The quarter median

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Ludwig Baringhaus
  • Rudolf Grübel

Research Organisations

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Details

Original languageEnglish
Pages (from-to)419-458
Number of pages40
JournalMETRIKA
Volume85
Issue number4
Early online date8 Aug 2021
Publication statusPublished - May 2022

Abstract

We introduce and discuss a multivariate version of the classical median that is based on an equipartition property with respect to quarter spaces. These arise as pairwise intersections of the half-spaces associated with the coordinate hyperplanes of an orthogonal basis. We obtain results on existence, equivariance, and asymptotic normality.

Keywords

    Asymptotic normality, Consistency, Equipartition, Estimation of location, Euclidean motion equivariance, Multivariate median

ASJC Scopus subject areas

Cite this

The quarter median. / Baringhaus, Ludwig; Grübel, Rudolf.
In: METRIKA, Vol. 85, No. 4, 05.2022, p. 419-458.

Research output: Contribution to journal › Article › Research › peer review

Baringhaus, L & Grübel, R 2022, 'The quarter median', METRIKA, vol. 85, no. 4, pp. 419-458. https://doi.org/10.1007/s00184-021-00836-z
Baringhaus, L., & Grübel, R. (2022). The quarter median. METRIKA, 85(4), 419-458. https://doi.org/10.1007/s00184-021-00836-z
Baringhaus L, Grübel R. The quarter median. METRIKA. 2022 May;85(4):419-458. Epub 2021 Aug 8. doi: 10.1007/s00184-021-00836-z
Baringhaus, Ludwig ; Grübel, Rudolf. / The quarter median. In: METRIKA. 2022 ; Vol. 85, No. 4. pp. 419-458.
Download
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