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Journal of Nonparametric Statistics Volume 11, 1999 - Issue 1-3
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Original Articles

The geometry of the affine invariant multivariate sign and rank methods

T. P. Hettmansperger Department of Statistics, The Pennsylvania State University, 326 Classroom Bldg., University Park, PA, 16802-2111, USA
,
J. Möttönen Department of Mathematical Sciences/Statistics, University of Oulu, Finland
&
H. Oja Department of Mathematical Sciences/Statistics, University of Oulu, FinlandCorrespondence[email protected]
Pages 271-285 | Received 14 Dec 1996, Published online: 12 Apr 2007

Citations (9)

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Read on this site (2)

Šárka Hudecová, Jana Klicnarová & Miroslav Šiman. (2020) Incomplete interdirections and lift-interdirections. Journal of Nonparametric Statistics 32:1, pages 93-108.
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A. Topchii, Y. Tyurin & H. Oja . (2003) Inference based on the affine invariant multivariate Mann–Whitney–Wilcoxon statistic . Journal of Nonparametric Statistics 15:4-5, pages 403-419.
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Articles from other publishers (7)

Šárka Hudecová & Miroslav Šiman. (2022) Multivariate ranks based on randomized lift-interdirections. Computational Statistics & Data Analysis 172, pages 107480.
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Karl Mosler & Oleksii Pokotylo. 2015. Modern Nonparametric, Robust and Multivariate Methods. Modern Nonparametric, Robust and Multivariate Methods 185 203 .
Gérard Biau, Luc Devroye, Vida Dujmović & Adam Krzyżak. (2012) An affine invariant -nearest neighbor regression estimate . Journal of Multivariate Analysis 112, pages 24-34.
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Gerard Biau, Adam Krzyzak, Luc Devroye & Vida Dujmovic. (2012) An affine invariant k-nearest neighbor regression estimate. An affine invariant k-nearest neighbor regression estimate.
Marc Hallin & Davy Paindaveine. (2006) Asymptotic linearity of serial and nonserial multivariate signed rank statistics. Journal of Statistical Planning and Inference 136:1, pages 1-32.
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Hannu Oja & Davy Paindaveine. (2005) Optimal signed-rank tests based on hyperplanes. Journal of Statistical Planning and Inference 135:2, pages 300-323.
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M. Nadar, T.P. Hettmansperger & H. Oja. (2003) The asymptotic covariance matrix of the Oja median. Statistics & Probability Letters 64:4, pages 431-442.
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