Artikel

The quarter median

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.

Language
Englisch

Bibliographic citation
Journal: Metrika ; ISSN: 1435-926X ; Volume: 85 ; Year: 2021 ; Issue: 4 ; Pages: 419-458 ; Berlin, Heidelberg: Springer

Classification
Mathematik
Crisis Management
Structure, Scope, and Performance of Government
Foreign Aid
Subject
Asymptotic normality
Consistency
Estimation of location
Euclidean motion equivariance
Equipartition
Multivariate median

Event
Geistige Schöpfung
(who)
Baringhaus, Ludwig
Grübel, Rudolf
Event
Veröffentlichung
(who)
Springer
(where)
Berlin, Heidelberg
(when)
2021

DOI
doi:10.1007/s00184-021-00836-z
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Baringhaus, Ludwig
  • Grübel, Rudolf
  • Springer

Time of origin

  • 2021

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