Another look at halfspace depth: flag halfspaces with applications

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Another look at halfspace depth: flag halfspaces with applications

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Another look at halfspace depth: flag halfspaces with applications

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10103 - Statistics and probability

Projekt

<a href="/cs/project/GX19-28231X" target="_blank" >GX19-28231X: Dynamické modely pro digitální finance</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Nonparametric Statistics

ISSN

1048-5252

e-ISSN

1029-0311

Svazek periodika

36

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

17

Strana od-do

165-181

Kód UT WoS článku

001030017300001

EID výsledku v databázi Scopus

2-s2.0-85165503925