Another look at halfspace depth: flag halfspaces with applications
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10472951" target="_blank" >RIV/00216208:11320/24:10472951 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=pyRDzC6X8P" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=pyRDzC6X8P</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/10485252.2023.2236721" target="_blank" >10.1080/10485252.2023.2236721</a>
Alternative languages
Result language
angličtina
Original language name
Another look at halfspace depth: flag halfspaces with applications
Original language description
The halfspace depth is a well-studied tool of nonparametric statistics in multivariate spaces. We introduce a flag halfspace - an intermediary between a closed halfspace and its interior - and demonstrate that the halfspace depth can be equivalently formulated also in terms of flag halfspaces. Flag halfspaces allow us to derive theoretical results regarding the halfspace depth without the need to differentiate absolutely continuous measures from measures containing atoms, as was frequently done previously. Flag halfspaces are used to state results on the dimensionality of the halfspace median set for random samples. We prove that under mild conditions, the dimension of the sample halfspace median set of d-variate data cannot be d-1 and that for d = 2, the sample halfspace median set must be either a two-dimensional convex polygon or a data point.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
<a href="/en/project/GX19-28231X" target="_blank" >GX19-28231X: DyMoDiF - Dynamic Models for the Digital Finance</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Nonparametric Statistics
ISSN
1048-5252
e-ISSN
1029-0311
Volume of the periodical
36
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
17
Pages from-to
165-181
UT code for WoS article
001030017300001
EID of the result in the Scopus database
2-s2.0-85165503925