Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/286765 
Year of Publication: 
2021
Citation: 
[Journal:] Metrika [ISSN:] 1435-926X [Volume:] 85 [Issue:] 4 [Publisher:] Springer [Place:] Berlin, Heidelberg [Year:] 2021 [Pages:] 419-458
Publisher: 
Springer, Berlin, Heidelberg
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.
Subjects: 
Asymptotic normality
Consistency
Estimation of location
Euclidean motion equivariance
Equipartition
Multivariate median
JEL: 
H12
H11
F35
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article
Document Version: 
Published Version

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