The quarter median

Baringhaus, Ludwig; Grübel, Rudolf

dc.identifier.uri	http://dx.doi.org/10.15488/14933
dc.identifier.uri	https://www.repo.uni-hannover.de/handle/123456789/15052
dc.contributor.author	Baringhaus, Ludwig
dc.contributor.author	Grübel, Rudolf
dc.date.accessioned	2023-10-16T07:34:25Z
dc.date.available	2023-10-16T07:34:25Z
dc.date.issued	2022
dc.identifier.citation	Baringhaus, L.; Grübel, R.: The quarter median. In: Metrika 85 (2022), Nr. 4, S. 419-458. DOI: https://doi.org/10.1007/s00184-021-00836-z
dc.description.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.	eng
dc.language.iso	eng
dc.publisher	Berlin ; Heidelberg : Springer
dc.relation.ispartofseries	Metrika 85 (2022), Nr. 4
dc.rights	CC BY 4.0 Unported
dc.rights.uri	https://creativecommons.org/licenses/by/4.0
dc.subject	Asymptotic normality	eng
dc.subject	Consistency	eng
dc.subject	Equipartition	eng
dc.subject	Estimation of location	eng
dc.subject	Euclidean motion equivariance	eng
dc.subject	Multivariate median	eng
dc.subject.ddc	510 \| Mathematik
dc.title	The quarter median	eng
dc.type	Article
dc.type	Text
dc.relation.essn	1435-926X
dc.relation.issn	0026-1335
dc.relation.doi	https://doi.org/10.1007/s00184-021-00836-z
dc.bibliographicCitation.issue	4
dc.bibliographicCitation.volume	85
dc.bibliographicCitation.firstPage	419
dc.bibliographicCitation.lastPage	458
dc.description.version	publishedVersion	eng
tib.accessRights	frei zug�nglich