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The geometry of the affine invariant multivariate sign and rank methods

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Publication:3836401
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DOI10.1080/10485259908832784zbMath0992.62058OpenAlexW2054270693WikidataQ109967707 ScholiaQ109967707MaRDI QIDQ3836401

Hannu Oja, Thomas P. Hettmansperger, Jyrki Möttönen

Publication date: 6 December 1999

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485259908832784


Mathematics Subject Classification ID

Multivariate analysis (62H99)


Related Items

Multivariate ranks based on randomized lift-interdirections, An affine invariant \(k\)-nearest neighbor regression estimate, The asymptotic covariance matrix of the Oja median., Incomplete interdirections and lift-interdirections, Inference based on the affine invariant multivariate Mann–Whitney–Wilcoxon statistic, Optimal signed-rank tests based on hyperplanes, Asymptotic linearity of serial and nonserial multivariate signed rank statistics



Cites Work

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  • On a notion of data depth based on random simplices
  • A Distribution-Free Multivariate Sign Test Based on Interdirections
  • Sign Tests in Multidimension: Inference Based on the Geometry of the Data Cloud
  • Interdirection Tests for Simple Repeated-Measures Designs
  • Affine-Invariant Multivariate One-Sample Signed-Rank Tests
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