A Comparison of Band-based Approaches to Functional Depth
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10501003" target="_blank" >RIV/00216208:11320/25:10501003 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-031-92383-8_7" target="_blank" >https://doi.org/10.1007/978-3-031-92383-8_7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-92383-8_7" target="_blank" >10.1007/978-3-031-92383-8_7</a>
Alternative languages
Result language
angličtina
Original language name
A Comparison of Band-based Approaches to Functional Depth
Original language description
Statistical depth functions have become essential tools for analyzing mul-tivariate data, as they provide center-outward ordering of the data and thus measurecentrality. Classical depth notions, such as Tukey depth and simplicial depth, arewidely applied in various statistical tasks, including outlier detection and data vi-sualization. With the growing demand for analyzing complex data structures, depthfunctions have been extended to functional data, where observations are treatedas functions rather than finite-dimensional vectors. This article focuses on func-tional depths defined using bands formed by random functions. We study four suchdepth functions: (i) band depth, (ii) modified band depth, (iii) spherical depth, and(iv) modified spherical depth, the last of which is introduced here for the first time.We compare these notions with an emphasis on theoretical properties and evaluatetheir practical performance through an application to real-world data.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
New Trends in Functional Statistics and Related Fields
ISBN
978-3-031-92382-1
ISSN
1431-1968
e-ISSN
2628-8966
Number of pages
9
Pages from-to
51-59
Publisher name
Springer Nature Switzerland AG
Place of publication
Cham
Event location
Novara (Italy)
Event date
Jun 25, 2025
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
001545850800007