.
• Multivariate analysis by data depth: Descriptive statistics, graphics and inference. (With discussions and rejoinder)
• General notions of statistical depth function.
• Optimal tests for multivariate location based on interdirections and pseudo-Mahalanobis ranks.
• A Distribution-Free Multivariate Sign Test Based on Interdirections
• Multivariate spatial sign and rank methods
• A practical affine equivariant multivariate median
• A Simpler, Affine-Invariant, Multivariate, Distribution-Free Sign Test
• On the Independence of k Sets of Normally Distributed Statistical Variables
• Affine Invariant Multivariate Sign and Rank Tests and Corresponding Estimates: a Review
• Multivariate Nonparametric Tests of Independence
• A NEW MEASURE OF RANK CORRELATION
• On a Measure of Dependence Between two Random Variables