Acta Mathematica Hungarica
Volume/Issue:
Volume 107: Issue 4
A characterization of parallelepipeds related to weak derivatives
Author:
H. Weisshaupt University of Vienna, Department Of Statistics A-1010 Vienna, Universitässtrasse 5/3, Austria

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Pages:
319–328
Online Publication Date:
31 May 2005
Publication Date:
01 Jun 2005
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-005-0199-6
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Summary We characterize parallelepipeds in Rm within the family of all convex bodies by a property of special measures on its boundary. We show that these measures are related to weak derivatives (in the sense of [5] and [8]) of convex-valued functions. The results can be applied (see [9]) to derive a generalization of a theorem of Lehmann (see [4]) on the comparison of uniform location experiments.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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